3739362172954866891959870454158433811546691347795804580424247967542367672806713155626329363972311<97>

64029904137894160699939453653382583511076709<44>
58400246311501793633262292351880538367399994103824779<53>

SNFS difficulty: 111 digits.
Divisors found:
 r1=64029904137894160699939453653382583511076709 (pp44)
 r2=58400246311501793633262292351880538367399994103824779 (pp53)
Version: Msieve v. 1.42
Total time: 0.44 hours.
Scaled time: 1.20 units (timescale=2.739).
Factorization parameters were as follows:
n: 3739362172954866891959870454158433811546691347795804580424247967542367672806713155626329363972311
m: 10000000000000000000000
deg: 5
c5: 58
c0: -31
skew: 0.88
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 49264 x 49504
Total sieving time: 0.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.44 hours.

14226146676477802305616875153298994358597007603630120186411577140053961246014226146676477802305616875153298994358597<116>

335590386834784504387239992197852758626517636211067047607<57>
42391401048926704326708187457225970435707174842995360025571<59>

SNFS difficulty: 119 digits.
Divisors found:
 r1=335590386834784504387239992197852758626517636211067047607 (pp57)
 r2=42391401048926704326708187457225970435707174842995360025571 (pp59)
Version: Msieve v. 1.42
Total time: 0.87 hours.
Scaled time: 2.38 units (timescale=2.736).
Factorization parameters were as follows:
n: 14226146676477802305616875153298994358597007603630120186411577140053961246014226146676477802305616875153298994358597
m: 200000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 640001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 76358 x 76584
Total sieving time: 0.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.87 hours.

1056466302367941712204007285974499089253187613843351548269581056466302367941712204007285974499089253187613843351548269581<121>

464920469417375193572200232662861103514882907303691<51>
2272359192297716094864344333471243185707117555901008894066572651550791<70>

N=1056466302367941712204007285974499089253187613843351548269581056466302367941712204007285974499089253187613843351548269581
  ( 121 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=464920469417375193572200232662861103514882907303691 (pp51)
 r2=2272359192297716094864344333471243185707117555901008894066572651550791 (pp70)
Version: Msieve v. 1.41
Total time: 2.40 hours.
Scaled time: 4.75 units (timescale=1.982).
Factorization parameters were as follows:
n: 1056466302367941712204007285974499089253187613843351548269581056466302367941712204007285974499089253187613843351548269581
m: 2000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 955001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89180 x 89409
Total sieving time: 2.31 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 2.40 hours.
 --------- CPU info (if available) ----------

ggnfs/msieve 1.41

139657609870283601668911375940815747186350774436336032162631242504400623898265616657709917390014558261623843<108>

10365682454341659712247078164498849241329819<44>
13473074299298846240802412667099780125728616836040931580302460697<65>

Number: 64441_124
N=139657609870283601668911375940815747186350774436336032162631242504400623898265616657709917390014558261623843
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=10365682454341659712247078164498849241329819 (pp44)
 r2=13473074299298846240802412667099780125728616836040931580302460697 (pp65)
Version: Msieve-1.40
Total time: 2.53 hours.
Scaled time: 5.12 units (timescale=2.026).
Factorization parameters were as follows:
name: 64441_124
n: 139657609870283601668911375940815747186350774436336032162631242504400623898265616657709917390014558261623843
m: 10000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118575 x 118811
Total sieving time: 2.43 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.53 hours.
 --------- CPU info (if available) ----------

740966300517896959122455501051949913568949425089984203468076083503353610890837643708247527<90>

230317917783472779280908801355139<33>
3217145707328322487608679926740369461372781503408846476493<58>

Tue Jun 09 05:40:41 2009  Msieve v. 1.39
Tue Jun 09 05:40:41 2009  random seeds: dba3cd58 e3fe0ec0
Tue Jun 09 05:40:41 2009  factoring 740966300517896959122455501051949913568949425089984203468076083503353610890837643708247527 (90 digits)
Tue Jun 09 05:40:42 2009  searching for 15-digit factors
Tue Jun 09 05:40:44 2009  commencing quadratic sieve (90-digit input)
Tue Jun 09 05:40:44 2009  using multiplier of 23
Tue Jun 09 05:40:44 2009  using 64kb Pentium 4 sieve core
Tue Jun 09 05:40:44 2009  sieve interval: 18 blocks of size 65536
Tue Jun 09 05:40:44 2009  processing polynomials in batches of 6
Tue Jun 09 05:40:44 2009  using a sieve bound of 1611319 (61176 primes)
Tue Jun 09 05:40:44 2009  using large prime bound of 135350796 (27 bits)
Tue Jun 09 05:40:44 2009  using double large prime bound of 433141090259052 (42-49 bits)
Tue Jun 09 05:40:44 2009  using trial factoring cutoff of 49 bits
Tue Jun 09 05:40:44 2009  polynomial 'A' values have 12 factors
Tue Jun 09 07:58:27 2009  61458 relations (16936 full + 44522 combined from 659490 partial), need 61272
Tue Jun 09 07:58:28 2009  begin with 676426 relations
Tue Jun 09 07:58:28 2009  reduce to 148302 relations in 10 passes
Tue Jun 09 07:58:28 2009  attempting to read 148302 relations
Tue Jun 09 07:58:30 2009  recovered 148302 relations
Tue Jun 09 07:58:30 2009  recovered 127865 polynomials
Tue Jun 09 07:58:31 2009  attempting to build 61458 cycles
Tue Jun 09 07:58:31 2009  found 61458 cycles in 5 passes
Tue Jun 09 07:58:31 2009  distribution of cycle lengths:
Tue Jun 09 07:58:31 2009     length 1 : 16936
Tue Jun 09 07:58:31 2009     length 2 : 11789
Tue Jun 09 07:58:31 2009     length 3 : 10877
Tue Jun 09 07:58:31 2009     length 4 : 8015
Tue Jun 09 07:58:31 2009     length 5 : 5699
Tue Jun 09 07:58:31 2009     length 6 : 3616
Tue Jun 09 07:58:31 2009     length 7 : 2045
Tue Jun 09 07:58:31 2009     length 9+: 2481
Tue Jun 09 07:58:31 2009  largest cycle: 17 relations
Tue Jun 09 07:58:31 2009  matrix is 61176 x 61458 (14.8 MB) with weight 3643194 (59.28/col)
Tue Jun 09 07:58:31 2009  sparse part has weight 3643194 (59.28/col)
Tue Jun 09 07:58:33 2009  filtering completed in 3 passes
Tue Jun 09 07:58:33 2009  matrix is 57138 x 57201 (13.9 MB) with weight 3410202 (59.62/col)
Tue Jun 09 07:58:33 2009  sparse part has weight 3410202 (59.62/col)
Tue Jun 09 07:58:33 2009  saving the first 48 matrix rows for later
Tue Jun 09 07:58:33 2009  matrix is 57090 x 57201 (8.7 MB) with weight 2676739 (46.80/col)
Tue Jun 09 07:58:33 2009  sparse part has weight 1950038 (34.09/col)
Tue Jun 09 07:58:33 2009  matrix includes 64 packed rows
Tue Jun 09 07:58:33 2009  using block size 21845 for processor cache size 512 kB
Tue Jun 09 07:58:33 2009  commencing Lanczos iteration
Tue Jun 09 07:58:33 2009  memory use: 8.6 MB
Tue Jun 09 07:59:05 2009  lanczos halted after 905 iterations (dim = 57090)
Tue Jun 09 07:59:05 2009  recovered 18 nontrivial dependencies
Tue Jun 09 07:59:06 2009  prp33 factor: 230317917783472779280908801355139
Tue Jun 09 07:59:06 2009  prp58 factor: 3217145707328322487608679926740369461372781503408846476493
Tue Jun 09 07:59:06 2009  elapsed time 02:18:25

843394322927897026365377549418668488290321211203191730227702468445885249759060112943616393213835217652991<105>

4563387659778388937693511871883853581<37>
184817592939026058870817741062463000395240787066825512930841487415611<69>

Number: 64441_127
N=843394322927897026365377549418668488290321211203191730227702468445885249759060112943616393213835217652991
  ( 105 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=4563387659778388937693511871883853581 (pp37)
 r2=184817592939026058870817741062463000395240787066825512930841487415611 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.20 hours.
Scaled time: 2.46 units (timescale=0.473).
Factorization parameters were as follows:
name: 64441_127
n: 843394322927897026365377549418668488290321211203191730227702468445885249759060112943616393213835217652991
m: 20000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78647, largePrimes:2613755 encountered
Relations: rels:2478315, finalFF:176856
Max relations in full relation-set: 28
Initial matrix: 157212 x 176856 with sparse part having weight 13708487.
Pruned matrix : 151509 x 152359 with weight 9984418.
Total sieving time: 4.70 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 5.20 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

23209034267342478453008918977902204295017917623204003350478450858683155607960876824016810806416786769624821511<110>

34466753311020998457630093985809224389075193<44>
673374543227464904583619694013355768942795706554365875033955504127<66>

Number: 64441_132
N=23209034267342478453008918977902204295017917623204003350478450858683155607960876824016810806416786769624821511
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=34466753311020998457630093985809224389075193 (pp44)
 r2=673374543227464904583619694013355768942795706554365875033955504127 (pp66)
Version: Msieve-1.40
Total time: 4.57 hours.
Scaled time: 9.65 units (timescale=2.112).
Factorization parameters were as follows:
name: 64441_132
n: 23209034267342478453008918977902204295017917623204003350478450858683155607960876824016810806416786769624821511
m: 200000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1205001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205047 x 205295
Total sieving time: 4.22 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 4.57 hours.
 --------- CPU info (if available) ----------

1336646634212199628172054116219545703948108311669051107140593065931122376318243861956011152390469522275355700445792232258809119<127>

271751257225613675644169237643916573741484702123<48>
4918640111763998771075163673454473204834564360412556035749135411931945947164253<79>

Number: 64441_134
N=1336646634212199628172054116219545703948108311669051107140593065931122376318243861956011152390469522275355700445792232258809119
  ( 127 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=271751257225613675644169237643916573741484702123 (pp48)
 r2=4918640111763998771075163673454473204834564360412556035749135411931945947164253 (pp79)
Version: Msieve-1.40
Total time: 5.11 hours.
Scaled time: 10.66 units (timescale=2.085).
Factorization parameters were as follows:
name: 64441_134
n: 1336646634212199628172054116219545703948108311669051107140593065931122376318243861956011152390469522275355700445792232258809119
m: 1000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1335001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204143 x 204372
Total sieving time: 4.89 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 5.11 hours.
 --------- CPU info (if available) ----------

4453673404518767477016279696608870096235646732603416366253344277217826059089646595306167583295118784631<103>

633355274586104563509265411646604936091<39>
7031872289102237803989792955009556850261052778421728047172153941<64>

Number: 64441_136
N=4453673404518767477016279696608870096235646732603416366253344277217826059089646595306167583295118784631
  ( 103 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=633355274586104563509265411646604936091 (pp39)
 r2=7031872289102237803989792955009556850261052778421728047172153941 (pp64)
Version: Msieve-1.40
Total time: 6.33 hours.
Scaled time: 13.23 units (timescale=2.092).
Factorization parameters were as follows:
name: 64441_136
n: 4453673404518767477016279696608870096235646732603416366253344277217826059089646595306167583295118784631
m: 2000000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1540001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221217 x 221449
Total sieving time: 6.01 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,75000
total time: 6.33 hours.
 --------- CPU info (if available) ----------

7492312532103105949786185547559062061162821631251861694339200059483794392807555650992115878275808584900967323428573672574393851570649<133>

30526319028262238359498114223427853590308640702586934246165653<62>
245437798286995703352529829459865094652787031237088609961669260962599733<72>

Number: 64441_139
N=7492312532103105949786185547559062061162821631251861694339200059483794392807555650992115878275808584900967323428573672574393851570649
  ( 133 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=30526319028262238359498114223427853590308640702586934246165653 (pp62)
 r2=245437798286995703352529829459865094652787031237088609961669260962599733 (pp72)
Version: Msieve-1.40
Total time: 7.19 hours.
Scaled time: 18.43 units (timescale=2.564).
Factorization parameters were as follows:
name: 64441_139
n: 7492312532103105949786185547559062061162821631251861694339200059483794392807555650992115878275808584900967323428573672574393851570649
m: 10000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 254885 x 255133
Total sieving time: 7.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 7.19 hours.
 --------- CPU info (if available) ----------

1337340308640589620461913848808391038150893661277969899138772830138477829834862994727105090713233954169870052955561019646391117869<130>

1527327053387300561922655200517536151<37>
875608341824785328181448860447816700700338797768291942567678323978198356949700451593224781019<93>

Number: 64441_142
N=1337340308640589620461913848808391038150893661277969899138772830138477829834862994727105090713233954169870052955561019646391117869
  ( 130 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1527327053387300561922655200517536151
 r2=875608341824785328181448860447816700700338797768291942567678323978198356949700451593224781019
Version: 
Total time: 5.36 hours.
Scaled time: 12.80 units (timescale=2.390).
Factorization parameters were as follows:
n: 1337340308640589620461913848808391038150893661277969899138772830138477829834862994727105090713233954169870052955561019646391117869
m: 20000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4659016
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353852 x 354100
Total sieving time: 4.60 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000
total time: 5.36 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3450267663437097158942528653580634242478862649008434714689633551830456226513641347055880654051774240658549019677828282557885675975845746861<139>

342602696066354823193997798573370772650604826459<48>
10070754559295277760249566975349829558487644575316533280632068011095277845540303297091747479<92>

Number: n
N=3450267663437097158942528653580634242478862649008434714689633551830456226513641347055880654051774240658549019677828282557885675975845746861
  ( 139 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=342602696066354823193997798573370772650604826459 (pp48)
 r2=10070754559295277760249566975349829558487644575316533280632068011095277845540303297091747479 (pp92)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 9.29 hours.
Scaled time: 24.72 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_4_142_1
n: 3450267663437097158942528653580634242478862649008434714689633551830456226513641347055880654051774240658549019677828282557885675975845746861
m: 50000000000000000000000000000
deg: 5
c5: 464
c0: -775
skew: 1.11
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [960000, 2560001)
Primes: RFBsize:143414, AFBsize:143328, largePrimes:7362448 encountered
Relations: rels:6792022, finalFF:324534
Max relations in full relation-set: 28
Initial matrix: 286809 x 324534 with sparse part having weight 33806415.
Pruned matrix : 273676 x 275174 with weight 26500476.
Total sieving time: 8.45 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.31 hours.
Total square root time: 0.36 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1920000,1920000,28,28,56,56,2.3,2.3,100000
total time: 9.29 hours.
 --------- CPU info (if available) ----------

2959807037070370077701588675503483600950004631059528994363964170551323205253630464699789086748024196236570518498067476640101738676115451773<139>

1676223678292203960049128169722890860607910437181707<52>
1765758994698086055170520278368619003216331480155940049496103700209244596464918718463639<88>

Number: n
N=2959807037070370077701588675503483600950004631059528994363964170551323205253630464699789086748024196236570518498067476640101738676115451773
  ( 139 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=1676223678292203960049128169722890860607910437181707 (pp52)
 r2=1765758994698086055170520278368619003216331480155940049496103700209244596464918718463639 (pp88)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 12.28 hours.
Scaled time: 32.52 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_4_146_1
n: 2959807037070370077701588675503483600950004631059528994363964170551323205253630464699789086748024196236570518498067476640101738676115451773
m: 200000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1100000, 3200001)
Primes: RFBsize:162662, AFBsize:163211, largePrimes:8173952 encountered
Relations: rels:7706656, finalFF:392959
Max relations in full relation-set: 28
Initial matrix: 325940 x 392959 with sparse part having weight 44229416.
Pruned matrix : 301299 x 302992 with weight 32110514.
Total sieving time: 11.27 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.42 hours.
Total square root time: 0.44 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,56,56,2.3,2.3,100000
total time: 12.28 hours.
 --------- CPU info (if available) ----------

12536432122867372519200253053164652442871301443065502726646145676657703651611969289789345370155994930176926330039557577<119>

29094058807903755108349233484470242778633421481941<50>
430893200761032977032832794015273047754856060570037729587831660047397<69>

Number: n
N=12536432122867372519200253053164652442871301443065502726646145676657703651611969289789345370155994930176926330039557577
  ( 119 digits)
SNFS difficulty: 154 digits.
Divisors found:

Wed Jun 17 16:40:36 2009  prp50 factor: 29094058807903755108349233484470242778633421481941
Wed Jun 17 16:40:36 2009  prp69 factor: 430893200761032977032832794015273047754856060570037729587831660047397
Wed Jun 17 16:40:36 2009  elapsed time 00:30:16 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 15.52 hours.
Scaled time: 41.27 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_4_151_1
n: 12536432122867372519200253053164652442871301443065502726646145676657703651611969289789345370155994930176926330039557577
m: 2000000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1300000, 2305363)
Primes: RFBsize:189880, AFBsize:190566, largePrimes:11573313 encountered
Relations: rels:10680437, finalFF:303015
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 939344 hash collisions in 11511210 relations
Msieve: matrix is 472487 x 472735 (126.7 MB)

Total sieving time: 15.33 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,28,28,56,56,2.4,2.4,100000
total time: 15.52 hours.
 --------- CPU info (if available) ----------

135279302517329798555025774871892764507712533727343188426012269005859259034731526227526481196165806601223053551<111>

17078280205792035788335884856822731960474470615281<50>
7921131453941733646557818615716638624170555497980778464200671<61>

Number: 64441_153
N=135279302517329798555025774871892764507712533727343188426012269005859259034731526227526481196165806601223053551
  ( 111 digits)
Divisors found:
 r1=17078280205792035788335884856822731960474470615281
 r2=7921131453941733646557818615716638624170555497980778464200671
Version: 
Total time: 10.01 hours.
Scaled time: 23.92 units (timescale=2.390).
Factorization parameters were as follows:
name: 64441_153
n: 135279302517329798555025774871892764507712533727343188426012269005859259034731526227526481196165806601223053551
skew: 23605.40
# norm 1.03e+15
c5: 22800
c4: 2606101498
c3: -45023322297711
c2: -1636176262836888459
c1: 13673763986598234398219
c0: -27225391059235964049208347
# alpha -5.58
Y1: 181355987777
Y0: -1427769303683968481770
# Murphy_E 9.32e-10
# M 81165317231035287838596792647390099905123823365903785899096838405611340060018680107531939427877027642720548542
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8141639
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 387419 x 387667
Polynomial selection time: 0.76 hours.
Total sieving time: 8.27 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 10.01 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

67343369134565438844901431185162974421508417199500632120324380433626581713504247852334181996419224033954426575162507<116>

37727530996966089900393367642062277<35>
1174640614178015563795193560615453921<37>
1519607549694666831724736274979975973591058671<46>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 67343369134565438844901431185162974421508417199500632120324380433626581713504247852334181996419224033954426575162507 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3241163861
Step 1 took 4758ms
Step 2 took 4056ms
********** Factor found in step 2: 37727530996966089900393367642062277
Found probable prime factor of 35 digits: 37727530996966089900393367642062277
Composite cofactor 1784992745482892754448907629357284460115231211814851591365797111193768269607998991 has 82 digits
Wed Jun 10 20:58:37 2009  
Wed Jun 10 20:58:37 2009  
Wed Jun 10 20:58:37 2009  Msieve v. 1.39
Wed Jun 10 20:58:37 2009  random seeds: 09b54ec4 e4f52600
Wed Jun 10 20:58:37 2009  factoring 1784992745482892754448907629357284460115231211814851591365797111193768269607998991 (82 digits)
Wed Jun 10 20:58:38 2009  searching for 15-digit factors
Wed Jun 10 20:58:39 2009  commencing quadratic sieve (82-digit input)
Wed Jun 10 20:58:39 2009  using multiplier of 2
Wed Jun 10 20:58:39 2009  using VC8 32kb sieve core
Wed Jun 10 20:58:39 2009  sieve interval: 12 blocks of size 32768
Wed Jun 10 20:58:39 2009  processing polynomials in batches of 17
Wed Jun 10 20:58:39 2009  using a sieve bound of 1334353 (51039 primes)
Wed Jun 10 20:58:39 2009  using large prime bound of 126763535 (26 bits)
Wed Jun 10 20:58:39 2009  using trial factoring cutoff of 27 bits
Wed Jun 10 20:58:39 2009  polynomial 'A' values have 10 factors
Wed Jun 10 21:12:23 2009  51267 relations (26158 full + 25109 combined from 276608 partial), need 51135
Wed Jun 10 21:12:26 2009  begin with 302766 relations
Wed Jun 10 21:12:26 2009  reduce to 73151 relations in 2 passes
Wed Jun 10 21:12:26 2009  attempting to read 73151 relations
Wed Jun 10 21:12:26 2009  recovered 73151 relations
Wed Jun 10 21:12:26 2009  recovered 63902 polynomials
Wed Jun 10 21:12:26 2009  attempting to build 51267 cycles
Wed Jun 10 21:12:26 2009  found 51267 cycles in 1 passes
Wed Jun 10 21:12:26 2009  distribution of cycle lengths:
Wed Jun 10 21:12:26 2009     length 1 : 26158
Wed Jun 10 21:12:26 2009     length 2 : 25109
Wed Jun 10 21:12:26 2009  largest cycle: 2 relations
Wed Jun 10 21:12:26 2009  matrix is 51039 x 51267 (7.7 MB) with weight 1598396 (31.18/col)
Wed Jun 10 21:12:26 2009  sparse part has weight 1598396 (31.18/col)
Wed Jun 10 21:12:27 2009  filtering completed in 4 passes
Wed Jun 10 21:12:27 2009  matrix is 36342 x 36406 (6.0 MB) with weight 1273006 (34.97/col)
Wed Jun 10 21:12:27 2009  sparse part has weight 1273006 (34.97/col)
Wed Jun 10 21:12:27 2009  saving the first 48 matrix rows for later
Wed Jun 10 21:12:27 2009  matrix is 36294 x 36406 (4.5 MB) with weight 1009038 (27.72/col)
Wed Jun 10 21:12:27 2009  sparse part has weight 825277 (22.67/col)
Wed Jun 10 21:12:27 2009  matrix includes 64 packed rows
Wed Jun 10 21:12:27 2009  using block size 14562 for processor cache size 4096 kB
Wed Jun 10 21:12:27 2009  commencing Lanczos iteration
Wed Jun 10 21:12:27 2009  memory use: 4.3 MB
Wed Jun 10 21:12:31 2009  lanczos halted after 576 iterations (dim = 36292)
Wed Jun 10 21:12:31 2009  recovered 17 nontrivial dependencies
Wed Jun 10 21:12:31 2009  prp37 factor: 1174640614178015563795193560615453921
Wed Jun 10 21:12:31 2009  prp46 factor: 1519607549694666831724736274979975973591058671
Wed Jun 10 21:12:31 2009  elapsed time 00:13:54

GMP-ECM 6.2.3 / Msieve v1.39

Core 2 Quad Q6600

3290739008831356339219803947719937682395452958069035022616313113583137251250683536978098961627564466067632336829533503848993054608278016739537539771<148>

209900031606919638060250968011950579085083<42>
15677648943826422381981429129925161545478792495477603112103677976852749787973098495048186703923564765299937<107>

Number: 64441_159
N=3290739008831356339219803947719937682395452958069035022616313113583137251250683536978098961627564466067632336829533503848993054608278016739537539771
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=209900031606919638060250968011950579085083 (pp42)
 r2=15677648943826422381981429129925161545478792495477603112103677976852749787973098495048186703923564765299937 (pp107)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 63.25 hours.
Scaled time: 162.17 units (timescale=2.564).
Factorization parameters were as follows:
name: 64441_159
n: 3290739008831356339219803947719937682395452958069035022616313113583137251250683536978098961627564466067632336829533503848993054608278016739537539771
m: 100000000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1200000, 3700001)
Primes: RFBsize:176302, AFBsize:176834, largePrimes:9998293 encountered
Relations: rels:11718185, finalFF:504709
Max relations in full relation-set: 28
Initial matrix: 353201 x 504709 with sparse part having weight 72785254.
Pruned matrix : 312059 x 313889 with weight 49222426.
Total sieving time: 61.84 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,51,51,2.4,2.4,100000
total time: 63.25 hours.
 --------- CPU info (if available) ----------

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

1374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389<160>

4093134095623509822924789862483442313088777192093517929121<58>
335704117919347485954227762146677853991802972588438738421183653051486156771646723097088789614286700309<102>

N=1374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389
  ( 160 digits)
SNFS difficulty: 163 digits.
Divisors found:
r1=4093134095623509822924789862483442313088777192093517929121 (pp58)
r2=335704117919347485954227762146677853991802972588438738421183653051486156771646723097088789614286700309 (pp102)
Version: Msieve v. 1.41
Total time: 34.54 hours.
Scaled time: 68.66 units (timescale=1.988).
Factorization parameters were as follows:
n: 1374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389
m: 200000000000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 703581 x 703829
Total sieving time: 33.57 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 34.54 hours.
 --------- CPU info (if available) ----------

ggnfs/msieve 1.41

1469451550397554580732676837059180360646094335779406648161528362300117656219537283085352644318514476025995697119786087<118>

24954118155618919079580333638817425652891937701291029<53>
58886134193713359403521657026257990804220556027035516543340997003<65>

Number: n
N=1469451550397554580732676837059180360646094335779406648161528362300117656219537283085352644318514476025995697119786087
  ( 118 digits)
Divisors found:

Thu Jun 18 14:54:49 2009  prp53 factor: 24954118155618919079580333638817425652891937701291029
Thu Jun 18 14:54:49 2009  prp65 factor: 58886134193713359403521657026257990804220556027035516543340997003
Thu Jun 18 14:54:49 2009  elapsed time 00:47:19 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 26.24 hours.
Scaled time: 69.80 units (timescale=2.660).
Factorization parameters were as follows:
n: 1469451550397554580732676837059180360646094335779406648161528362300117656219537283085352644318514476025995697119786087
Y0: -46893879102853055658803
Y1:  3141268982191
c0: -3760144619058917366194126238400
c1:  68800418075202982299435180
c2:  44964992749753915636
c3: -1417804088061757
c4: -118330278
c5:  6480
skew: 268641.15
type: gnfs
name: KA_6_4_161_1
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3700000)
Primes: RFBsize:315948, AFBsize:316236, largePrimes:14559686 encountered
Relations: rels:13791475, finalFF:805925
Max relations in full relation-set: 28
Initial matrix: 632261 x 805925 with sparse part having weight 75126954.
Pruned matrix : 490038 x 493263 with weight 46026915.

Msieve: found 1187436 hash collisions in 14695534 relations
Msieve: matrix is 563385 x 563633 (154.8 MB)

Total sieving time: 25.17 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 0.41 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 26.24 hours.
 --------- CPU info (if available) ----------

2874581630954926886366006749075315610256412391927783472310441356774211437870002675615548024544290655760604700022476245778865872549734942346844263<145>

2153842407797207605842854513620151<34>
1334629507037536053292771611266454391010528184018975178657665649995918628661229565400499790650495782091540687313<112>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3471677956
Step 1 took 9761ms
Step 2 took 9648ms
********** Factor found in step 2: 2153842407797207605842854513620151
Found probable prime factor of 34 digits: 2153842407797207605842854513620151
Probable prime cofactor has 112 digits

GMP-ECM 6.2.3

191303484973767908831484385073305410609307331952420749269253261812451372451202115512906550164548598382034855111281939724339195680624834936274137697865471<153>

278920477089003851435716097376075149113<39>
685871066084268679784539153202401450105862248666859370968796776773667518547705937015346850643694246601536809957367<114>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 191303484973767908831484385073305410609307331952420749269253261812451372451202115512906550164548598382034855111281939724339195680624834936274137697865471 (153 digits)
Using B1=2144000, B2=2854157680, polynomial Dickson(6), sigma=333789588
Step 1 took 32822ms
Step 2 took 10920ms
********** Factor found in step 2: 278920477089003851435716097376075149113
Found probable prime factor of 39 digits: 278920477089003851435716097376075149113
Probable prime cofactor 685871066084268679784539153202401450105862248666859370968796776773667518547705937015346850643694246601536809957367 has 114 digits

13135546117328753501423666515409815427710732848545414983081187338314684998812020480051106583513231610413546102918990665559351<125>

36034728933765103515768049208221872190779947<44>
364524626825221980305319507663534157249009284349617294059232336100323699966871333<81>

Number: 64441_169
N=13135546117328753501423666515409815427710732848545414983081187338314684998812020480051106583513231610413546102918990665559351
  ( 125 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=36034728933765103515768049208221872190779947 (pp44)
 r2=364524626825221980305319507663534157249009284349617294059232336100323699966871333 (pp81)
Version: Msieve-1.40
Total time: 93.24 hours.
Scaled time: 193.10 units (timescale=2.071).
Factorization parameters were as follows:
name: 64441_169
n: 13135546117328753501423666515409815427710732848545414983081187338314684998812020480051106583513231610413546102918990665559351
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984133 x 984381
Total sieving time: 88.91 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 93.24 hours.
 --------- CPU info (if available) ----------

126860047675128132169603270822647353763372688138270885678320514382587885062124855513027762727451661980145945623709000564831<123>

27416182426948821032662997588959<32>
6011521421939298650741516574098777995571<40>
769721273997214419353641424757016755761153869254779<51>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 126860047675128132169603270822647353763372688138270885678320514382587885062124855513027762727451661980145945623709000564831 (123 digits)
Using B1=1126000, B2=1426247560, polynomial Dickson(6), sigma=549957117
Step 1 took 12526ms
Step 2 took 5538ms
********** Factor found in step 2: 27416182426948821032662997588959
Found probable prime factor of 32 digits: 27416182426948821032662997588959
Composite cofactor 4627195927556662930387117089244536456548756868507521993484225731016745702838244073132583809 has 91 digits


Fri Jun 12 03:07:29 2009  
Fri Jun 12 03:07:29 2009  
Fri Jun 12 03:07:29 2009  Msieve v. 1.39
Fri Jun 12 03:07:29 2009  random seeds: 9fa1bc80 84361ee3
Fri Jun 12 03:07:29 2009  factoring 4627195927556662930387117089244536456548756868507521993484225731016745702838244073132583809 (91 digits)
Fri Jun 12 03:07:29 2009  searching for 15-digit factors
Fri Jun 12 03:07:30 2009  commencing quadratic sieve (91-digit input)
Fri Jun 12 03:07:31 2009  using multiplier of 1
Fri Jun 12 03:07:31 2009  using 32kb Intel Core sieve core
Fri Jun 12 03:07:31 2009  sieve interval: 36 blocks of size 32768
Fri Jun 12 03:07:31 2009  processing polynomials in batches of 6
Fri Jun 12 03:07:31 2009  using a sieve bound of 1719863 (64638 primes)
Fri Jun 12 03:07:31 2009  using large prime bound of 165106848 (27 bits)
Fri Jun 12 03:07:31 2009  using double large prime bound of 619408411789728 (42-50 bits)
Fri Jun 12 03:07:31 2009  using trial factoring cutoff of 50 bits
Fri Jun 12 03:07:31 2009  polynomial 'A' values have 12 factors
Fri Jun 12 03:55:07 2009  65166 relations (17594 full + 47572 combined from 752863 partial), need 64734
Fri Jun 12 03:55:07 2009  begin with 770457 relations
Fri Jun 12 03:55:07 2009  reduce to 158313 relations in 10 passes
Fri Jun 12 03:55:08 2009  attempting to read 158313 relations
Fri Jun 12 03:55:09 2009  recovered 158313 relations
Fri Jun 12 03:55:09 2009  recovered 131545 polynomials
Fri Jun 12 03:55:09 2009  attempting to build 65166 cycles
Fri Jun 12 03:55:09 2009  found 65166 cycles in 6 passes
Fri Jun 12 03:55:09 2009  distribution of cycle lengths:
Fri Jun 12 03:55:09 2009     length 1 : 17594
Fri Jun 12 03:55:09 2009     length 2 : 12629
Fri Jun 12 03:55:09 2009     length 3 : 11508
Fri Jun 12 03:55:09 2009     length 4 : 8635
Fri Jun 12 03:55:09 2009     length 5 : 6203
Fri Jun 12 03:55:09 2009     length 6 : 3787
Fri Jun 12 03:55:09 2009     length 7 : 2250
Fri Jun 12 03:55:09 2009     length 9+: 2560
Fri Jun 12 03:55:09 2009  largest cycle: 20 relations
Fri Jun 12 03:55:09 2009  matrix is 64638 x 65166 (15.7 MB) with weight 3857023 (59.19/col)
Fri Jun 12 03:55:09 2009  sparse part has weight 3857023 (59.19/col)
Fri Jun 12 03:55:09 2009  filtering completed in 3 passes
Fri Jun 12 03:55:09 2009  matrix is 59917 x 59981 (14.5 MB) with weight 3559319 (59.34/col)
Fri Jun 12 03:55:09 2009  sparse part has weight 3559319 (59.34/col)
Fri Jun 12 03:55:09 2009  saving the first 48 matrix rows for later
Fri Jun 12 03:55:09 2009  matrix is 59869 x 59981 (9.0 MB) with weight 2774733 (46.26/col)
Fri Jun 12 03:55:09 2009  sparse part has weight 2007036 (33.46/col)
Fri Jun 12 03:55:09 2009  matrix includes 64 packed rows
Fri Jun 12 03:55:09 2009  using block size 23992 for processor cache size 6144 kB
Fri Jun 12 03:55:10 2009  commencing Lanczos iteration
Fri Jun 12 03:55:10 2009  memory use: 8.9 MB
Fri Jun 12 03:55:22 2009  lanczos halted after 949 iterations (dim = 59869)
Fri Jun 12 03:55:22 2009  recovered 17 nontrivial dependencies
Fri Jun 12 03:55:23 2009  prp40 factor: 6011521421939298650741516574098777995571
Fri Jun 12 03:55:23 2009  prp51 factor: 769721273997214419353641424757016755761153869254779
Fri Jun 12 03:55:23 2009  elapsed time 00:47:54

15290452386363939446525848048541105999225523296178280103094019270493344440033228019525273934498184829930241610767876967583025349943732440179203332172996263714952183<164>

152397504383392681380161331359317911517374557<45>
100332695395700957993833618354525485896082262537839241810909027600644295331161884483270160049035739884288720424176670819<120>

Number: 64441_171
N=15290452386363939446525848048541105999225523296178280103094019270493344440033228019525273934498184829930241610767876967583025349943732440179203332172996263714952183
  ( 164 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=152397504383392681380161331359317911517374557 (pp45)
 r2=100332695395700957993833618354525485896082262537839241810909027600644295331161884483270160049035739884288720424176670819 (pp120)
Version: Msieve-1.40
Total time: 101.26 hours.
Scaled time: 257.59 units (timescale=2.544).
Factorization parameters were as follows:
name: 64441_171
n: 15290452386363939446525848048541105999225523296178280103094019270493344440033228019525273934498184829930241610767876967583025349943732440179203332172996263714952183
m: 20000000000000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
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, 6950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1067207 x 1067455
Total sieving time: 101.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 101.26 hours.
 --------- CPU info (if available) ----------

4589361028702920399805711594247925927718250761973469099858784342783424252977537814598297905914338911400846931684460461245752456034671923153229789295463220704096117<163>

7434039565736917357902408688727950296148541622746377622861130440219054119<73>
617344175817281752770171093631930863567548241523686189857572426999876286631986362431351043<90>

Number: 64441_172
N=4589361028702920399805711594247925927718250761973469099858784342783424252977537814598297905914338911400846931684460461245752456034671923153229789295463220704096117
  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=7434039565736917357902408688727950296148541622746377622861130440219054119 (pp73)
 r2=617344175817281752770171093631930863567548241523686189857572426999876286631986362431351043 (pp90)
Version: Msieve-1.40
Total time: 92.31 hours.
Scaled time: 160.53 units (timescale=1.739).
Factorization parameters were as follows:
n: 4589361028702920399805711594247925927718250761973469099858784342783424252977537814598297905914338911400846931684460461245752456034671923153229789295463220704096117
m: 20000000000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1134846 x 1135078
Total sieving time: 90.32 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.73 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 92.31 hours.

GGNFS, Msieve

1195889777350299605771289107018392405410588807124263934343162265572375663837663946874692414404316491260057477983979093<118>

3252686432044830575611644891450269629<37>
367662177813584306398113689094894372531220364516609385149063751165849999660842617<81>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1195889777350299605771289107018392405410588807124263934343162265572375663837663946874692414404316491260057477983979093 (118 digits)
Using B1=4518000, B2=8562077170, polynomial Dickson(6), sigma=2004421685
Step 1 took 50653ms
Step 2 took 14851ms
********** Factor found in step 2: 3252686432044830575611644891450269629
Found probable prime factor of 37 digits: 3252686432044830575611644891450269629
Probable prime cofactor 367662177813584306398113689094894372531220364516609385149063751165849999660842617 has 81 digits

152306823878289245857758633117356354500598766874524111727549890902557939031575198963870011879199052678143170571<111>

454908773934063966445433989859<30>
334807400088451839410571141352346615537487208329487130708430760155293207884291769<81>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3320324933
Step 1 took 5604ms
Step 2 took 6120ms
********** Factor found in step 2: 454908773934063966445433989859
Found probable prime factor of 30 digits: 454908773934063966445433989859
Probable prime cofactor has 81 digits

GMP-ECM 6.2.3

139785628709190419573524116465890343609100680049349253074883503923756109369504683895789797375858964658967118317595391618749851<126>

358072167863151707431428193307353080469<39>
390383954003969940286270096382539177530225312863374321521478772945307454339748084071279<87>

N = 139785628709190419573524116465890343609100680049349253074883503923756109369504683895789797375858964658967118317595391618749851 (126 digits)
Divisors found:
r1=358072167863151707431428193307353080469 (pp39)
r2=390383954003969940286270096382539177530225312863374321521478772945307454339748084071279 (pp87)
Version: Msieve v. 1.48
Total time: 26.27 hours.
Factorization parameters were as follows:
n: 139785628709190419573524116465890343609100680049349253074883503923756109369504683895789797375858964658967118317595391618749851
Y0: -3194788217729299908356239
Y1: 18925597303087
c0: 70534980944488039055828457994848
c1: -723141055488609752972123544
c2: -506098636752045728732
c3: -1614065832417361
c4: 467434294
c5: 420
skew: 1288524.47
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18354218
Relations: 2016670 relations
Pruned matrix : 1122730 x 1122958
Polynomial selection time: 0.00 hours.
Total sieving time: 24.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.56 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 26.27 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

16005050006678342653495029114923650025897458731860040773541135041995524662934167150817481698991625615273107756846624508143796663312414650366256040029<149>

15760309062369653259657044097511<32>
1015528943204105616882829519823718893580572556570303575730382698748439447747013081058056037752739634733914242599226139<118>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1343471373
Step 1 took 8065ms
Step 2 took 7684ms
********** Factor found in step 2: 15760309062369653259657044097511
Found probable prime factor of 32 digits: 15760309062369653259657044097511
Probable prime cofactor has 118 digits

GMP-ECM 6.2.3

6534187202637926070977011335286639832751476707617588127846702355415335412040097979207716015193002117644675346472175753413639928999078596594288519691449159890094923<163>

486457293377916140674068725043780727923619717<45>
13432190845089631220727078693075864604429521790509237913840352780394857400167770418801267159327971656372023742054475919<119>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1183907060
Step 1 took 119863ms
Step 2 took 57603ms
********** Factor found in step 2: 486457293377916140674068725043780727923619717
Found probable prime factor of 45 digits: 486457293377916140674068725043780727923619717
Probable prime cofactor 13432190845089631220727078693075864604429521790509237913840352780394857400167770418801267159327971656372023742054475919 has 119 digits

GMP-ECM 6.3 [config GMP 5.0.2] [ECM]

PPC G5, 2.5 GHz, Mac OS X

66955370331229241545379178534078604912710038494957455675668457209662940068551810568956636428668940897787062075182212694502916070683854188314504072601584347011060047701<167>

1512470197454139220244103678709699205874234580555004727576875020613138491<73>
44268885723455352358162090285368431080996961997472203549458582454514226438510814672120253947311<95>

Number: 64441_183
N=66955370331229241545379178534078604912710038494957455675668457209662940068551810568956636428668940897787062075182212694502916070683854188314504072601584347011060047701
  ( 167 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1512470197454139220244103678709699205874234580555004727576875020613138491
 r2=44268885723455352358162090285368431080996961997472203549458582454514226438510814672120253947311
Version: 
Total time: 89.16 hours.
Scaled time: 468.36 units (timescale=5.253).
Factorization parameters were as follows:
n: 66955370331229241545379178534078604912710038494957455675668457209662940068551810568956636428668940897787062075182212694502916070683854188314504072601584347011060047701
m: 2000000000000000000000000000000000000
deg: 5
c5: 3625
c0: -62
skew: 0.44
# Murphy_E = 4.703e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20654899
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1706984 x 1707231
Total sieving time: 82.92 hours.
Total relation processing time: 2.22 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 89.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

3400152536154857180854877406800099081012829858185804128508865412670073401260509121810645754749123578967052791423041621347421477240370056443009251372929318619775094616049539<172>

128560755722324024215545788074592683154504783605841<51>
26447826298553993846175013737107937479329404322849361173454027687363779476326490874884533789576426621453963127894829644179<122>

Number: n
N=3400152536154857180854877406800099081012829858185804128508865412670073401260509121810645754749123578967052791423041621347421477240370056443009251372929318619775094616049539
  ( 172 digits)
SNFS difficulty: 185 digits.
Divisors found:

Wed Feb 29 06:12:16 2012  prp51 factor: 128560755722324024215545788074592683154504783605841
Wed Feb 29 06:12:16 2012  prp122 factor: 26447826298553993846175013737107937479329404322849361173454027687363779476326490874884533789576426621453963127894829644179
Wed Feb 29 06:12:16 2012  elapsed time 03:20:30 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_64441_184
n: 3400152536154857180854877406800099081012829858185804128508865412670073401260509121810645754749123578967052791423041621347421477240370056443009251372929318619775094616049539
m: 2000000000000000000000000000000000000
#  c172, diff: 185.76
skew: 0.28
deg: 5
c5: 18125
c0: -31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7008834 hash collisions in 74777878 relations (70205456 unique)
Msieve: matrix is 1228989 x 1229219 (344.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

898313685070252944669200747309818574664667489385396558219749656551407226748884510734115094441996795207383240673213752439272268345836362898172253634385465007399326962230309266391<177>

97341357309884000722349620845093036439<38>
133056904660156286504888362523432946094417<42>
143376546753400674746813695339569537743810197<45>
483743436992681620621977652854351784528461912751683181<54>

N=898313685070252944669200747309818574664667489385396558219749656551407226748884510734115094441996795207383240673213752439272268345836362898172253634385465007399326962230309266391
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=97341357309884000722349620845093036439 (pp38)
 r2=133056904660156286504888362523432946094417 (pp42)
 r3=143376546753400674746813695339569537743810197 (pp45)
 r4=483743436992681620621977652854351784528461912751683181 (pp54)
Version: Msieve v. 1.48
Total time:
Scaled time: 17.63 units (timescale=0.539).
Factorization parameters were as follows:
n: 898313685070252944669200747309818574664667489385396558219749656551407226748884510734115094441996795207383240673213752439272268345836362898172253634385465007399326962230309266391
m: 10000000000000000000000000000000000000
deg: 5
c5: 58
c0: -31
skew: 0.88
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
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, 12550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1762427 x 1762657
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:.

22113951211979854107160122885985290275654934103349112331896895130686193201312757393745323075894017126494921331912065566610543901969<131>

1270446665283651498733550595524847418439009485711<49>
17406438079037731078957435059324862561167866886627808194117029604319427320885142879<83>

Number: 64441_186
N = 22113951211979854107160122885985290275654934103349112331896895130686193201312757393745323075894017126494921331912065566610543901969 (131 digits)
Divisors found:
r1=1270446665283651498733550595524847418439009485711 (pp49)
r2=17406438079037731078957435059324862561167866886627808194117029604319427320885142879 (pp83)
Version: Msieve v. 1.47
Total time: 159.13 hours.
Factorization parameters were as follows:
# Murphy_E = 7.323051e-11, selected by Jeff Gilchrist
n: 22113951211979854107160122885985290275654934103349112331896895130686193201312757393745323075894017126494921331912065566610543901969
Y0: -14401249159019143922823168
Y1: 242757374405149
c0: 121420639664537543585544559309685
c1: 3124184090435156482186808611
c2: 6787826409355043570457
c3: -76391808897648373
c4: -13118303660
c5: 35700
skew: 477775.37
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 10500000)
Relations: 19374936
Relations in full relation-set: 2654394 relations
Pruned matrix : 1539496 x 1539720
Polynomial selection time: 0.00 hours.
Total sieving time: 156.26 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.35 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,54,54,2.6,2.6,100000
total time: 159.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371<139>

7791177984079244727197979077258587766661775939097<49>
211256773217251452141680599234743391264029357625009612488861883174294742984043134322663643<90>

Thu Jan 26 01:23:13 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jan 26 01:23:13 2017  random seeds: 161f9b41 a10a4f40
Thu Jan 26 01:23:13 2017  factoring 1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371 (139 digits)
Thu Jan 26 01:23:13 2017  no P-1/P+1/ECM available, skipping
Thu Jan 26 01:23:13 2017  commencing number field sieve (139-digit input)
Thu Jan 26 01:23:13 2017  R0: -10000000000000000000000000000000000000
Thu Jan 26 01:23:13 2017  R1: 1
Thu Jan 26 01:23:13 2017  A0: -31
Thu Jan 26 01:23:13 2017  A1: 0
Thu Jan 26 01:23:13 2017  A2: 0
Thu Jan 26 01:23:13 2017  A3: 0
Thu Jan 26 01:23:13 2017  A4: 0
Thu Jan 26 01:23:13 2017  A5: 5800
Thu Jan 26 01:23:13 2017  skew 0.35, size 1.876e-13, alpha 0.512, combined = 3.086e-11 rroots = 1
Thu Jan 26 01:23:13 2017  
Thu Jan 26 01:23:13 2017  commencing relation filtering
Thu Jan 26 01:23:13 2017  estimated available RAM is 15929.4 MB
Thu Jan 26 01:23:13 2017  commencing duplicate removal, pass 1
Thu Jan 26 01:26:00 2017  found 3666936 hash collisions in 22771602 relations
Thu Jan 26 01:26:19 2017  added 269 free relations
Thu Jan 26 01:26:19 2017  commencing duplicate removal, pass 2
Thu Jan 26 01:26:25 2017  found 3417219 duplicates and 19354652 unique relations
Thu Jan 26 01:26:25 2017  memory use: 106.6 MB
Thu Jan 26 01:26:25 2017  reading ideals above 720000
Thu Jan 26 01:26:25 2017  commencing singleton removal, initial pass
Thu Jan 26 01:28:24 2017  memory use: 689.0 MB
Thu Jan 26 01:28:24 2017  reading all ideals from disk
Thu Jan 26 01:28:24 2017  memory use: 620.5 MB
Thu Jan 26 01:28:25 2017  keeping 21500429 ideals with weight <= 200, target excess is 116355
Thu Jan 26 01:28:26 2017  commencing in-memory singleton removal
Thu Jan 26 01:28:27 2017  begin with 19354652 relations and 21500429 unique ideals
Thu Jan 26 01:28:38 2017  reduce to 7960860 relations and 7802077 ideals in 21 passes
Thu Jan 26 01:28:38 2017  max relations containing the same ideal: 113
Thu Jan 26 01:28:40 2017  removing 213963 relations and 202057 ideals in 11906 cliques
Thu Jan 26 01:28:40 2017  commencing in-memory singleton removal
Thu Jan 26 01:28:41 2017  begin with 7746897 relations and 7802077 unique ideals
Thu Jan 26 01:28:44 2017  reduce to 7741752 relations and 7594866 ideals in 8 passes
Thu Jan 26 01:28:44 2017  max relations containing the same ideal: 112
Thu Jan 26 01:28:46 2017  removing 153456 relations and 141550 ideals in 11906 cliques
Thu Jan 26 01:28:46 2017  commencing in-memory singleton removal
Thu Jan 26 01:28:46 2017  begin with 7588296 relations and 7594866 unique ideals
Thu Jan 26 01:28:49 2017  reduce to 7585703 relations and 7450715 ideals in 7 passes
Thu Jan 26 01:28:49 2017  max relations containing the same ideal: 112
Thu Jan 26 01:28:50 2017  relations with 0 large ideals: 2934
Thu Jan 26 01:28:50 2017  relations with 1 large ideals: 833
Thu Jan 26 01:28:50 2017  relations with 2 large ideals: 15492
Thu Jan 26 01:28:50 2017  relations with 3 large ideals: 125207
Thu Jan 26 01:28:50 2017  relations with 4 large ideals: 546387
Thu Jan 26 01:28:50 2017  relations with 5 large ideals: 1392178
Thu Jan 26 01:28:50 2017  relations with 6 large ideals: 2209430
Thu Jan 26 01:28:50 2017  relations with 7+ large ideals: 3293242
Thu Jan 26 01:28:50 2017  commencing 2-way merge
Thu Jan 26 01:28:53 2017  reduce to 4441389 relation sets and 4306401 unique ideals
Thu Jan 26 01:28:53 2017  commencing full merge
Thu Jan 26 01:29:40 2017  memory use: 518.2 MB
Thu Jan 26 01:29:41 2017  found 2282982 cycles, need 2274601
Thu Jan 26 01:29:41 2017  weight of 2274601 cycles is about 159448820 (70.10/cycle)
Thu Jan 26 01:29:41 2017  distribution of cycle lengths:
Thu Jan 26 01:29:41 2017  1 relations: 348602
Thu Jan 26 01:29:41 2017  2 relations: 307483
Thu Jan 26 01:29:41 2017  3 relations: 281459
Thu Jan 26 01:29:41 2017  4 relations: 238533
Thu Jan 26 01:29:41 2017  5 relations: 201985
Thu Jan 26 01:29:41 2017  6 relations: 165387
Thu Jan 26 01:29:41 2017  7 relations: 136909
Thu Jan 26 01:29:41 2017  8 relations: 111424
Thu Jan 26 01:29:41 2017  9 relations: 90675
Thu Jan 26 01:29:41 2017  10+ relations: 392144
Thu Jan 26 01:29:41 2017  heaviest cycle: 28 relations
Thu Jan 26 01:29:41 2017  commencing cycle optimization
Thu Jan 26 01:29:44 2017  start with 12937603 relations
Thu Jan 26 01:29:55 2017  pruned 277808 relations
Thu Jan 26 01:29:56 2017  memory use: 435.7 MB
Thu Jan 26 01:29:56 2017  distribution of cycle lengths:
Thu Jan 26 01:29:56 2017  1 relations: 348602
Thu Jan 26 01:29:56 2017  2 relations: 313955
Thu Jan 26 01:29:56 2017  3 relations: 290397
Thu Jan 26 01:29:56 2017  4 relations: 242858
Thu Jan 26 01:29:56 2017  5 relations: 205001
Thu Jan 26 01:29:56 2017  6 relations: 166006
Thu Jan 26 01:29:56 2017  7 relations: 136554
Thu Jan 26 01:29:56 2017  8 relations: 109837
Thu Jan 26 01:29:56 2017  9 relations: 89003
Thu Jan 26 01:29:56 2017  10+ relations: 372388
Thu Jan 26 01:29:56 2017  heaviest cycle: 28 relations
Thu Jan 26 01:29:58 2017  RelProcTime: 405
Thu Jan 26 01:29:58 2017  elapsed time 00:06:45
Thu Jan 26 01:29:58 2017 LatSieveTime: 1173.54
Thu Jan 26 01:29:58 2017 -> Running matrix solving step ...
Thu Jan 26 01:29:58 2017 -> ./msieve -s 64441_187/64441_187.dat -l 64441_187/64441_187.log -i 64441_187/64441_187.ini -nf 64441_187/64441_187.fb -t 6 -nc2
Thu Jan 26 01:29:58 2017  
Thu Jan 26 01:29:58 2017  
Thu Jan 26 01:29:58 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jan 26 01:29:58 2017  random seeds: 3182f5ad 08ebf886
Thu Jan 26 01:29:58 2017  factoring 1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371 (139 digits)
Thu Jan 26 01:29:59 2017  no P-1/P+1/ECM available, skipping
Thu Jan 26 01:29:59 2017  commencing number field sieve (139-digit input)
Thu Jan 26 01:29:59 2017  R0: -10000000000000000000000000000000000000
Thu Jan 26 01:29:59 2017  R1: 1
Thu Jan 26 01:29:59 2017  A0: -31
Thu Jan 26 01:29:59 2017  A1: 0
Thu Jan 26 01:29:59 2017  A2: 0
Thu Jan 26 01:29:59 2017  A3: 0
Thu Jan 26 01:29:59 2017  A4: 0
Thu Jan 26 01:29:59 2017  A5: 5800
Thu Jan 26 01:29:59 2017  skew 0.35, size 1.876e-13, alpha 0.512, combined = 3.086e-11 rroots = 1
Thu Jan 26 01:29:59 2017  
Thu Jan 26 01:29:59 2017  commencing linear algebra
Thu Jan 26 01:29:59 2017  read 2274601 cycles
Thu Jan 26 01:30:02 2017  cycles contain 7398577 unique relations
Thu Jan 26 01:30:37 2017  read 7398577 relations
Thu Jan 26 01:30:42 2017  using 20 quadratic characters above 4294917295
Thu Jan 26 01:31:10 2017  building initial matrix
Thu Jan 26 01:31:54 2017  memory use: 902.9 MB
Thu Jan 26 01:31:54 2017  read 2274601 cycles
Thu Jan 26 01:31:55 2017  matrix is 2274424 x 2274601 (682.7 MB) with weight 199772732 (87.83/col)
Thu Jan 26 01:31:55 2017  sparse part has weight 153950022 (67.68/col)
Thu Jan 26 01:32:07 2017  filtering completed in 2 passes
Thu Jan 26 01:32:08 2017  matrix is 2271979 x 2272156 (682.5 MB) with weight 199688148 (87.88/col)
Thu Jan 26 01:32:08 2017  sparse part has weight 153919534 (67.74/col)
Thu Jan 26 01:32:12 2017  matrix starts at (0, 0)
Thu Jan 26 01:32:12 2017  matrix is 2271979 x 2272156 (682.5 MB) with weight 199688148 (87.88/col)
Thu Jan 26 01:32:12 2017  sparse part has weight 153919534 (67.74/col)
Thu Jan 26 01:32:12 2017  saving the first 48 matrix rows for later
Thu Jan 26 01:32:13 2017  matrix includes 64 packed rows
Thu Jan 26 01:32:13 2017  matrix is 2271931 x 2272156 (645.4 MB) with weight 159230896 (70.08/col)
Thu Jan 26 01:32:13 2017  sparse part has weight 146467328 (64.46/col)
Thu Jan 26 01:32:13 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Jan 26 01:32:18 2017  commencing Lanczos iteration (6 threads)
Thu Jan 26 01:32:18 2017  memory use: 519.8 MB
Thu Jan 26 01:32:23 2017  linear algebra at 0.1%, ETA 2h 5m
Thu Jan 26 01:32:25 2017  checkpointing every 1040000 dimensions
Thu Jan 26 03:44:33 2017  lanczos halted after 35931 iterations (dim = 2271929)
Thu Jan 26 03:44:35 2017  recovered 39 nontrivial dependencies
Thu Jan 26 03:44:35 2017  BLanczosTime: 8076
Thu Jan 26 03:44:35 2017  elapsed time 02:14:37
Thu Jan 26 03:44:35 2017 -> Running square root step ...
Thu Jan 26 03:44:35 2017 -> ./msieve -s 64441_187/64441_187.dat -l 64441_187/64441_187.log -i 64441_187/64441_187.ini -nf 64441_187/64441_187.fb -t 6 -nc3
Thu Jan 26 03:44:35 2017  
Thu Jan 26 03:44:35 2017  
Thu Jan 26 03:44:35 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jan 26 03:44:35 2017  random seeds: 783f8b5e 53d7a596
Thu Jan 26 03:44:35 2017  factoring 1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371 (139 digits)
Thu Jan 26 03:44:36 2017  no P-1/P+1/ECM available, skipping
Thu Jan 26 03:44:36 2017  commencing number field sieve (139-digit input)
Thu Jan 26 03:44:36 2017  R0: -10000000000000000000000000000000000000
Thu Jan 26 03:44:36 2017  R1: 1
Thu Jan 26 03:44:36 2017  A0: -31
Thu Jan 26 03:44:36 2017  A1: 0
Thu Jan 26 03:44:36 2017  A2: 0
Thu Jan 26 03:44:36 2017  A3: 0
Thu Jan 26 03:44:36 2017  A4: 0
Thu Jan 26 03:44:36 2017  A5: 5800
Thu Jan 26 03:44:36 2017  skew 0.35, size 1.876e-13, alpha 0.512, combined = 3.086e-11 rroots = 1
Thu Jan 26 03:44:36 2017  
Thu Jan 26 03:44:36 2017  commencing square root phase
Thu Jan 26 03:44:36 2017  reading relations for dependency 1
Thu Jan 26 03:44:36 2017  read 1136371 cycles
Thu Jan 26 03:44:37 2017  cycles contain 3699008 unique relations
Thu Jan 26 03:44:55 2017  read 3699008 relations
Thu Jan 26 03:45:05 2017  multiplying 3699008 relations
Thu Jan 26 03:46:54 2017  multiply complete, coefficients have about 127.27 million bits
Thu Jan 26 03:46:54 2017  initial square root is modulo 1365382561
Thu Jan 26 03:49:10 2017  GCD is N, no factor found
Thu Jan 26 03:49:10 2017  reading relations for dependency 2
Thu Jan 26 03:49:11 2017  read 1137267 cycles
Thu Jan 26 03:49:12 2017  cycles contain 3700198 unique relations
Thu Jan 26 03:49:29 2017  read 3700198 relations
Thu Jan 26 03:49:39 2017  multiplying 3700198 relations
Thu Jan 26 03:51:27 2017  multiply complete, coefficients have about 127.31 million bits
Thu Jan 26 03:51:27 2017  initial square root is modulo 1373672761
Thu Jan 26 03:53:42 2017  sqrtTime: 546
Thu Jan 26 03:53:42 2017  p49 factor: 7791177984079244727197979077258587766661775939097
Thu Jan 26 03:53:42 2017  p90 factor: 211256773217251452141680599234743391264029357625009612488861883174294742984043134322663643
Thu Jan 26 03:53:42 2017  elapsed time 00:09:07

GGNFS/Msieve v1.53

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

15821189338510232450358729195495488647336567199418995350398371461954268628901015403943219039975739357912404413317309150157138408386741<134>

27851355416234957710219931262472333<35>
568058146616729197426787256156526078124017948322299569993098655486669818175582047103675908213848777<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=98376821
Step 1 took 38188ms
Step 2 took 14478ms
********** Factor found in step 2: 27851355416234957710219931262472333
Found probable prime factor of 35 digits: 27851355416234957710219931262472333
Probable prime cofactor 568058146616729197426787256156526078124017948322299569993098655486669818175582047103675908213848777 has 99 digits

GMP-ECM 6.2.1

578273049888731674244309858415309667690994568212777798044681753020748959188791268927303322034540790382485579365403561750265414611065289233955777125642668139109<159>

886484510252165128647342107264447334462188155562077453164643<60>
652321662929269794226074413768240492624344245829601684253032301216084664253294393220113985835866263<99>

578273049888731674244309858415309667690994568212777798044681753020748959188791268927303322034540790382485579365403561750265414611065289233955777125642668139109=886484510252165128647342107264447334462188155562077453164643*652321662929269794226074413768240492624344245829601684253032301216084664253294393220113985835866263

cado polynomial
n: 578273049888731674244309858415309667690994568212777798044681753020748959188791268927303322034540790382485579365403561750265414611065289233955777125642668139109
skew: 0.88
type: snfs
c0: -31
c5: 58
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 58*x^5-31
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11000000
tasks.lim1 = 11000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 886484510252165128647342107264447334462188155562077453164643 652321662929269794226074413768240492624344245829601684253032301216084664253294393220113985835866263
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.76/2.02164
Info:Generate Free Relations: Total cpu/real time for freerel: 102.05/26.0622
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25665204
Info:Lattice Sieving: Average J: 1894.21 for 2219191 special-q, max bucket fill -bkmult 1.0,1s:1.079850
Info:Lattice Sieving: Total time: 531149s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.64/107.491
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 420.53/388.184
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 334.8999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 337.85/354.008
Info:Filtering - Merging: Merged matrix has 2053816 rows and total weight 352424108 (171.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 297.16/85.2499
Info:Filtering - Merging: Total cpu/real time for replay: 78.87/69.4226
Info:Linear Algebra: Total cpu/real time for bwc: 71428.3/18303.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11662.53, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64256 iterations)
Info:Linear Algebra: Lingen CPU time 423.07, WCT time 122.13
Info:Linear Algebra: Mksol: WCT time 6392.9, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32256 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 73.15/31.1767
Info:Square Root: Total cpu/real time for sqrt: 532.33/167.334
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.0581e+06/285128
Info:root: Cleaning up computation data in /tmp/cado.kw6duwqy
886484510252165128647342107264447334462188155562077453164643 652321662929269794226074413768240492624344245829601684253032301216084664253294393220113985835866263

cado-nfs-3.0.0

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)

1314785001290770472298934321786619527814641646231038568775601829517127769419119767116126376640148659470571403098198540418570255852816937297562674230964629979534713<163>

1770541029269289038530780084932643<34>
742589400389884603258631295482431688083596357183404905400519652470640154285916059816327715881828672668436296808309631220096749491<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3112700238
Step 1 took 12211ms
Step 2 took 5588ms
********** Factor found in step 2: 1770541029269289038530780084932643
Found probable prime factor of 34 digits: 1770541029269289038530780084932643
Probable prime cofactor

242271793835160970808403988313563266841833207852565393362273901192750723065779590470142894475468443507193921488886292127070945993249048002070272728810317363865448983917457336483480737<183>

230656188981425387068983217038007196596267429<45>
1050358955920627743716239790756571916719799177945018292576990828795415948697928472416936302389537090636681636202931983032243240339064383053<139>

Number: n
N=242271793835160970808403988313563266841833207852565393362273901192750723065779590470142894475468443507193921488886292127070945993249048002070272728810317363865448983917457336483480737
  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Mar 13 03:43:24 2012  prp45 factor: 230656188981425387068983217038007196596267429
Tue Mar 13 03:43:24 2012  prp139 factor: 1050358955920627743716239790756571916719799177945018292576990828795415948697928472416936302389537090636681636202931983032243240339064383053
Tue Mar 13 03:43:24 2012  elapsed time 04:28:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_64441_192
n: 242271793835160970808403988313563266841833207852565393362273901192750723065779590470142894475468443507193921488886292127070945993249048002070272728810317363865448983917457336483480737
m: 100000000000000000000000000000000000000
#  c183, diff: 193.76
skew: 0.35
deg: 5
c5: 5800
c0: -31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9735021 hash collisions in 78814737 relations (71203867 unique)
Msieve: matrix is 1541541 x 1541767 (432.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

3447322258572799225846859365525175765187006825264815341189465674853310925340908953004705455303191774074929862155347354603926684527519437304061901294132637916029<160>

14044614660892624356947860541239656222750791427070427<53>
245455097331499163212481858511981984161183136522493436987743714840809354341570184257627062098002668468763527<108>

p53 factor: 14044614660892624356947860541239656222750791427070427
p108 factor: 245455097331499163212481858511981984161183136522493436987743714840809354341570184257627062098002668468763527


Msieve v. 1.54 (SVN 1032M)
random seeds: facf2ea4 dde75867
factoring 3447322258572799225846859365525175765187006825264815341189465674853310925340908953004705455303191774074929862155347354603926684527519437304061901294132637916029 (160 digits)
searching for 15-digit factors
commencing number field sieve (160-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 29
skew 1.00, size 7.545e-14, alpha 1.174, combined = 1.678e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2265475 hash collisions in 36454592 relations
added 727450 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37182042 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: 1234.1 MB
keeping 40112160 ideals with weight <= 200, target excess is 195386
commencing in-memory singleton removal
begin with 37182042 relations and 40112160 unique ideals
reduce to 14020292 relations and 12962387 ideals in 16 passes
max relations containing the same ideal: 107
removing 2170602 relations and 1770602 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11849690 relations and 12962387 unique ideals
reduce to 11557339 relations and 10888621 ideals in 9 passes
max relations containing the same ideal: 94
removing 1756819 relations and 1356819 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9800520 relations and 10888621 unique ideals
reduce to 9564547 relations and 9287465 ideals in 9 passes
max relations containing the same ideal: 84
removing 334118 relations and 283684 ideals in 50434 cliques
commencing in-memory singleton removal
begin with 9230429 relations and 9287465 unique ideals
reduce to 9221393 relations and 8994688 ideals in 7 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 4032
relations with 1 large ideals: 7426
relations with 2 large ideals: 68310
relations with 3 large ideals: 349558
relations with 4 large ideals: 1078284
relations with 5 large ideals: 2069121
relations with 6 large ideals: 2611900
relations with 7+ large ideals: 3032762
commencing 2-way merge
reduce to 5720018 relation sets and 5493313 unique ideals
commencing full merge
memory use: 657.0 MB
found 2684468 cycles, need 2661513
weight of 2661513 cycles is about 239668475 (90.05/cycle)
distribution of cycle lengths:
1 relations: 232004
2 relations: 234515
3 relations: 242222
4 relations: 231505
5 relations: 222906
6 relations: 202997
7 relations: 187638
8 relations: 169157
9 relations: 150292
10+ relations: 788277
heaviest cycle: 27 relations
commencing cycle optimization
start with 19589757 relations
pruned 656938 relations
memory use: 577.9 MB
distribution of cycle lengths:
1 relations: 232004
2 relations: 240138
3 relations: 251418
4 relations: 239500
5 relations: 230770
6 relations: 209235
7 relations: 192933
8 relations: 172838
9 relations: 152536
10+ relations: 740141
heaviest cycle: 27 relations
RelProcTime: 743
elapsed time 00:12:25


Msieve v. 1.54 (SVN 1032M)
random seeds: 1bd503b7 3755b397
factoring 3447322258572799225846859365525175765187006825264815341189465674853310925340908953004705455303191774074929862155347354603926684527519437304061901294132637916029 (160 digits)
searching for 15-digit factors
commencing number field sieve (160-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 29
skew 1.00, size 7.545e-14, alpha 1.174, combined = 1.678e-11 rroots = 1

commencing linear algebra
read 2661513 cycles
cycles contain 9066155 unique relations
read 9066155 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1148.6 MB
read 2661513 cycles
matrix is 2661335 x 2661513 (978.3 MB) with weight 286891246 (107.79/col)
sparse part has weight 227188766 (85.36/col)
filtering completed in 2 passes
matrix is 2660615 x 2660793 (978.3 MB) with weight 286866326 (107.81/col)
sparse part has weight 227180217 (85.38/col)
matrix starts at (0, 0)
matrix is 2660615 x 2660793 (978.3 MB) with weight 286866326 (107.81/col)
sparse part has weight 227180217 (85.38/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2660567 x 2660793 (930.2 MB) with weight 235345186 (88.45/col)
sparse part has weight 217245102 (81.65/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 886.7 MB
linear algebra at 0.1%, ETA 2h25m
checkpointing every 1220000 dimensions
lanczos halted after 42072 iterations (dim = 2660564)
recovered 35 nontrivial dependencies
BLanczosTime: 7629
elapsed time 02:07:11


Msieve v. 1.54 (SVN 1032M)
random seeds: c608cc0f 7d2c310d
factoring 3447322258572799225846859365525175765187006825264815341189465674853310925340908953004705455303191774074929862155347354603926684527519437304061901294132637916029 (160 digits)
searching for 15-digit factors
commencing number field sieve (160-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 29
skew 1.00, size 7.545e-14, alpha 1.174, combined = 1.678e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1329117 cycles
cycles contain 4529976 unique relations
read 4529976 relations
multiplying 4529976 relations
multiply complete, coefficients have about 124.94 million bits
initial square root is modulo 927948181
GCD is N, no factor found
reading relations for dependency 2
read 1331290 cycles
cycles contain 4536994 unique relations
read 4536994 relations
multiplying 4536994 relations
multiply complete, coefficients have about 125.13 million bits
initial square root is modulo 958054021
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 1330684 cycles
cycles contain 4534778 unique relations
read 4534778 relations
multiplying 4534778 relations
multiply complete, coefficients have about 125.07 million bits
initial square root is modulo 947943691
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 4
read 1331050 cycles
cycles contain 4537344 unique relations
read 4537344 relations
multiplying 4537344 relations
multiply complete, coefficients have about 125.14 million bits
initial square root is modulo 959907581
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 5
read 1332458 cycles
cycles contain 4536768 unique relations
read 4536768 relations
multiplying 4536768 relations
multiply complete, coefficients have about 125.12 million bits
initial square root is modulo 956996881
sqrtTime: 1594
p53 factor: 14044614660892624356947860541239656222750791427070427
p108 factor: 245455097331499163212481858511981984161183136522493436987743714840809354341570184257627062098002668468763527
elapsed time 00:26:35

CADO-NFS/Msieve

119339495408525915193752433668177694063200767597864676491438032551608032555488259949937499272744109343579204370538946207<120>

3808947365887241518949456612924387<34>
31331358494823262828693743658366323430037124627429151340540267581059886550031789827861<86>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 119339495408525915193752433668177694063200767597864676491438032551608032555488259949937499272744109343579204370538946207 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2513972108
Step 1 took 4243ms
Step 2 took 4087ms
********** Factor found in step 2: 3808947365887241518949456612924387
Found probable prime factor of 34 digits: 3808947365887241518949456612924387
Probable prime cofactor 31331358494823262828693743658366323430037124627429151340540267581059886550031789827861 has 86 digits

Core 2 Quad Q6600

131264433854120448289768138804081880309603914776158947831372367166446945846654127292145767705359868574427737424148677158904446213798485602226625012388080944982617307346868099635227454218869457<192>

5096513647532794501083118207545671<34>
25755730864699073082591851139288692898367531568560403723880529183734319522625123361538086832200835064883598563324719178361854842928202684987796418138149494567<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3484559451
Step 1 took 23184ms
Step 2 took 9180ms
********** Factor found in step 2: 5096513647532794501083118207545671
Found probable prime factor of 34 digits: 5096513647532794501083118207545671
Probable prime cofactor 25755730864699073082591851139288692898367531568560403723880529183734319522625123361538086832200835064883598563324719178361854842928202684987796418138149494567 has 158 digits

GMP-ECM 6.2.1

1910170331784595855800455410115761182919144680219358998638500742050446179582040961008432043785050183052218865834986237253721019663689743338647406619119761602707375735240449<172>

3931542623710658018937553755913044323<37>
485857719121392613640279006713114848777812655409334166879411833920009488625621558705464762456192038065370442927192913487800514855314763<135>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2777156979
Step 1 took 8564ms
Step 2 took 6022ms
********** Factor found in step 2: 3931542623710658018937553755913044323
Found probable prime factor of 37 digits: 3931542623710658018937553755913044323
Probable prime cofactor 485857719121392613640279006713114848777812655409334166879411833920009488625621558705464762456192038065370442927192913487800514855314763 has 135 digits

GMP-ECM 6.3

1925690920209854742681286036158194119986356082953273466321463267834604423799756430528178662215370749359257159331124704689074810242934464206085412628671781<154>

32820732069202896463482250859<29>
15074769928706124885326096887799963<35>

3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893<91>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=20493131
Step 1 took 21169ms
Step 2 took 12153ms
********** Factor found in step 2: 32820732069202896463482250859
Found probable prime factor of 29 digits: 32820732069202896463482250859
Composite cofactor 58673003275780472287634994572634574048641604054410134847748708532448487386513086701796844390337941575401036937792058816822959 has 125 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1635276330
Step 1 took 17145ms
Step 2 took 9844ms
********** Factor found in step 2: 15074769928706124885326096887799963
Found probable prime factor of 35 digits: 15074769928706124885326096887799963
Composite cofactor 3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893 has 91 digits

GMP-ECM 6.3

3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893<91>

27562511792171624600243016120421357653467<41>
141211099191483726143076524111956382278189873267079<51>

Number: 64441_199
N = 3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893 (91 digits)
Divisors found:
r1=27562511792171624600243016120421357653467 (pp41)
r2=141211099191483726143076524111956382278189873267079 (pp51)
Version: Msieve v. 1.47
Total time: 0.99 hours.
Factorization parameters were as follows:
n: 3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893 
Y0: -6306853912164316438826
Y1: 532555824799
c0: -20506254156469162681009683
c1: 27140325970548991578
c2: -4486894971523
c3: 96162808
c4: 2460
skew: 399835.29
type: gnfs
rlim: 865000
alim: 865000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.4
alambda: 2.4
Factor base limits: 865000/865000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [432500, 752500)
Relations: 2995167
Relations in full relation-set: 185002 relations
Pruned matrix : 106830 x 107060
Polynomial selection time: 0.00 hours.
Total sieving time: 0.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,90,4,58,2000,0.00025,0.3,220,15,10000,600,865000,865000,26,26,46,46,2.4,2.4,40000
total time: 0.99 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

422312197876215782233986092562216996660931173158722756465453582762475725349135038434963797078608306473622184531586522861117774902190439565313278913813516359715971693<165>

646432074643177003283488166543485882439404087<45>
653297097161101126037423795675026143290033008288899514380229950821189790045425238868052189237648284717497045048749282939<120>

Number: n
N=422312197876215782233986092562216996660931173158722756465453582762475725349135038434963797078608306473622184531586522861117774902190439565313278913813516359715971693
  ( 165 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Nov 13 14:12:03 2012  prp45 factor: 646432074643177003283488166543485882439404087
Tue Nov 13 14:12:03 2012  prp120 factor: 653297097161101126037423795675026143290033008288899514380229950821189790045425238868052189237648284717497045048749282939
Tue Nov 13 14:12:03 2012  elapsed time 05:45:00 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_64441_200
n: 422312197876215782233986092562216996660931173158722756465453582762475725349135038434963797078608306473622184531586522861117774902190439565313278913813516359715971693
m: 10000000000000000000000000000000000000000
#  c165, diff: 201.76
skew: 0.882
deg: 5
c5: 58
c0: -31
# Murphy_E = 1.442e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 46050000)
Primes: RFBsize:1037119, AFBsize:1038765,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8926366 hash collisions in 69561315 relations (62310963 unique)
Msieve: matrix is 1913940 x 1914168 (539.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

162499894867413787121545727982374739407747518428390074262849523894932552101125149254828287185720828206103045051373985137058151754568095835267324862485915553431797<162>

16309268231303726423986752671428793350289<41>

9963653338873555885113579897855485527298505516029004116234078358546040653307190928778092498864147734525880680589652366373<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3053460787
Step 1 took 12152ms
Step 2 took 5590ms
********** Factor found in step 2: 16309268231303726423986752671428793350289
Found probable prime factor of 41 digits: 16309268231303726423986752671428793350289
Composite cofactor 

9963653338873555885113579897855485527298505516029004116234078358546040653307190928778092498864147734525880680589652366373<121>

24227493823865745348264808693746812033929203757416948547613<59>
411253983235305710727710887396824804112594411092343976703620521<63>

Divisors found:
 r1=24227493823865745348264808693746812033929203757416948547613 (pp59)
 r2=411253983235305710727710887396824804112594411092343976703620521 (pp63)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 24.78 hours.
Scaled time: 59.48 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  9963653338873555885113579897855485527298505516029004116234078358546040653307190928778092498864147734525880680589652366373
skew:  216010.68
Y0:  -265701381615283850087756
Y1:  1491691166941
c0:  88126418902721949832313025837
c1:  20508902548789156002736485
c2:  -127278696104429734372
c3:  -808322041070290
c4:  2340803834
c5:  7524
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1800000, 3800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 660297 x 660528
Total sieving time: 23.52 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 24.78 hours.

17683160897530827331078723251398603555188522817346906816107091308634891803252063258584751986349615777273894513388613308409771602373964013815865105410938543<155>

41606413430595215439176375586924677206983338668189<50>
425010459674169866164049434344022453778451091615361889156612852675307799767677937020865408690640610124987<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17683160897530827331078723251398603555188522817346906816107091308634891803252063258584751986349615777273894513388613308409771602373964013815865105410938543 (155 digits)
Using B1=59710000, B2=388129104100, polynomial Dickson(30), sigma=1:1310568634
Step 1 took 146467ms
Step 2 took 61154ms
********** Factor found in step 2: 41606413430595215439176375586924677206983338668189
Found prime factor of 50 digits: 41606413430595215439176375586924677206983338668189
Prime cofactor 425010459674169866164049434344022453778451091615361889156612852675307799767677937020865408690640610124987 has 105 digits

1761452305183625900116711446983806796299373458711818340473764874440067293669034895623629635228461618511770096934684135736596989251938673739271788844188188296529687<163>

225681106744058840576374317838111<33>

7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817<130>

[2009-06-08 19:49:16 GMT] a: Factor found! / (probable) 225681106744058840576374317838111  B1: 3000000 sigma: 2193550413 (found in step 2)
[2009-06-08 19:49:16 GMT] a:    Co-factor:  / (Composite) 7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817

ECMNET/GMP-ECM 6.2.3

7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817<130>

210993987711043386306604396433748739721250019202852221329754757<63>
36991811990971134697895935238130673044972442529701956242779900550581<68>

Msieve v. 1.44
Thu May 20 10:31:38 2010
random seeds: bd03d509 9856c1f8
factoring 7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817 (130 digits)
searching for 15-digit factors
commencing quadratic sieve (130-digit input)
using multiplier of 5
using 32kb Intel Core sieve core
sieve interval: 122 blocks of size 32768
processing polynomials in batches of 2
using a sieve bound of 20006543 (636000 primes)
using large prime bound of 3000981450 (31 bits)
using double large prime bound of 114570803580218100 (49-57 bits)
using trial factoring cutoff of 57 bits
polynomial 'A' values have 15 factors
restarting with 143308 full and 9133807 partial relations

651887 relations (143308 full + 508579 combined from 9133807 partial), need 636096
sieving complete, commencing postprocessing
begin with 9277115 relations
reduce to 1750784 relations in 13 passes
attempting to read 1750784 relations
recovered 1750784 relations
recovered 1746848 polynomials
attempting to build 651887 cycles
found 651887 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 143308
   length 2 : 104344
   length 3 : 106373
   length 4 : 90373
   length 5 : 72201
   length 6 : 50944
   length 7 : 34288
   length 9+: 50056
largest cycle: 22 relations
matrix is 636000 x 651887 (249.0 MB) with weight 60060409 (92.13/col)
sparse part has weight 60060409 (92.13/col)
filtering completed in 4 passes
matrix is 617219 x 617283 (229.3 MB) with weight 55171051 (89.38/col)
sparse part has weight 55171051 (89.38/col)
saving the first 48 matrix rows for later
matrix is 617171 x 617283 (193.8 MB) with weight 49493292 (80.18/col)
sparse part has weight 44626452 (72.29/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 170.0 MB
linear algebra at 0.2%, ETA 0h27m617283 dimensions (0.2%, ETA 0h27m)
linear algebra completed 617160 of 617283 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 9761 iterations (dim = 617169)
recovered 17 nontrivial dependencies
prp63 factor: 210993987711043386306604396433748739721250019202852221329754757
prp68 factor: 36991811990971134697895935238130673044972442529701956242779900550581

51928782442158387076358722687391908605044632709267038414590460600150801966994526251980932953659427767238203800577495474405919314531202153618251564020677857608067633199099026886053<179>

45619162017862109217377080616999857750513656260513080520326547<62>
1138310748054200473285773830714700065044358106238543230097600526380406089323983585333394649115776086033018576090925799<118>

Number: n
N=51928782442158387076358722687391908605044632709267038414590460600150801966994526251980932953659427767238203800577495474405919314531202153618251564020677857608067633199099026886053  ( 179 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Nov  6 03:12:48 2021  p62 factor: 45619162017862109217377080616999857750513656260513080520326547
Sat Nov  6 03:12:48 2021  p118 factor: 1138310748054200473285773830714700065044358106238543230097600526380406089323983585333394649115776086033018576090925799
Sat Nov  6 03:12:48 2021  elapsed time 02:06:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 58x10^205-31 = 64(204)1
#
n: 51928782442158387076358722687391908605044632709267038414590460600150801966994526251980932953659427767238203800577495474405919314531202153618251564020677857608067633199099026886053
m: 100000000000000000000000000000000000000000
deg: 5
c5: 58
c0: -31
skew: 0.88
# Murphy_E = 8.884e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10318624 hash collisions in 65829440 relations (57905027 unique)
Msieve: matrix is 2368233 x 2368463 (819.2 MB)

Sieving start time : 2021/11/05 08:39:20
Sieving end time  : 2021/11/06 01:04:58

Total sieving time: 16hrs 25min 38secs.

Total relation processing time: 1hrs 47min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561<163>

603499394305409942633944309645683330743514902599412958088962953<63>
2359483127170074026235862280761549560048199738076667513569182797419489104317727416011662096460055137<100>

11/15/24 05:38:08 v1.34.5 @ RYZEN-9,
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, ****************************
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, Starting factorization of 5799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999969
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, using pretesting plan: normal
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, ****************************
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C207
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C207
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, prp5 = 12511
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C203
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, prp7 = 4616531
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C197
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C197
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C197
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/15/24 05:38:08 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.62
11/15/24 05:38:09 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C197 input, B1=2K, B2=gmp-ecm default
11/15/24 05:38:09 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
11/15/24 05:38:09 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.62
11/15/24 05:38:11 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C197 input, B1=11K, B2=gmp-ecm default
11/15/24 05:38:11 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
11/15/24 05:38:11 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.62
11/15/24 05:38:42 v1.34.5 @ RYZEN-9, Finished 214 curves using Lenstra ECM method on C197 input, B1=50K, B2=gmp-ecm default
11/15/24 05:38:42 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C197
11/15/24 05:38:43 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
11/15/24 05:38:43 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 60.62
11/15/24 05:41:08 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c208: 5799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999969
11/15/24 05:41:08 v1.34.5 @ RYZEN-9, nfs: input divides 58*10^206 - 31
11/15/24 05:41:08 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561
11/15/24 05:41:08 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c163: 1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561
11/15/24 05:41:08 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561
# 58*10^206-31, difficulty: 208.76, anorm: -5.07e+026, rnorm: 1.34e+047
# scaled difficulty: 212.17, suggest sieving rational side
# size = 1.275e-014, alpha = 0.749, combined = 5.640e-012, rroots = 1
type: snfs
size: 208
skew: 0.5567
c5: 580
c0: -31
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561
# 58*10^206-31, difficulty: 209.76, anorm: -2.48e+033, rnorm: 1.55e+040
# scaled difficulty: 210.90, suggest sieving rational side
# size = 1.917e-010, alpha = -1.281, combined = 5.282e-012, rroots = 2
type: snfs
size: 209
skew: 0.4181
c6: 5800
c0: -31
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561
# 58*10^206-31, difficulty: 208.97, anorm: -4.55e+026, rnorm: 1.90e+047
# scaled difficulty: 212.40, suggest sieving rational side
# size = 1.093e-014, alpha = 0.518, combined = 5.129e-012, rroots = 1
type: snfs
size: 208
skew: 1.1133
c5: 145
c0: -248
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/15/24 05:41:09 v1.34.5 @ RYZEN-9, test: fb generation took 1.6563 seconds
11/15/24 05:41:09 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 20200000-20202000
skew: 0.5567
c5: 580
c0: -31
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 05:44:38 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/15/24 05:44:41 v1.34.5 @ RYZEN-9, test: fb generation took 2.5469 seconds
11/15/24 05:44:41 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4181
c6: 5800
c0: -31
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 05:47:47 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/15/24 05:47:49 v1.34.5 @ RYZEN-9, test: fb generation took 1.7344 seconds
11/15/24 05:47:49 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 1.1133
c5: 145
c0: -248
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 05:51:07 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/15/24 05:51:07 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561
# 58*10^206-31, difficulty: 208.76, anorm: -5.07e+026, rnorm: 1.34e+047
# scaled difficulty: 212.17, suggest sieving rational side
# size = 1.275e-014, alpha = 0.749, combined = 5.640e-012, rroots = 1
type: snfs
size: 208
skew: 0.5567
c5: 580
c0: -31
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
11/16/24 14:25:26 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/16/24 14:27:35 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22162376
11/16/24 16:19:11 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/16/24 16:21:27 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23289480
11/16/24 18:23:44 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/16/24 18:26:04 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24511273
11/16/24 20:40:47 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/16/24 20:43:13 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25830493
11/16/24 22:57:02 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/16/24 22:59:33 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27128291
11/17/24 01:24:33 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/17/24 01:29:19 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/17/24 06:06:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/17/24 06:34:57 v1.34.5 @ RYZEN-9, prp63 = 603499394305409942633944309645683330743514902599412958088962953
11/17/24 06:34:58 v1.34.5 @ RYZEN-9, prp100 = 2359483127170074026235862280761549560048199738076667513569182797419489104317727416011662096460055137
11/17/24 06:34:58 v1.34.5 @ RYZEN-9, NFS elapsed time = 176030.2002 seconds.
11/17/24 06:34:58 v1.34.5 @ RYZEN-9,
11/17/24 06:34:58 v1.34.5 @ RYZEN-9,
11/15/24 05:51:07 v1.34.5 @ RYZEN-9, test: test sieving took 599.34 seconds

YAFU

64279595319120596143524219881613663272894490225736402259627389489072288953549179096928754000156676779907116064113667546509953018098493369613369342213<149>

1364460443210473057471416787830847<34>

47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979<116>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4191501976
Step 1 took 6800ms
Step 2 took 5193ms
********** Factor found in step 2: 1364460443210473057471416787830847
Found probable prime factor of 34 digits: 1364460443210473057471416787830847
Composite cofactor 

47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979<116>

252605562885694476223551242163015797161421742412390799<54>
186495893720963076323665777679671784542101609881595880700076821<63>

N=47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979
  ( 116 digits)
Divisors found:
 r1=252605562885694476223551242163015797161421742412390799 (pp54)
 r2=186495893720963076323665777679671784542101609881595880700076821 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 38.48 hours.
Scaled time: 41.67 units (timescale=1.083).
Factorization parameters were as follows:
n: 47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979
skew: 25146.40
c0: 65416169036474578986367869
c1: -17463632585317595457746
c2: 1634959232035330372
c3: 298646526674935
c4: -2994889926
c5: 23256
Y0: -18252223074273518009428
Y1: 546426318239
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2300000, 3500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 499975 x 500207
Total sieving time: 37.52 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4600000,4600000,27,27,54,54,2.5,2.5,100000
total time: 38.48 hours.
 --------- CPU info (if available) ----------

2265799642656594935544059604877282400805306684547106139820377469742531884354288767499867752797386109684338463412626673809971098473258524462046043952698517068940980744309125490308651647459<187>

49613653615862492548101127322153<32>
45668872931627288561267022990127409460395088345182191499279274836335844952705546241379857817256074706764038304732305393799927468342083030154910042306377003<155>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=612226918
Step 1 took 10441ms
Step 2 took 6672ms
********** Factor found in step 2: 49613653615862492548101127322153
Found probable prime factor of 32 digits: 49613653615862492548101127322153
Probable prime cofactor 

6123841644609943068932096112900674991956850209880022852733204221729336967988894214194088690098746713866471499912497200953900874679210589847751342364185077728242227632511422327095431233019<187>

1229211467555003671947588070562945795003987964782088603377532220395192564312456769008112648713052309181783069053595419888579127221126309008768227168637456663033553261054520369951198784702264229<193>

396222598539595012176177823123090838186213623401899713039977258639482391795702296696230869901212726059551686323879881906071088022487968754623743806589901879<156>

87266264421818267075407224596218945621046986705992841608212190730109856579869950417296119924605853457177276561008981348091861748636648968392680668035958913446038487193765294478278259749581868094950848011557<206>

1544493876063595131475075250410251720952788587197976890097<58>
20799621860089285236497616135872027375547585383923758364216463<62>
2716469013878274471738004335892842372227328968657568906812917624035616933136181491347387<88>

Number: n
N=87266264421818267075407224596218945621046986705992841608212190730109856579869950417296119924605853457177276561008981348091861748636648968392680668035958913446038487193765294478278259749581868094950848011557
  ( 206 digits)
SNFS difficulty: 216 digits.
Divisors found:

Wed Jan 29 05:04:59 2020  found factor: 20799621860089285236497616135872027375547585383923758364216463
Wed Jan 29 05:10:39 2020  found factor: 20799621860089285236497616135872027375547585383923758364216463
Wed Jan 29 05:16:19 2020  p58 factor: 1544493876063595131475075250410251720952788587197976890097
Wed Jan 29 05:16:19 2020  p62 factor: 20799621860089285236497616135872027375547585383923758364216463
Wed Jan 29 05:16:19 2020  p88 factor: 2716469013878274471738004335892842372227328968657568906812917624035616933136181491347387
Wed Jan 29 05:16:19 2020  elapsed time 06:54:22 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 58x10^214-31 = 64(213)1
#
n: 87266264421818267075407224596218945621046986705992841608212190730109856579869950417296119924605853457177276561008981348091861748636648968392680668035958913446038487193765294478278259749581868094950848011557
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
# Murphy_E = 2.45e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 90000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11978179 hash collisions in 67716310 relations (57650604 unique)
Msieve: matrix is 3942445 x 3942670 (1372.0 MB)

Sieving start time: 2020/01/27 01:12:17
Sieving end time  : 2020/01/28 22:19:43

Total sieving time: 45hrs 7min 26secs.

Total relation processing time: 6hrs 15min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 1sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<218>

7863840277658505879348791619358088281557061<43>
8195034762790613310886183921866127284493079082712164840176304823451470778105323057638463665857784649794621493959670307141197777158297630227040792598275796687431703948507472581<175>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3992343772
Step 1 took 67057ms
Step 2 took 30051ms
********** Factor found in step 2: 7863840277658505879348791619358088281557061
Found probable prime factor of 43 digits: 7863840277658505879348791619358088281557061
Probable prime cofactor

11173831167615193690253222773168176112492117580076248330556993075716044412758873124537250653766540289077631319266848553049144808502476939652211361690750166048408260122800020356390962249202397593<194>

219692291271802202856741225037734331<36>
50861280124713095700942976202934107234665161975703788669576033080343243254826930456781565076302162879299215232145543829903808237935331912318425963045400316603<158>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3879654969
Step 1 took 12629ms
Step 2 took 7220ms
********** Factor found in step 2: 219692291271802202856741225037734331
Found probable prime factor of 36 digits: 219692291271802202856741225037734331
Probable prime cofactor

7513930595593894800110032784165260911306514544559685339285662401846524683940933198310956686491363305268521364702900343429849091440702334798250007469827652086363583500600291317153457284053983637561<196>

12719721258267836387251166326775702296048224498047036627998786507469756519<74>
590730759190955504170544972484100994077981239346767900593100122155462892560799793138615811174000081325095428718100393332319<123>

Number: 64441_220
N = 7513930595593894800110032784165260911306514544559685339285662401846524683940933198310956686491363305268521364702900343429849091440702334798250007469827652086363583500600291317153457284053983637561 (196 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=12719721258267836387251166326775702296048224498047036627998786507469756519 (pp74)
r2=590730759190955504170544972484100994077981239346767900593100122155462892560799793138615811174000081325095428718100393332319 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 45.79 hours.
Factorization parameters were as follows:
n: 7513930595593894800110032784165260911306514544559685339285662401846524683940933198310956686491363305268521364702900343429849091440702334798250007469827652086363583500600291317153457284053983637561
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 58
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34964163
Relations: 7504236 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.51 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 6900145 x 6900370
Matrix solve time: 22.42 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 45.79 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

441109765226553468789079833140513628744842736772321372784474071373534795828966607268311338030306956436106192125008839143483826960635156297930824579864849969754334420684846632018252440565357<189>

50290040722374663013753912127118627363577898178418651<53>
21190540337071595441515191251112176233272672037861652503<56>
413925949830531635955021667869977484381038610611091772083414137458468136448280769<81>

Number: 64441_221
N = 441109765226553468789079833140513628744842736772321372784474071373534795828966607268311338030306956436106192125008839143483826960635156297930824579864849969754334420684846632018252440565357 (189 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=50290040722374663013753912127118627363577898178418651 (pp53)
r2=21190540337071595441515191251112176233272672037861652503 (pp56)
r3=413925949830531635955021667869977484381038610611091772083414137458468136448280769 (pp81)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 59.98 hours.
Factorization parameters were as follows:
n: 441109765226553468789079833140513628744842736772321372784474071373534795828966607268311338030306956436106192125008839143483826960635156297930824579864849969754334420684846632018252440565357
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 580
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 9829314 relations
Pruned matrix : 8351163 x 8351388
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.50 hours.
Total relation processing time: 1.01 hours.
Matrix solve time: 21.96 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 59.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

570954607666129672582239638669946968573981458679312501682975752945751355241338330468183642584915144335403487915281798213840747385742515034889478791233483004743520029866717<171>

51522162079163848073847171368665431165820727269<47>
11081728417935128725948812800368051190717772414003038781613766239541951768946750487984313164650324701458438371554139577450393<125>

Number: 64441_222
N = 570954607666129672582239638669946968573981458679312501682975752945751355241338330468183642584915144335403487915281798213840747385742515034889478791233483004743520029866717 (171 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=51522162079163848073847171368665431165820727269 (pp47)
r2=11081728417935128725948812800368051190717772414003038781613766239541951768946750487984313164650324701458438371554139577450393 (pp125)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 59.27 hours.
Factorization parameters were as follows:
n: 570954607666129672582239638669946968573981458679312501682975752945751355241338330468183642584915144335403487915281798213840747385742515034889478791233483004743520029866717
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5800
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33955310
Relations: 8963766 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 28.68 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 7687072 x 7687297
Matrix solve time: 29.92 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 59.27 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

346093206235900140027135322112323202850581369050983233781343620069424441759004855499940839049181754893852047958194120479577035619699247669147393867004851674743076084892005074525339517830887<189>

5389296905088133135885089285851448306438596135531846906411014574650854464296829979347259608305891432717717898004290872992237002579793063362629275086183850659870383959384274974767386394032708491587057<199>

87613578816492624481876708592589221<35>
61512119215858773395677088273928115570941072222997440304497100143067659172695468325374812662801836441004836408321699039096369326962623080539958191522089846909524317<164>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4248420164
Step 1 took 12409ms
Step 2 took 7232ms
********** Factor found in step 2: 87613578816492624481876708592589221
Found probable prime factor of 35 digits: 87613578816492624481876708592589221
Probable prime cofactor

5228049027261150914637453215024754730040464143041518323210236940529727692956083722025895764422122914316869895668770914227320041625506568322116602845589726502792640768775954451507<178>

29716840775902377734810613346885971779<38>
175928829941459234930634971587153697504984824872485035095724923677291822718887053511556049703093747301350283200598438817970795634731128113233<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2468610681
Step 1 took 15749ms
Step 2 took 6381ms
********** Factor found in step 2: 29716840775902377734810613346885971779
Found probable prime factor of 38 digits: 29716840775902377734810613346885971779
Probable prime cofactor

497672050351729089844440061332918810945779438179880890921375288706402955410359701011058074358283731112732573826951650595792435066391012582388901438960877388201467878627882512222995293546650171434348938231<204>

122877159576341870512756151555707369<36>

4050159135087529148145155985546173049951290875446813595006710363771894067532249122666634342111164946834742952470064267966438484575858223320719483866723836245198393842399<169>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=659739945
Step 1 took 12320ms
Step 2 took 7461ms
********** Factor found in step 2: 122877159576341870512756151555707369
Found probable prime factor of 36 digits: 122877159576341870512756151555707369
Composite cofactor

4050159135087529148145155985546173049951290875446813595006710363771894067532249122666634342111164946834742952470064267966438484575858223320719483866723836245198393842399<169>

314183513502930659122289844246529<33>
12891061946347957687652785984347919955126201107074945702471663008378396427545102639419302430290828789044170865061973823598221778431800031<137>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=655774020
Step 1 took 12112ms
Step 2 took 7381ms
********** Factor found in step 2: 314183513502930659122289844246529
Found probable prime factor of 33 digits: 314183513502930659122289844246529
Composite cofactor

9573087743610608871417881176468700553328129106748037787416695319095173634017281731554268857187911250263404205712612797807773238128430534923680821049448155556326291372607816259789218173829182593443<196>

1516150987439564222255348519606760826764104059688392559240891196267353754141236564184080821493356232642369899462666196695202873234191321735111003326067583531522093237254764979341216119862173693<193>

581681058258366679704345558664540522108894705699471472555685932344475534294109977835945883603614445748212333644231829988667248347724925033346371012225331207188775561372366138139222352599011142200960776644502612550270281112414879<228>

65403422632066331569991502085049132993126818154369178807694024715964757537984398163257831240089161195140562978605996500706073886491153941690988622764818853425845802423159809222022422910477827223476099<200>

6379917975095345694796631155438631254747<40>

10251451960256416895417306298233333286804133587024670102789340670593239378686899531377659633808647094821024323932947336037397827221055592401459293009353427268217<161>

Run 154 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3321224075
Step 1 took 18927ms
Step 2 took 6164ms
********** Factor found in step 2: 6379917975095345694796631155438631254747
Found probable prime factor of 40 digits: 6379917975095345694796631155438631254747
Composite cofactor 10251451960256416895417306298233333286804133587024670102789340670593239378686899531377659633808647094821024323932947336037397827221055592401459293009353427268217 has 161 digits

GMP-ECM 6.4.4

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

10251451960256416895417306298233333286804133587024670102789340670593239378686899531377659633808647094821024323932947336037397827221055592401459293009353427268217<161>

5651912239613087992890545831998195455040656643586753<52>
1813802395657544537673342070883391780356354578153937738008247723701019611473451776092224637934982166833282489<109>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 10251451960256416895417306298233333286804133587024670102789340670593239378686899531377659633808647094821024323932947336037397827221055592401459293009353427268217 (161 digits)
[Thu Apr 29 09:20:32 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:16470642471150792664
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 544125ms
Using 20 small primes for NTT
Estimated memory usage: 472.20MB
Initializing tables of differences for F took 391ms
Computing roots of F took 19844ms
Building F from its roots took 8890ms
Computing 1/F took 3328ms
Initializing table of differences for G took 328ms
Computing roots of G took 15453ms
Building G from its roots took 8860ms
Computing roots of G took 15984ms
Building G from its roots took 8891ms
Computing G * H took 2000ms
Reducing  G * H mod F took 1953ms
Computing roots of G took 16078ms
Building G from its roots took 9000ms
Computing G * H took 2063ms
Reducing  G * H mod F took 1922ms
Computing roots of G took 15922ms
Building G from its roots took 8796ms
Computing G * H took 1937ms
Reducing  G * H mod F took 2016ms
Computing polyeval(F,G) took 16188ms
Computing product of all F(g_i) took 109ms
Step 2 took 160906ms
********** Factor found in step 2: 5651912239613087992890545831998195455040656643586753
Found prime factor of 52 digits: 5651912239613087992890545831998195455040656643586753
Prime cofactor 1813802395657544537673342070883391780356354578153937738008247723701019611473451776092224637934982166833282489 has 109 digits
Peak memory usage: 616MB

GMP-ECM 7.0.5-dev

101094623155732167865450485969878763785396750032823014279800730738609420581382857467940336678190285918862411985240017961382797744935538054162249997185247475588957605492739<171>

7716969622044638203493044137605435059202593<43>

13100300779588502826612672860408252559860862107209456525408693292314804645332775141506829560225398505581538007889378197312226723<128>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2618100178
Step 1 took 8284ms
Step 2 took 5884ms
********** Factor found in step 2: 7716969622044638203493044137605435059202593
Found probable prime factor of 43 digits: 7716969622044638203493044137605435059202593
Composite cofactor 

13100300779588502826612672860408252559860862107209456525408693292314804645332775141506829560225398505581538007889378197312226723<128>

338443563250578296053220237609567303<36>
38707489821247526526917875709521684591664000245586771375456851536915723455869528712072179141<92>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2039041272
Step 1 took 8217ms
Step 2 took 5924ms
********** Factor found in step 2: 338443563250578296053220237609567303
Found probable prime factor of 36 digits: 338443563250578296053220237609567303
Composite cofactor

60064336321632280818211495791420327816055136626961731188920369230376793519565268701588512899645071253798712608279861088994505023012579225493459223493185126195519753610828052947959024204711465791978465861<203>

14987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987<236>

3170953818102590476952128996299854612795173089619651197034920520453723<70>
4726363410844948877791355005479590897422046868739555386954782622777917523638643111892263264427484366106518613568859305408284057648025191705393064027554503814571474769<166>

Number: n
N=149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033
59173126614987080103359173126614987  ( 236 digits)
SNFS difficulty: 237 digits.
Divisors found:

Mon Feb  1 10:48:54 2021  p70 factor: 3170953818102590476952128996299854612795173089619651197034920520453723
Mon Feb  1 10:48:54 2021  p166 factor: 47263634108449488777913550054795908974220468687395553869547826227779175236386431118922632644274843661065186135688593054082840576480251917053930640275545038145714747
69
Mon Feb  1 10:48:54 2021  elapsed time 34:19:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 58x10^236-31 = 64(235)1
#
n: 14987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103
359173126614987080103359173126614987
m: 1000000000000000000000000000000000000000
deg: 6
c6: 5800
c0: -31
skew: 0.42
# Murphy_E = 5.058e-13
type: snfs
lss: 1
rlim: 64000000
alim: 64000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 64000000/64000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 88000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 26201686 hash collisions in 129722850 relations (105347092 unique)
Msieve: matrix is 8360683 x 8360908 (2946.3 MB)

Sieving start time: 2021/01/26 23:44:59
Sieving end time  : 2021/01/31 00:26:28

Total sieving time: 96hrs 41min 29secs.

Total relation processing time: 33hrs 12min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 22sec.

Prototype def-par.txt line would be:
snfs,237,6,0,0,0,0,0,0,0,0,64000000,64000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118315] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241920K/16727236K available (14339K kernel code, 2399K rwdata, 4960K rodata, 2724K init, 4980K bss, 485316K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.152034] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

14873384863247355425178821865515554107909286009372867610377830913086263954560260904135788914072832323660825263154427354339164670473930652800158578364302740436925400603464573213283388543807063094849385510107751609033009<218>

42183591866113611892255895271482786124385687140477619034925868438501249890485721024022451064311273574593557026038500635325738447409578240044716826370677868754724224238320913689263372837417067750678217157426790027339<215>

1221819931240875769403040689186493934459892855667417756058029018188690384486459707192353707560989411840099530887561729930945422651504808920205600717570184589554844710147973561597358066284616997<193>

126922328939829384440491032729570379514613563414629929830115119208843230112873996610604855142342407163811362870303827327510968441660118678067180382604734609896234649975242486750676556191939736227827681230369300867389384290810217221219864071<240>