26315118888191877587547043507499422298513551362931446635147283289509272535647511788249033<89>

114877201249511949891103932264968054975431<42>
229071727043869603925224582993965493773213890543<48>

Msieve v. 1.43
Mon Jan 04 17:09:29 2010
random seeds: 0210d020 2dc440d7
factoring 2631511888819187758754704350749942229851355136293144663514728328950927
2535647511788249033 (89 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (89-digit input)
using multiplier of 5
using VC8 32kb sieve core
sieve interval: 30 blocks of size 32768
processing polynomials in batches of 7
using a sieve bound of 1533533 (58667 primes)
using large prime bound of 122682640 (26 bits)
using double large prime bound of 362918804186880 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
58991 relations (16371 full + 42620 combined from 613656 partial), need 58763
58991 relations (16371 full + 42620 combined from 613656 partial), need 58763
sieving complete, commencing postprocessing
begin with 630027 relations
reduce to 140592 relations in 10 passes
attempting to read 140592 relations
recovered 140592 relations
recovered 115603 polynomials
attempting to build 58991 cycles
found 58991 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 16371
   length 2 : 11681
   length 3 : 10411
   length 4 : 7934
   length 5 : 5412
   length 6 : 3183
   length 7 : 1870
   length 9+: 2129
largest cycle: 16 relations
matrix is 58667 x 58991 (15.1 MB) with weight 3492647 (59.21/col)
sparse part has weight 3492647 (59.21/col)
filtering completed in 3 passes
matrix is 53983 x 54045 (13.9 MB) with weight 3223934 (59.65/col)
sparse part has weight 3223934 (59.65/col)
saving the first 48 matrix rows for later
matrix is 53935 x 54045 (10.4 MB) with weight 2662640 (49.27/col)
sparse part has weight 2192512 (40.57/col)
matrix includes 64 packed rows
using block size 21618 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 9.1 MB
lanczos halted after 855 iterations (dim = 53935)
recovered 18 nontrivial dependencies
prp42 factor: 114877201249511949891103932264968054975431
prp48 factor: 229071727043869603925224582993965493773213890543
elapsed time 00:58:38

Msieve v 1.43

21441887436720359683609420778273458796870090148704010938132155429492013821174039910505251599<92>

784268509704243677849320010391144644920717289<45>
27339982635292002729380068059752843939450484791<47>

Number: 82227_108
N=21441887436720359683609420778273458796870090148704010938132155429492013821174039910505251599
  ( 92 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=784268509704243677849320010391144644920717289 (pp45)
 r2=27339982635292002729380068059752843939450484791 (pp47)
Version: Msieve v. 1.43
Total time: 1.02 hours.
Scaled time: 2.20 units (timescale=2.158).
Factorization parameters were as follows:
n: 21441887436720359683609420778273458796870090148704010938132155429492013821174039910505251599
m: 1000000000000000000000
deg: 5
c5: 74000
c0: 43
skew: 0.23
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
qintsize: 100000Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 57312 x 57537
Total sieving time: 1.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 1.02 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

14488112621301326970537758651758032402389351300480792652946567434862142567108747030610225641456059718833<104>

18778336504880946035741071475940473161<38>
771533336700804908322197954254793456917914506464280235510025613353<66>

N=14488112621301326970537758651758032402389351300480792652946567434862142567108747030610225641456059718833
  ( 104 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=18778336504880946035741071475940473161 (pp38)
 r2=771533336700804908322197954254793456917914506464280235510025613353 (pp66)
Version: Msieve-1.40
Total time: 1.69 hours.
Scaled time: 1.58 units (timescale=0.934).
Factorization parameters were as follows:
n: 14488112621301326970537758651758032402389351300480792652946567434862142567108747030610225641456059718833
m: 10000000000000000000000
deg: 5
c5: 74000
c0: 43
skew: 0.23
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59307 x 59532
Total sieving time: 1.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,50000
total time: 1.69 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1312256868503508007993157056748524901031741629754734612284029911106407081542674814384360101066027943711717<106>

333596403336482767205077746590326409311555746697141<51>
3933666116837288403672906457639297820824637154552967537<55>

N=1312256868503508007993157056748524901031741629754734612284029911106407081542674814384360101066027943711717
  ( 106 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=333596403336482767205077746590326409311555746697141 (pp51)
 r2=3933666116837288403672906457639297820824637154552967537 (pp55)
Version: Msieve-1.40
Total time: 2.69 hours.
Scaled time: 2.51 units (timescale=0.934).
Factorization parameters were as follows:
n: 1312256868503508007993157056748524901031741629754734612284029911106407081542674814384360101066027943711717
m: 1000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor 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, 855001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93655 x 93880
Total sieving time: 2.63 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 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: 2.69 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

140680419974889553189114368151218193876586628118342813199720839778110669901683829678065483053659<96>

4074924652325459665257607190049702305141<40>
34523440794078654709989643418772207253160844266294406799<56>

Number: 82227_123
N=140680419974889553189114368151218193876586628118342813199720839778110669901683829678065483053659
  ( 96 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=4074924652325459665257607190049702305141 (pp40)
 r2=34523440794078654709989643418772207253160844266294406799 (pp56)
Version: Msieve v. 1.43
Total time: 3.51 hours.
Scaled time: 7.61 units (timescale=2.166).
Factorization parameters were as follows:
n: 140680419974889553189114368151218193876586628118342813199720839778110669901683829678065483053659 
m: 1000000000000000000000000 
deg: 5 
c5: 74000 
c0: 43 
skew: 0.23 
type: snfs 
lss: 1 
rlim: 840000 
alim: 840000 
lpbr: 25 
lpba: 25 
mfbr: 46 
mfba: 46 
rlambda: 2.2 
alambda: 2.2 
qintsize: 100000 
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 920001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100260 x 100485
Total sieving time: 3.47 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,
total time: 3.51 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

159564115004391069597759614068695212756901282134133007140903876155032660827866267<81>

149011934053492335351563025916590727<36>
1070814334555987375577783813390101623946643021<46>

Sun Jan 03 19:13:54 2010  
Sun Jan 03 19:13:54 2010  
Sun Jan 03 19:13:54 2010  Msieve v. 1.43
Sun Jan 03 19:13:54 2010  random seeds: eedb1514 27f12c42
Sun Jan 03 19:13:54 2010  factoring 159564115004391069597759614068695212756901282134133007140903876155032660827866267 (81 digits)
Sun Jan 03 19:13:56 2010  searching for 15-digit factors
Sun Jan 03 19:13:57 2010  commencing quadratic sieve (81-digit input)
Sun Jan 03 19:13:58 2010  using multiplier of 11
Sun Jan 03 19:13:58 2010  using 64kb Pentium 4 sieve core
Sun Jan 03 19:13:58 2010  sieve interval: 6 blocks of size 65536
Sun Jan 03 19:13:58 2010  processing polynomials in batches of 17
Sun Jan 03 19:13:58 2010  using a sieve bound of 1307729 (50294 primes)
Sun Jan 03 19:13:58 2010  using large prime bound of 129465171 (26 bits)
Sun Jan 03 19:13:58 2010  using trial factoring cutoff of 27 bits
Sun Jan 03 19:13:58 2010  polynomial 'A' values have 10 factors
Sun Jan 03 19:45:48 2010  50415 relations (26451 full + 23964 combined from 269854 partial), need 50390
Sun Jan 03 19:45:49 2010  begin with 296305 relations
Sun Jan 03 19:45:49 2010  reduce to 71420 relations in 2 passes
Sun Jan 03 19:45:49 2010  attempting to read 71420 relations
Sun Jan 03 19:45:51 2010  recovered 71420 relations
Sun Jan 03 19:45:51 2010  recovered 59701 polynomials
Sun Jan 03 19:45:51 2010  attempting to build 50415 cycles
Sun Jan 03 19:45:51 2010  found 50415 cycles in 1 passes
Sun Jan 03 19:45:51 2010  distribution of cycle lengths:
Sun Jan 03 19:45:51 2010     length 1 : 26451
Sun Jan 03 19:45:51 2010     length 2 : 23964
Sun Jan 03 19:45:51 2010  largest cycle: 2 relations
Sun Jan 03 19:45:51 2010  matrix is 50294 x 50415 (6.6 MB) with weight 1538073 (30.51/col)
Sun Jan 03 19:45:51 2010  sparse part has weight 1538073 (30.51/col)
Sun Jan 03 19:45:53 2010  filtering completed in 4 passes
Sun Jan 03 19:45:53 2010  matrix is 34999 x 35063 (5.1 MB) with weight 1206525 (34.41/col)
Sun Jan 03 19:45:53 2010  sparse part has weight 1206525 (34.41/col)
Sun Jan 03 19:45:53 2010  saving the first 48 matrix rows for later
Sun Jan 03 19:45:53 2010  matrix is 34951 x 35063 (3.7 MB) with weight 951078 (27.12/col)
Sun Jan 03 19:45:53 2010  sparse part has weight 761061 (21.71/col)
Sun Jan 03 19:45:53 2010  matrix includes 64 packed rows
Sun Jan 03 19:45:53 2010  using block size 10922 for processor cache size 256 kB
Sun Jan 03 19:45:53 2010  commencing Lanczos iteration
Sun Jan 03 19:45:53 2010  memory use: 4.3 MB
Sun Jan 03 19:46:08 2010  lanczos halted after 554 iterations (dim = 34949)
Sun Jan 03 19:46:08 2010  recovered 17 nontrivial dependencies
Sun Jan 03 19:46:09 2010  prp36 factor: 149011934053492335351563025916590727
Sun Jan 03 19:46:09 2010  prp46 factor: 1070814334555987375577783813390101623946643021
Sun Jan 03 19:46:09 2010  elapsed time 00:32:15

646400485080557526241643224350025059590846161062623671247626989154444593689220546503090975909115986196099878368769681<117>

28668089118851987462914151712299033<35>
22547735302507061867673393899802542097291137847305390440839730761203677804438585657<83>

N=646400485080557526241643224350025059590846161062623671247626989154444593689220546503090975909115986196099878368769681
  ( 117 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=28668089118851987462914151712299033 (pp35)
 r2=22547735302507061867673393899802542097291137847305390440839730761203677804438585657 (pp83)
Version: Msieve-1.40
Total time: 3.40 hours.
Scaled time: 3.18 units (timescale=0.936).
Factorization parameters were as follows:
n: 646400485080557526241643224350025059590846161062623671247626989154444593689220546503090975909115986196099878368769681
m: 10000000000000000000000000
deg: 5
c5: 74000
c0: 43
skew: 0.23
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153662 x 153887
Total sieving time: 3.24 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 3.40 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

187827798834720389646583167088207195210997135149598575698665062976564019058087291078535122885771191029567<105>

7919106826897024044301841761594850798720400879737<49>
23718305983292022696785626767822845444735028728558665591<56>

Number: 82227_132
N=187827798834720389646583167088207195210997135149598575698665062976564019058087291078535122885771191029567
  ( 105 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=7919106826897024044301841761594850798720400879737 (pp49)
 r2=23718305983292022696785626767822845444735028728558665591 (pp56)
Version: Msieve v. 1.43
Total time: 5.36 hours.
Scaled time: 11.38 units (timescale=2.123).
Factorization parameters were as follows:
n: 187827798834720389646583167088207195210997135149598575698665062976564019058087291078535122885771191029567 
m: 100000000000000000000000000 
deg: 5 
c5: 7400 
c0: 43 
skew: 0.36 
type: snfs 
lss: 1 
rlim: 1190000 
alim: 1190000 
lpbr: 26 
lpba: 26 
mfbr: 47 
mfba: 47 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 187098 x 187324
Total sieving time: 5.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs ,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,
total time: 5.36 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

17655345945758582404899248181163836316278438407088662373931597833646686055781389183234627<89>

12706928148616070944467498279960841<35>
1389426755173826214002677743262542946953286103862151147<55>

Msieve v. 1.43
Sun Jan 03 13:23:46 2010
random seeds: c2c0e4c8 fc3c203f
factoring 1765534594575858240489924818116383631627843840708866237393159783364668
6055781389183234627 (89 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (89-digit input)
using multiplier of 3
using VC8 32kb sieve core
sieve interval: 30 blocks of size 32768
processing polynomials in batches of 7
using a sieve bound of 1542031 (58667 primes)
using large prime bound of 123362480 (26 bits)
using double large prime bound of 366546813461520 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
59012 relations (16480 full + 42532 combined from 615070 partial), need 58763
59012 relations (16480 full + 42532 combined from 615070 partial), need 58763
sieving complete, commencing postprocessing
begin with 631550 relations
reduce to 141118 relations in 12 passes
attempting to read 141118 relations
recovered 141118 relations
recovered 113664 polynomials
attempting to build 59012 cycles
found 59012 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16480
   length 2 : 11738
   length 3 : 10240
   length 4 : 7784
   length 5 : 5368
   length 6 : 3252
   length 7 : 1938
   length 9+: 2212
largest cycle: 18 relations
matrix is 58667 x 59012 (15.0 MB) with weight 3470532 (58.81/col)
sparse part has weight 3470532 (58.81/col)
filtering completed in 3 passes
matrix is 54037 x 54101 (13.9 MB) with weight 3204006 (59.22/col)
sparse part has weight 3204006 (59.22/col)
saving the first 48 matrix rows for later
matrix is 53989 x 54101 (10.0 MB) with weight 2593525 (47.94/col)
sparse part has weight 2073694 (38.33/col)
matrix includes 64 packed rows
using block size 21640 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 8.9 MB
lanczos halted after 855 iterations (dim = 53985)
recovered 15 nontrivial dependencies
prp35 factor: 12706928148616070944467498279960841
prp55 factor: 1389426755173826214002677743262542946953286103862151147
elapsed time 00:52:37

Msieve v 1.43

4627284721831404255851326592505049368125511971535945873274929496438866690428399022017120953470776195746649908392268682662064394294683<133>

9467500191794120028420456168073110680436068244433394101<55>
488754647804714726204964751424028492528714561200657189710970719743857232954383<78>

Number: 82227_136
N=4627284721831404255851326592505049368125511971535945873274929496438866690428399022017120953470776195746649908392268682662064394294683
  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=9467500191794120028420456168073110680436068244433394101 (pp55)
 r2=488754647804714726204964751424028492528714561200657189710970719743857232954383 (pp78)
Version: Msieve v. 1.44
Total time: 11.32 hours.
Scaled time: 17.16 units (timescale=1.516).
Factorization parameters were as follows:
n: 4627284721831404255851326592505049368125511971535945873274929496438866690428399022017120953470776195746649908392268682662064394294683
m: 1000000000000000000000000000
deg: 5
c5: 740
c0: 43
skew: 0.57
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1895001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166988 x 167214
Total sieving time: 11.14 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 11.32 hours.
 --------- CPU info (if available) ----------
[    0.030036] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.102107] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7384k kernel code, 452k absent, 44552k reserved, 3471k data, 780k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3989.98 BogoMIPS (lpj=1994992)
[    0.001999] Calibrating delay using timer specific routine.. 3949.27 BogoMIPS (lpj=1974635)
[    0.103028] Total of 2 processors activated (7939.25 BogoMIPS).

ggnfs + msieve

Core 2 Duo T7200, 2 GB RAM

13061305177395469845152931998256139254693685917971473403476072218427383555816781659103464952458614195520678340649429273914985023625077<134>

15226373986850879852133071957170423<35>
4318267796207523658841651580738071886199<40>
198646314854060505899079076308850016821789807961118616217701<60>

N=13061305177395469845152931998256139254693685917971473403476072218427383555816781659103464952458614195520678340649429273914985023625077
  ( 134 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=15226373986850879852133071957170423 (pp35)
 r2=4318267796207523658841651580738071886199 (pp40)
 r3=198646314854060505899079076308850016821789807961118616217701 (pp60)
Version: Msieve-1.40
Total time: 6.18 hours.
Scaled time: 5.76 units (timescale=0.933).
Factorization parameters were as follows:
n: 13061305177395469845152931998256139254693685917971473403476072218427383555816781659103464952458614195520678340649429273914985023625077
m: 1000000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 235235 x 235461
Total sieving time: 5.80 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,75000
total time: 6.18 hours.
 --------- CPU info (if available) ----------

27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<140>

60324106988204789303369191599641167<35>
454335899456686446573378945712529540755761523511116485486220705795811093966398511000945866407508685337727<105>

N=27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=60324106988204789303369191599641167 (pp35)
 r2=454335899456686446573378945712529540755761523511116485486220705795811093966398511000945866407508685337727 (pp105)
Version: Msieve-1.40
Total time: 10.49 hours.
Scaled time: 9.79 units (timescale=0.933).
Factorization parameters were as follows:
n: 27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
m: 2000000000000000000000000000
deg: 5
c5: 23125
c0: 43
skew: 0.28
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 219081 x 219306
Total sieving time: 10.27 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 10.49 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

45482211475889413138208899836484139701675737952274036702718970823469528448458141619946104528277070737142384494323<113>

18516411070429207858241975293292867<35>
2456318954191112680926313208097615242761555493569854218692893985200227805159569<79>

Number: 82227_140
N=45482211475889413138208899836484139701675737952274036702718970823469528448458141619946104528277070737142384494323
  ( 113 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=18516411070429207858241975293292867 (pp35)
 r2=2456318954191112680926313208097615242761555493569854218692893985200227805159569 (pp79)
Version: Msieve v. 1.43
Total time: 9.66 hours.
Scaled time: 20.18 units (timescale=2.088).
Factorization parameters were as follows:
name: FearOfTheFuture
n: 45482211475889413138208899836484139701675737952274036702718970823469528448458141619946104528277070737142384494323 
m: 10000000000000000000000000000 
deg: 5 
c5: 74 
c0: 43 
skew: 0.90 
type: snfs 
lss: 1 
rlim: 1620000 
alim: 1620000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 216001 x 216229
Total sieving time: 9.46 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs ,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,
total time: 9.66 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

22282122633084869827754048645853097406425716825044608110285397158098073440983220901500315066170920026136937439814579244046213369<128>

56079363511354072226934995666735496660795468320866830182075303<62>
397331945976411344523716652028361946448997446666067981375263113823<66>

Number: 82227_141
N=22282122633084869827754048645853097406425716825044608110285397158098073440983220901500315066170920026136937439814579244046213369
  ( 128 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=56079363511354072226934995666735496660795468320866830182075303 (pp62)
 r2=397331945976411344523716652028361946448997446666067981375263113823 (pp66)
Version: Msieve v. 1.42
Total time: 0.27 hours.
Scaled time: 0.21 units (timescale=0.796).
Factorization parameters were as follows:
name: 82227_141
n: 22282122633084869827754048645853097406425716825044608110285397158098073440983220901500315066170920026136937439814579244046213369
m: 10000000000000000000000000000
deg: 5
c5: 740
c0: 43
skew: 0.57
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264226 x 264452
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 0.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 5 hours 28 min.

96317957149599921732916339729762585412246725948522012654225358688446982851634301<80>

6958857598665762860035952174597<31>
13841058792188415585609921019153214420081386935833<50>

Sun Jan 03 18:17:12 2010  
Sun Jan 03 18:17:12 2010  
Sun Jan 03 18:17:12 2010  Msieve v. 1.43
Sun Jan 03 18:17:12 2010  random seeds: 8ddadf64 b63e41da
Sun Jan 03 18:17:12 2010  factoring 96317957149599921732916339729762585412246725948522012654225358688446982851634301 (80 digits)
Sun Jan 03 18:17:14 2010  searching for 15-digit factors
Sun Jan 03 18:17:15 2010  commencing quadratic sieve (80-digit input)
Sun Jan 03 18:17:15 2010  using multiplier of 1
Sun Jan 03 18:17:15 2010  using 64kb Pentium 4 sieve core
Sun Jan 03 18:17:15 2010  sieve interval: 6 blocks of size 65536
Sun Jan 03 18:17:15 2010  processing polynomials in batches of 17
Sun Jan 03 18:17:15 2010  using a sieve bound of 1301081 (49938 primes)
Sun Jan 03 18:17:15 2010  using large prime bound of 130108100 (26 bits)
Sun Jan 03 18:17:15 2010  using trial factoring cutoff of 27 bits
Sun Jan 03 18:17:15 2010  polynomial 'A' values have 10 factors
Sun Jan 03 19:13:33 2010  50114 relations (25656 full + 24458 combined from 271671 partial), need 50034
Sun Jan 03 19:13:35 2010  begin with 297327 relations
Sun Jan 03 19:13:35 2010  reduce to 71535 relations in 2 passes
Sun Jan 03 19:13:35 2010  attempting to read 71535 relations
Sun Jan 03 19:13:37 2010  recovered 71535 relations
Sun Jan 03 19:13:37 2010  recovered 59473 polynomials
Sun Jan 03 19:13:37 2010  attempting to build 50114 cycles
Sun Jan 03 19:13:37 2010  found 50114 cycles in 1 passes
Sun Jan 03 19:13:37 2010  distribution of cycle lengths:
Sun Jan 03 19:13:37 2010     length 1 : 25656
Sun Jan 03 19:13:37 2010     length 2 : 24458
Sun Jan 03 19:13:37 2010  largest cycle: 2 relations
Sun Jan 03 19:13:38 2010  matrix is 49938 x 50114 (6.5 MB) with weight 1498594 (29.90/col)
Sun Jan 03 19:13:38 2010  sparse part has weight 1498594 (29.90/col)
Sun Jan 03 19:13:39 2010  filtering completed in 4 passes
Sun Jan 03 19:13:39 2010  matrix is 35256 x 35320 (5.0 MB) with weight 1181481 (33.45/col)
Sun Jan 03 19:13:39 2010  sparse part has weight 1181481 (33.45/col)
Sun Jan 03 19:13:39 2010  saving the first 48 matrix rows for later
Sun Jan 03 19:13:39 2010  matrix is 35208 x 35320 (3.2 MB) with weight 860366 (24.36/col)
Sun Jan 03 19:13:39 2010  sparse part has weight 613937 (17.38/col)
Sun Jan 03 19:13:39 2010  matrix includes 64 packed rows
Sun Jan 03 19:13:39 2010  using block size 10922 for processor cache size 256 kB
Sun Jan 03 19:13:40 2010  commencing Lanczos iteration
Sun Jan 03 19:13:40 2010  memory use: 4.1 MB
Sun Jan 03 19:13:54 2010  lanczos halted after 559 iterations (dim = 35208)
Sun Jan 03 19:13:54 2010  recovered 17 nontrivial dependencies
Sun Jan 03 19:13:54 2010  prp31 factor: 6958857598665762860035952174597
Sun Jan 03 19:13:54 2010  prp50 factor: 13841058792188415585609921019153214420081386935833
Sun Jan 03 19:13:54 2010  elapsed time 00:56:42

34437868707096691782322954456109202140957298340766268658092646708291053588692090526369911171337404353<101>

49351135163655458190418864110697253<35>
697813101824218812232039061252163296869260791440045958656813710701<66>

Number: 82227_145
N=34437868707096691782322954456109202140957298340766268658092646708291053588692090526369911171337404353
  ( 101 digits)
Divisors found:
 r1=49351135163655458190418864110697253 (pp35)
 r2=697813101824218812232039061252163296869260791440045958656813710701 (pp66)
Version: Msieve v. 1.43
Total time: 8.14 hours.
Scaled time: 17.45 units (timescale=2.144).
Factorization parameters were as follows:
name: 10000_156250L
n: 34437868707096691782322954456109202140957298340766268658092646708291053588692090526369911171337404353
skew: 27227.52
# norm 9.63e+013
c5: 1140
c4: 197617680
c3: -3581497436541
c2: -165760332235658692
c1: 1961694615305825086418
c0: -3613404846602954853160425
# alpha -5.41
Y1: 27304287043
Y0: -31333806962381258482
# Murphy_E 2.72e-009
# M 26992307217925568303187688805403996482022744440662966112818668874733152407381854175017335163565361072
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201010 x 201252
Total sieving time: 7.96 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 8.14 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

5103830162705177971911250281741295433589056132023612359404861420047501886576560973940949621614282353284171564778759993256457<124>

113779310512601635571262500613611086891<39>
1165709861990571049717479662219910188203<40>
38480654119933682619017915297832743224250720209<47>

Number: 82227_152
N=5103830162705177971911250281741295433589056132023612359404861420047501886576560973940949621614282353284171564778759993256457
  ( 124 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=113779310512601635571262500613611086891 (pp39)
 r2=1165709861990571049717479662219910188203 (pp40)
 r3=38480654119933682619017915297832743224250720209 (pp47)
Version: Msieve v. 1.42
Total time: 1.49 hours.
Scaled time: 1.19 units (timescale=0.796).
Factorization parameters were as follows:
name: 82227_152
n: 5103830162705177971911250281741295433589056132023612359404861420047501886576560973940949621614282353284171564778759993256457
m: 1000000000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 532309 x 532534
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 1.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.25 BogoMIPS (lpj=1860629)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860573)
Total of 2 processors activated (7442.40 BogoMIPS).

Total time: 18 hours.

8041196875042736408503841034030150957465320972168284790137108492684873932603290960565160323039648175551240712417<112>

125851200244059980676940779606461017298301111209<48>
63894479031178495642403247352432717173022586210911044402822856313<65>

Number: 113z
N=8041196875042736408503841034030150957465320972168284790137108492684873932603290960565160323039648175551240712417
  ( 112 digits)
Divisors found:
 r1=125851200244059980676940779606461017298301111209 (pp48)
 r2=63894479031178495642403247352432717173022586210911044402822856313 (pp65)
Version: Msieve-1.40
Total time: 19.63 hours.
Scaled time: 38.41 units (timescale=1.957).
Factorization parameters were as follows:
name: 113z
n: 8041196875042736408503841034030150957465320972168284790137108492684873932603290960565160323039648175551240712417
skew: 32173.32
# norm 6.97e+015
c5: 48300
c4: -6282477730
c3: -112557938009391
c2: -295622264365573626
c1: 36405912458295492119848
c0: 647364566757389765355077952
# alpha -6.59
Y1: 316161102037
Y0: -2781480355887648813569
# Murphy_E 7.58e-010
# M 6816619576540617112691648786621107251172642193024525915349804957975395280141458781660750921520922916834278352900
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394793 x 395018
Polynomial selection time: 1.84 hours.
Total sieving time: 17.21 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.63 hours.
 --------- CPU info (if available) ----------

95937341478291971676303795782541801138338720376723991810728844978351681394123513729297495044742165333038519886598625664371231414115233<134>

58349177591171284590174164067341489093587381113739823597<56>
1644193550601269975966781806855503918618642860910985484472710331231328804688389<79>

Number: 82227_162
N=95937341478291971676303795782541801138338720376723991810728844978351681394123513729297495044742165333038519886598625664371231414115233
  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=58349177591171284590174164067341489093587381113739823597 (pp56)
 r2=1644193550601269975966781806855503918618642860910985484472710331231328804688389 (pp79)
Version: Msieve-1.40
Total time: 51.84 hours.
Scaled time: 109.70 units (timescale=2.116).
Factorization parameters were as follows:
name: 82227_162
n: 95937341478291971676303795782541801138338720376723991810728844978351681394123513729297495044742165333038519886598625664371231414115233
m: 100000000000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 750402 x 750650
Total sieving time: 50.24 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 51.84 hours.
 --------- CPU info (if available) ----------

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

326757809591258734983271545460578885872432122560863102353386390082406019821623166996504487065929690195750241014277576514601928482846603591<138>

8408605499319598167330389699392390796093576699<46>
38859928631174229976817529653437263332765360477773189132360848251821702737334085223608476709<92>

Number: 82227_163
N=326757809591258734983271545460578885872432122560863102353386390082406019821623166996504487065929690195750241014277576514601928482846603591
  ( 138 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=8408605499319598167330389699392390796093576699 (pp46)
 r2=38859928631174229976817529653437263332765360477773189132360848251821702737334085223608476709 (pp92)
Version: Msieve-1.40
Total time: 58.24 hours.
Scaled time: 149.97 units (timescale=2.575).
Factorization parameters were as follows:
name: 82227_163
n: 326757809591258734983271545460578885872432122560863102353386390082406019821623166996504487065929690195750241014277576514601928482846603591
m: 100000000000000000000000000000000
deg: 5
c5: 74000
c0: 43
skew: 0.23
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 752930 x 753178
Total sieving time: 56.71 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.28 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 58.24 hours.
 --------- CPU info (if available) ----------

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

2664246766867932260425242593291686161775780374165087152409387677762667868861443421802697742926752729565863538882613325494002435357870086111515352979650321<154>

3860335632595937009232020302005389505439221614945451141967<58>
690159359298072752641851581531530239842409701152866289627616894497618512831304120901227357839263<96>

Number: 82227_164
N=2664246766867932260425242593291686161775780374165087152409387677762667868861443421802697742926752729565863538882613325494002435357870086111515352979650321
  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=3860335632595937009232020302005389505439221614945451141967 (pp58)
 r2=690159359298072752641851581531530239842409701152866289627616894497618512831304120901227357839263 (pp96)
Version: Msieve-1.40
Total time: 58.95 hours.
Scaled time: 173.38 units (timescale=2.941).
Factorization parameters were as follows:
name: 82227_164
n: 2664246766867932260425242593291686161775780374165087152409387677762667868861443421802697742926752729565863538882613325494002435357870086111515352979650321
m: 200000000000000000000000000000000
deg: 5
c5: 23125
c0: 43
skew: 0.28
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 840411 x 840659
Total sieving time: 57.02 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 58.95 hours.
 --------- CPU info (if available) ----------

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

2293718956105699827191331201909766473282868375280439534628933120388486858881034744268760406979208358706253270239879183071121534673<130>

3774504197635784843162844328968090673423<40>
607687483177897586003677182744414088821589110077082856671371722785292100032827707715678751<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3564957414
Step 1 took 19641ms
Step 2 took 15678ms
********** Factor found in step 2: 3774504197635784843162844328968090673423
Found probable prime factor of 40 digits: 3774504197635784843162844328968090673423
Probable prime cofactor 607687483177897586003677182744414088821589110077082856671371722785292100032827707715678751 has 90 digits

GMP-ECM 6.2.3

18708421638979593131774360558157163837662575868022096870740910886251052001094493229182033170082129212545594509270389506051908942875831775794027761123490271456417<161>

1552536427739122841742915184682819559001900487524932038441<58>
12050230387330546418305570327015959369376441029404519102964108012638023332321734860193118130218222590137<104>

Number: 82227_166
N=18708421638979593131774360558157163837662575868022096870740910886251052001094493229182033170082129212545594509270389506051908942875831775794027761123490271456417
  ( 161 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1552536427739122841742915184682819559001900487524932038441 (pp58)
 r2=12050230387330546418305570327015959369376441029404519102964108012638023332321734860193118130218222590137 (pp104)
Version: Msieve-1.40
Total time: 54.71 hours.
Scaled time: 131.36 units (timescale=2.401).
Factorization parameters were as follows:
name: 82227_166
n: 18708421638979593131774360558157163837662575868022096870740910886251052001094493229182033170082129212545594509270389506051908942875831775794027761123490271456417
m: 1000000000000000000000000000000000
deg: 5
c5: 740
c0: 43
skew: 0.57
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 826008 x 826256
Total sieving time: 52.57 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.56 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 54.71 hours.
 --------- CPU info (if available) ----------

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

4999339843993646007303635074411423441289080430957911865916500359428493025392029021936914443481947844861445977663554547150911310470702300410114590671019026103<157>

157322170761656561086031776135373867039076977719755601556992834657652319641<75>
31777719693225292446740279291009822572691632271039155718206894135590956414730059983<83>

Number: 82227_167
N=4999339843993646007303635074411423441289080430957911865916500359428493025392029021936914443481947844861445977663554547150911310470702300410114590671019026103
  ( 157 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=157322170761656561086031776135373867039076977719755601556992834657652319641 (pp75)
 r2=31777719693225292446740279291009822572691632271039155718206894135590956414730059983 (pp83)
Version: Msieve-1.40
Total time: 56.96 hours.
Scaled time: 125.53 units (timescale=2.204).
Factorization parameters were as follows:
name: 82227_167
n: 4999339843993646007303635074411423441289080430957911865916500359428493025392029021936914443481947844861445977663554547150911310470702300410114590671019026103
m: 1000000000000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 995614 x 995842
Total sieving time: 54.91 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 56.96 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Window 7 64bit,and Cygwin)

7963241545972335393931343713784825074672697689646366233247740302555113977771198197335544007071308113<100>

2204431640134991547359928355176564224047<40>
3612378538299647534271681056988204852126936053374802252017279<61>

Number: 82227_168
N=7963241545972335393931343713784825074672697689646366233247740302555113977771198197335544007071308113
  ( 100 digits)
Divisors found:
 r1=2204431640134991547359928355176564224047 (pp40)
 r2=3612378538299647534271681056988204852126936053374802252017279 (pp61)
Version: Msieve v. 1.45
Total time: 7.01 hours.
Scaled time: 12.46 units (timescale=1.776).
Factorization parameters were as follows:
name: 82227_168
n: 7963241545972335393931343713784825074672697689646366233247740302555113977771198197335544007071308113
skew: 1986.32
# norm 3.95e+13
c5: 352800
c4: 3219714657
c3: 718974614164
c2: -11162899932237698
c1: 3944033936613367196
c0: -12158816621108769679
# alpha -4.86
Y1: 23332896353
Y0: -7425227623116879210
# Murphy_E 3.33e-09
# M 5393087759962690758393411861975083914538210927775706467601123745646730031014899474785956699801354883
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153484 x 153710
Total sieving time: 6.89 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 7.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU         T7600  @ 2.33GHz stepping 06
CPU1: Intel(R) Core(TM)2 CPU         T7600  @ 2.33GHz stepping 06
Memory: 3068560k/3130276k available (4000k kernel code, 388k absent, 61328k reserved, 2017k data, 588k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4656.92 BogoMIPS (lpj=7758276)
Total of 2 processors activated (9313.88 BogoMIPS).

ggnfs-lasieve4I12e + msieve

Core 2 Duo T7600, 3 GB RAM, SimplyMEPIS Linux 8 x86_64

360233626600703005629558808909641829862680027703589579445653348197746806998165769718937355110515338585806095915754791830493890275317<132>

6065927690804450361465606177720849629<37>
59386403030618650886924018876104769742417165140948380722645830980659521616047031694315824775673<95>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3336052511
Step 1 took 5177ms
Step 2 took 3212ms
********** Factor found in step 2: 6065927690804450361465606177720849629
Found probable prime factor of 37 digits: 6065927690804450361465606177720849629
Probable prime cofactor has 95 digits

30739447779261044063139094360078524664965572651618423710260728170187216031055358188186324916425089914188001406212697031884802946500571480384980462452741011<155>

266482300749258438096924623227<30>
115352680807813782043998594673634779958782988258385031458760027853312141358766988047577902625086719681578572540021809527086793<126>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3574070702
Step 1 took 7757ms
Step 2 took 3804ms
********** Factor found in step 2: 266482300749258438096924623227
Found probable prime factor of 30 digits: 266482300749258438096924623227
Probable prime cofactor has 126 digits

28972126341828601706437981930342545784464342703637688673918927901075809153705972837046915399347849<98>

30500120411491329172076649994932300832543<41>
949902031564208670484766875156336430406092680674786739543<57>

Number: n
N=28972126341828601706437981930342545784464342703637688673918927901075809153705972837046915399347849
  ( 98 digits)
Divisors found:

Fri Apr  2 01:17:44 2010  prp41 factor: 30500120411491329172076649994932300832543
Fri Apr  2 01:17:44 2010  prp57 factor: 949902031564208670484766875156336430406092680674786739543
Fri Apr  2 01:17:44 2010  elapsed time 00:07:57 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.470).
Factorization parameters were as follows:
name: KA_8_2_175_7
n: 28972126341828601706437981930342545784464342703637688673918927901075809153705972837046915399347849
skew: 5322.76
# norm 6.30e+12
c5: 3540
c4: 150027785
c3: -469189764728
c2: -5193990202601910
c1: 11126271209961248158
c0: -92371803101675174868
# alpha -4.26
Y1: 8210437657
Y0: -6061644126688831525
# Murphy_E 4.22e-09
# M 10012732193397698321103872823053096060266212170643234605041816914230422043860899858303522515618578
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1200000)
Primes: RFBsize:135072, AFBsize:135194, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 552427 hash collisions in 5652149 relations
Msieve: matrix is 143902 x 144141 (41.1 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:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

153234492405867321380500392743110140813739306088327554498245840900606490317745034838514130434852383508586690466551050413851886227456314901420948210773290556226774400702851<171>

47278255071517142723711531605428482071771252525323687703<56>
3241119880039389954960574226792245518352372914979991830436406118199746997206442979707264043141489062646663225267317<115>

Number: 82227_177
N=153234492405867321380500392743110140813739306088327554498245840900606490317745034838514130434852383508586690466551050413851886227456314901420948210773290556226774400702851
  ( 171 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=47278255071517142723711531605428482071771252525323687703
 r2=3241119880039389954960574226792245518352372914979991830436406118199746997206442979707264043141489062646663225267317
Version: 
Total time: 181.58 hours.
Scaled time: 364.98 units (timescale=2.010).
Factorization parameters were as follows:
n: 153234492405867321380500392743110140813739306088327554498245840900606490317745034838514130434852383508586690466551050413851886227456314901420948210773290556226774400702851
m: 100000000000000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 9050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1372818 x 1373066
Total sieving time: 181.58 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 181.58 hours.
 --------- CPU info (if available) ----------

24883717198420873410740363216763784977983389778754736050386378938412025479927546863364108806741805517190079000236519429055540762127948820980148194511187<152>

250355682714459897656518357566511699<36>
99393458652990480614685611437805137340407848829713175425949394968454644932724468192755707380006062652185350169670913<116>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1773188228
Step 1 took 5993ms
Step 2 took 3548ms
********** Factor found in step 2: 250355682714459897656518357566511699
Found probable prime factor of 36 digits: 250355682714459897656518357566511699
Probable prime cofactor has 116 digits

650609106399821979281265086548155580331453688456884442239407094646128871420913583548803639753517619241922578043859318265402269412483272092553189712252297067766301560661781999<174>

7852710260061409052524705389654014059991575465049702874418100052087937476883<76>
82851535947887391551167297617482168529352552968027508417798465151743927543465347156067880170438453<98>

Number: 82227_179
N=650609106399821979281265086548155580331453688456884442239407094646128871420913583548803639753517619241922578043859318265402269412483272092553189712252297067766301560661781999
  ( 174 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=7852710260061409052524705389654014059991575465049702874418100052087937476883
 r2=82851535947887391551167297617482168529352552968027508417798465151743927543465347156067880170438453
Version: 
Total time: 231.12 hours.
Scaled time: 463.39 units (timescale=2.005).
Factorization parameters were as follows:
n: 650609106399821979281265086548155580331453688456884442239407094646128871420913583548803639753517619241922578043859318265402269412483272092553189712252297067766301560661781999
m: 200000000000000000000000000000000000
deg: 5
c5: 23125
c0: 43
skew: 0.28
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290216 x 1290464
Total sieving time: 231.12 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,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 231.12 hours.
 --------- CPU info (if available) ----------

1861178283298950579655173463199311645727027671369939641736762036208519271960375816161259931178154274023642849545441158232372585558177050318640009865250943799734802215476205477<175>

617761397196652073122334627383620146511193048830613841<54>
3012778544831090235564927979554755966253462521948625757652866524235151626680672473025692777414541939938159008580672766997<121>

Number: 2
N=1861178283298950579655173463199311645727027671369939641736762036208519271960375816161259931178154274023642849545441158232372585558177050318640009865250943799734802215476205477
  ( 175 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=617761397196652073122334627383620146511193048830613841 (pp54)
 r2=3012778544831090235564927979554755966253462521948625757652866524235151626680672473025692777414541939938159008580672766997 (pp121)
Version: Msieve-1.40
Total time: 148.70 hours.
Scaled time: 258.59 units (timescale=1.739).
Factorization parameters were as follows:
n: 1861178283298950579655173463199311645727027671369939641736762036208519271960375816161259931178154274023642849545441158232372585558177050318640009865250943799734802215476205477
m: 1000000000000000000000000000000000000
deg: 5
c5: 74
c0: 43
skew: 0.90
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1333643 x 1333869
Total sieving time: 145.81 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.45 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 148.70 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

38961223456586070191471483556110294721583574454223285591104624033709396270674116348907465401214847686757067189867080328632526359369863312318160635282919843325992384390859051<173>

4556876527368961035770272917453510049550217903154910745044852343064144142621671<79>
8549984451538653479168989815874580020915156579671456513985591965851736403399677581980446154781<94>

N=38961223456586070191471483556110294721583574454223285591104624033709396270674116348907465401214847686757067189867080328632526359369863312318160635282919843325992384390859051
  ( 173 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=4556876527368961035770272917453510049550217903154910745044852343064144142621671 (pp79)
 r2=8549984451538653479168989815874580020915156579671456513985591965851736403399677581980446154781 (pp94)
Version: Msieve v. 1.47
Total time:
Scaled time: 12.26 units (timescale=1.291).
Factorization parameters were as follows:
n: 38961223456586070191471483556110294721583574454223285591104624033709396270674116348907465401214847686757067189867080328632526359369863312318160635282919843325992384390859051
m: 1000000000000000000000000000000000000
deg: 5
c5: 740
c0: 43
skew: 0.57
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 10300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1598762 x 1598988
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time:

7393837732814412713373866434253397664336977761449911331939275210057630288498737776169660920262148958598361648696284305039502018450510723321337185295935537<154>

14959820083372637054260295471064095399<38>
494246434222322470296690753287208998819442803417769805869494614262157259003186497543207731823046037344939540994914663<117>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4055313798
Step 1 took 6317ms
Step 2 took 3532ms
********** Factor found in step 2: 14959820083372637054260295471064095399
Found probable prime factor of 38 digits: 14959820083372637054260295471064095399
Probable prime cofactor has 117 digits

606658272917915792668685056610287934157817166511338437994308341383209944021694721364569025893490294958254266837<111>

18960662780710917297230895135902845332869167551697<50>
31995625887882045270427044298929574896285841199621725679879621<62>

Number: 111z
N=606658272917915792668685056610287934157817166511338437994308341383209944021694721364569025893490294958254266837
  ( 111 digits)
Divisors found:
 r1=18960662780710917297230895135902845332869167551697 (pp50)
 r2=31995625887882045270427044298929574896285841199621725679879621 (pp62)
Version: Msieve-1.40
Total time: 15.20 hours.
Scaled time: 29.40 units (timescale=1.934).
Factorization parameters were as follows:
name: 111z
n: 606658272917915792668685056610287934157817166511338437994308341383209944021694721364569025893490294958254266837
skew: 18523.99
# norm 7.77e+015
c5: 184800
c4: 7198646318
c3: -393665777789098
c2: 2137614748322433195
c1: 45320075018073996263136
c0: 89133757653328320488583105
# alpha -6.69
Y1: 767455101797
Y0: -1268371235327930259104
# Murphy_E 8.56e-010
# M 561295893789363672053872805466731944275947882880078495284564606176385724415555866424943934760636763271238720073
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355248 x 355474
Total sieving time: 14.85 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 15.20 hours.
 --------- CPU info (if available) ----------

83080119582760263476899057683907613834980480794456146292608820012717891720524171123695680110497320394787598361816929763960344925980185969473277880556729<152>

43797883809430231474763186290037<32>
1896898031517953749986023746276536087451844295987395947746575518377672737063335004775440448285872102993169131897926395317<121>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1787594166
Step 1 took 6040ms
Step 2 took 3589ms
********** Factor found in step 2: 43797883809430231474763186290037
Found probable prime factor of 32 digits: 43797883809430231474763186290037
Probable prime cofactor has 121 digits

104941052726140843914256540667919670405951716025429565225644522404912860289206772471529835362153251835659320698362059665882009584238393789988882242295439611<156>

26678935158997325908237571708021217973<38>
3933479807223491981657869399590710616078743039357004333788392693626467623095478885093917936995267674316603123746810607<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=357088476
Step 1 took 24492ms
Step 2 took 13276ms
********** Factor found in step 2: 26678935158997325908237571708021217973
Found probable prime factor of 38 digits: 26678935158997325908237571708021217973
Probable prime cofactor 3933479807223491981657869399590710616078743039357004333788392693626467623095478885093917936995267674316603123746810607 has 118 digits

GMP-ECM 6.3

583136327817178881008668242710795902285263987391646966115051221434200157604412923561859732072498029944838455476753349093774625689519306540583136327817178881008668242710795902285263987391647<189>

3852230524592113531094906143469991083495353258933863276711973302616340237<73>
151376280337979829873165345713902240812826245485415537958497805070096422614844257189148741585827601897450847868163931<117>

Number: n
N=583136327817178881008668242710795902285263987391646966115051221434200157604412923561859732072498029944838455476753349093774625689519306540583136327817178881008668242710795902285263987391647
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Apr  6 13:42:51 2010  prp73 factor: 3852230524592113531094906143469991083495353258933863276711973302616340237
Tue Apr  6 13:42:51 2010  prp117 factor: 151376280337979829873165345713902240812826245485415537958497805070096422614844257189148741585827601897450847868163931
Tue Apr  6 13:42:51 2010  elapsed time 02:23:50 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_8_2_189_7
n: 583136327817178881008668242710795902285263987391646966115051221434200157604412923561859732072498029944838455476753349093774625689519306540583136327817178881008668242710795902285263987391647
m: 100000000000000000000000000000000000000
deg: 5
c5: 74
c0: 43
skew: 0.90
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3992909 hash collisions in 31611423 relations
Msieve: matrix is 1354769 x 1354994 (381.7 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,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

7243903656845516173712561848909043538626972738911595989603109341874342314410358120710822279948159967041400991461275630551313102455608983477078171594997<151>

37392111702981617743128229083008003<35>
18028337750443986377724808413747859087431707<44>
10745756308471247313541565335481833914391462022861302374432010583840589157<74>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4095843173
Step 1 took 12792ms
Step 2 took 8158ms
********** Factor found in step 2: 37392111702981617743128229083008003
Found probable prime factor of 35 digits: 37392111702981617743128229083008003
Composite cofactor 193728124113083802151619146619632958158338623034072169176551567043905560609146433659911654903834457794614188882200999 has 117 digits

N = 193728124113083802151619146619632958158338623034072169176551567043905560609146433659911654903834457794614188882200999 (117 digits)
Divisors found:
r1=18028337750443986377724808413747859087431707 (pp44)
r2=10745756308471247313541565335481833914391462022861302374432010583840589157 (pp74)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 6.04 hours.
Factorization parameters were as follows:
n: 193728124113083802151619146619632958158338623034072169176551567043905560609146433659911654903834457794614188882200999
Y0: -26395327274730504232299
Y1: 3041098170991
c0: -15010134077137961681041626280
c1: 1918321339893280668215036
c2: -27137389947802971134
c3: -658178636795783
c4: 1700189646
c5: 15120
skew: 95974.01  
type: gnfs
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9486110
Relations: 1102948 relations
Pruned matrix : 606518 x 606744
Polynomial selection time: 0.00 hours.
Total sieving time: 5.68 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 6.04 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

32173741440644396085056209347824341112481703756567394023456882480697717780048875654165470206667864100373232832021850797111763566956053973079072349092289692855290389<164>

378563089936300465090367930299578654452582961573887<51>
8361217119019896913952207550657462900838931334122908327<55>
10164682049433679805181814849792896348079311664866376869661<59>

found factor: 10164682049433679805181814849792896348079311664866376869661
found factor: 10164682049433679805181814849792896348079311664866376869661
p51 factor: 378563089936300465090367930299578654452582961573887
p55 factor: 8361217119019896913952207550657462900838931334122908327
p59 factor: 10164682049433679805181814849792896348079311664866376869661


Msieve v. 1.54 (SVN 1034)
random seeds: 10f9d75a 2a0cce7f
factoring 32173741440644396085056209347824341112481703756567394023456882480697717780048875654165470206667864100373232832021850797111763566956053973079072349092289692855290389 (164 digits)
searching for 15-digit factors
commencing number field sieve (164-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 7400
skew 1.00, size 8.420e-14, alpha 0.335, combined = 1.849e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 614737 hash collisions in 36766293 relations
added 726620 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37492913 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1236.3 MB
keeping 40205440 ideals with weight <= 200, target excess is 197335
commencing in-memory singleton removal
begin with 37492913 relations and 40205440 unique ideals
reduce to 14275256 relations and 12990007 ideals in 14 passes
max relations containing the same ideal: 108
removing 2119405 relations and 1719405 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12155851 relations and 12990007 unique ideals
reduce to 11886218 relations and 10991302 ideals in 9 passes
max relations containing the same ideal: 95
removing 1709571 relations and 1309571 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10176647 relations and 10991302 unique ideals
reduce to 9965116 relations and 9462902 ideals in 9 passes
max relations containing the same ideal: 87
removing 1208914 relations and 935609 ideals in 273305 cliques
commencing in-memory singleton removal
begin with 8756202 relations and 9462902 unique ideals
reduce to 8630185 relations and 8397984 ideals in 8 passes
max relations containing the same ideal: 79
relations with 0 large ideals: 4129
relations with 1 large ideals: 8575
relations with 2 large ideals: 76036
relations with 3 large ideals: 375891
relations with 4 large ideals: 1106996
relations with 5 large ideals: 2024152
relations with 6 large ideals: 2425741
relations with 7+ large ideals: 2608665
commencing 2-way merge
reduce to 5347386 relation sets and 5115185 unique ideals
commencing full merge
memory use: 604.5 MB
found 2510008 cycles, need 2485385
weight of 2485385 cycles is about 223827603 (90.06/cycle)
distribution of cycle lengths:
1 relations: 215170
2 relations: 217790
3 relations: 226925
4 relations: 217121
5 relations: 210360
6 relations: 194041
7 relations: 179371
8 relations: 161356
9 relations: 145155
10+ relations: 718096
heaviest cycle: 27 relations
commencing cycle optimization
start with 18065874 relations
pruned 607959 relations
memory use: 536.1 MB
distribution of cycle lengths:
1 relations: 215170
2 relations: 222978
3 relations: 235671
4 relations: 224340
5 relations: 218267
6 relations: 200351
7 relations: 184606
8 relations: 165017
9 relations: 147174
10+ relations: 671811
heaviest cycle: 26 relations
RelProcTime: 965
elapsed time 00:16:07


Msieve v. 1.54 (SVN 1034)
random seeds: eb140f41 af4b7ee7
factoring 32173741440644396085056209347824341112481703756567394023456882480697717780048875654165470206667864100373232832021850797111763566956053973079072349092289692855290389 (164 digits)
searching for 15-digit factors
commencing number field sieve (164-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 7400
skew 1.00, size 8.420e-14, alpha 0.335, combined = 1.849e-11 rroots = 1

commencing linear algebra
read 2485385 cycles
cycles contain 8436571 unique relations
read 8436571 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1033.3 MB
read 2485385 cycles
matrix is 2485208 x 2485385 (913.0 MB) with weight 265348440 (106.76/col)
sparse part has weight 212005940 (85.30/col)
filtering completed in 2 passes
matrix is 2484363 x 2484540 (912.9 MB) with weight 265316337 (106.79/col)
sparse part has weight 211992919 (85.32/col)
matrix starts at (0, 0)
matrix is 2484363 x 2484540 (912.9 MB) with weight 265316337 (106.79/col)
sparse part has weight 211992919 (85.32/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2484315 x 2484540 (865.9 MB) with weight 218666901 (88.01/col)
sparse part has weight 202155172 (81.37/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 821.3 MB
linear algebra at 0.1%, ETA 2h43m
checkpointing every 920000 dimensions
lanczos halted after 39287 iterations (dim = 2484312)
recovered 38 nontrivial dependencies
BLanczosTime: 10699
elapsed time 02:58:20


Msieve v. 1.54 (SVN 1034)
random seeds: 4cba4a18 e025d97a
factoring 32173741440644396085056209347824341112481703756567394023456882480697717780048875654165470206667864100373232832021850797111763566956053973079072349092289692855290389 (164 digits)
searching for 15-digit factors
commencing number field sieve (164-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 7400
skew 1.00, size 8.420e-14, alpha 0.335, combined = 1.849e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1241617 cycles
cycles contain 4219276 unique relations
read 4219276 relations
multiplying 4219276 relations
multiply complete, coefficients have about 145.55 million bits
initial square root is modulo 167261
GCD is 1, no factor found
reading relations for dependency 2
read 1241031 cycles
cycles contain 4217944 unique relations
read 4217944 relations
multiplying 4217944 relations
multiply complete, coefficients have about 145.50 million bits
initial square root is modulo 166741
found factor: 10164682049433679805181814849792896348079311664866376869661
reading relations for dependency 3
read 1243097 cycles
cycles contain 4218530 unique relations
read 4218530 relations
multiplying 4218530 relations
multiply complete, coefficients have about 145.52 million bits
initial square root is modulo 166871
found factor: 10164682049433679805181814849792896348079311664866376869661
reading relations for dependency 4
read 1242424 cycles
cycles contain 4216042 unique relations
read 4216042 relations
multiplying 4216042 relations
multiply complete, coefficients have about 145.43 million bits
initial square root is modulo 165811
sqrtTime: 1181
p51 factor: 378563089936300465090367930299578654452582961573887
p55 factor: 8361217119019896913952207550657462900838931334122908327
p59 factor: 10164682049433679805181814849792896348079311664866376869661
elapsed time 00:19:41

CADO-NFS/Msieve

587469410107593745112177601014138725607144870096016823639036853558855498093767389613040480013398786371031904536493316301893346532386455949305808312780733882964743756339563507794261393807<186>

41181957693031964231314021237550922319558776524566796789574514663291<68>
14265213287978154121379807465828396741896134838900103859165795197832543266186641122632377405804447967386402085364244477<119>

Number: n
N=587469410107593745112177601014138725607144870096016823639036853558855498093767389613040480013398786371031904536493316301893346532386455949305808312780733882964743756339563507794261393807
  ( 186 digits)
SNFS difficulty: 195 digits.
Divisors found:

Tue Jan 31 04:58:44 2012  prp68 factor: 41181957693031964231314021237550922319558776524566796789574514663291
Tue Jan 31 04:58:44 2012  prp119 factor: 14265213287978154121379807465828396741896134838900103859165795197832543266186641122632377405804447967386402085364244477
Tue Jan 31 04:58:44 2012  elapsed time 04:26:01 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_82227_194
n: 587469410107593745112177601014138725607144870096016823639036853558855498093767389613040480013398786371031904536493316301893346532386455949305808312780733882964743756339563507794261393807
m: 200000000000000000000000000000000000000
deg: 5
c5: 23125
c0: 43
skew: 0.28
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, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10080864 hash collisions in 76062882 relations
Msieve: matrix is 1702557 x 1702782 (477.2 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,195,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

51972631323091923396065408352357753844562226150824888988941169716443959230389960199330622228489239999708014600198661801570697384185918969570737824297654297307<158>

756264766892173973230456237696583<33>

68722798678920909885646836017455589217504734918690258156215977537523065404257034921378693496733231213268188241440994586010829<125>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1439851700
Step 1 took 7160ms
Step 2 took 3857ms
********** Factor found in step 2: 756264766892173973230456237696583
Found probable prime factor of 33 digits: 756264766892173973230456237696583
Composite cofactor has 125 digits

68722798678920909885646836017455589217504734918690258156215977537523065404257034921378693496733231213268188241440994586010829<125>

595016930365620391281978586123309386919385453348359<51>
115497215577870654426734941556536631927923425710193392911783696320364456331<75>

Number: ggg125
N=68722798678920909885646836017455589217504734918690258156215977537523065404257034921378693496733231213268188241440994586010829
  ( 125 digits)
Divisors found:
 r1=595016930365620391281978586123309386919385453348359 (pp51)
 r2=115497215577870654426734941556536631927923425710193392911783696320364456331 (pp75)
Version: Msieve-1.40
Total time: 65.39 hours.
Scaled time: 123.12 units (timescale=1.883).
Factorization parameters were as follows:
name: ggg125
n: 68722798678920909885646836017455589217504734918690258156215977537523065404257034921378693496733231213268188241440994586010829
skew: 48348.46
# norm 4.16e+017
c5: 905280
c4: -100466222560
c3: -7185743239315378
c2: -235063814188473520767
c1: 1211030183933861458713210
c0: -10877740668118381550559599736
# alpha -6.85
Y1: 61634753909861
Y0: -597124069220782245782351
# Murphy_E 1.51e-010
# M 42845109112250375926039406622447870222091059209375017548282070437254541933311569827483353615281886169507792840555700217110878
type: gnfs
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2750000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 790393 x 790624
Total sieving time: 64.21 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 65.39 hours.
 --------- CPU info (if available) ----------

53084079305085053299267192017662336342402058666923232766596522406312729392121501025772628224083632320185314929493400177040963022562193380848049094447152442058630534367180197<173>

3428544226631503964328330858659329687710744258984077339819<58>
15482979304379400614136367882535713254429217384866881383070169156811920900001476816630066811595528626428990095476463<116>

Number: n
N=53084079305085053299267192017662336342402058666923232766596522406312729392121501025772628224083632320185314929493400177040963022562193380848049094447152442058630534367180197  ( 173 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Mar 21 11:55:25 2021  p58 factor: 3428544226631503964328330858659329687710744258984077339819
Sun Mar 21 11:55:25 2021  p116 factor: 15482979304379400614136367882535713254429217384866881383070169156811920900001476816630066811595528626428990095476463
Sun Mar 21 11:55:25 2021  elapsed time 01:37:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 74x10^197+43 = 82(196)7
#
n: 53084079305085053299267192017662336342402058666923232766596522406312729392121501025772628224083632320185314929493400177040963022562193380848049094447152442058630534367180197
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7400
c0: 43
skew: 0.36
# Murphy_E = 1.317e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3993230 hash collisions in 28216437 relations (25631962 unique)
Msieve: matrix is 2002258 x 2002483 (695.5 MB)

Sieving start time : 2021/03/21 02:34:11
Sieving end time  : 2021/03/21 10:17:37

Total sieving time: 7hrs 43min 26secs.

Total relation processing time: 1hrs 18min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 20sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

26849336239301407465907470900894923475568624802019386317537624432908275005655023025484899705286440818980187323631045286284980355118545321979673892706855217965009307847491728065993<179>

4028051912755010856347442206508554844304838453449<49>
6665588433525832830590274181237002035950624475907762835611567526826723899275747496613566912026665955340727628447153744186693350657<130>

Number: n
N=26849336239301407465907470900894923475568624802019386317537624432908275005655023025484899705286440818980187323631045286284980355118545321979673892706855217965009307847491728065993  ( 179 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sun Apr  4 17:24:34 2021  p49 factor: 4028051912755010856347442206508554844304838453449
Sun Apr  4 17:24:34 2021  p130 factor: 6665588433525832830590274181237002035950624475907762835611567526826723899275747496613566912026665955340727628447153744186693350657
Sun Apr  4 17:24:34 2021  elapsed time 01:57:17 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 74x10^198+43 = 82(197)7
#
n: 26849336239301407465907470900894923475568624802019386317537624432908275005655023025484899705286440818980187323631045286284980355118545321979673892706855217965009307847491728065993
m: 1000000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 43
skew: 0.23
# Murphy_E = 1.185e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 34700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4472583 hash collisions in 29513437 relations (26428579 unique)
Msieve: matrix is 2118524 x 2118749 (739.9 MB)

Sieving start time : 2021/04/04 03:20:26
Sieving end time  : 2021/04/04 14:01:16

Total sieving time: 10hrs 40min 50secs.

Total relation processing time: 1hrs 27min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 49sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

2918325757812523490694864259816207081531727964760798076531239746398750083034891642408887685836959229065604699542844293637319134043774697459489358654277<151>

44765598701390709875322141605659640646636507070061626703<56>
65191259415053045240332336919437107821515353916462772845310300303952631879847493224557023119659<95>

2918325757812523490694864259816207081531727964760798076531239746398750083034891642408887685836959229065604699542844293637319134043774697459489358654277=44765598701390709875322141605659640646636507070061626703 65191259415053045240332336919437107821515353916462772845310300303952631879847493224557023119659

cado polynomial
n: 2918325757812523490694864259816207081531727964760798076531239746398750083034891642408887685836959229065604699542844293637319134043774697459489358654277
skew: 1.42
type: snfs
c0: 215
c5: 37
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+215
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 44765598701390709875322141605659640646636507070061626703 65191259415053045240332336919437107821515353916462772845310300303952631879847493224557023119659
Info:Square Root: Total cpu/real time for sqrt: 1966.81/594.006
Info:Square Root: Total cpu/real time for sqrt: 1966.81/594.006
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 215.75/261.173
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 260.40000000000003s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.73/3.02218
Info:Filtering - Singleton removal: Total cpu/real time for purge: 727.07/854.647
Info:Filtering - Merging: Merged matrix has 3826894 rows and total weight 654048062 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1112.38/305.776
Info:Filtering - Merging: Total cpu/real time for replay: 154.55/134.608
Info:Linear Algebra: Total cpu/real time for bwc: 276568/70729.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 178385.59, WCT time 45488.69, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (119808 iterations)
Info:Linear Algebra: Lingen CPU time 848.35, WCT time 215.35
Info:Linear Algebra: Mksol: CPU time 95763.83,  WCT time 24447.85, iteration CPU time 0.39, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59904 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50374115
Info:Lattice Sieving: Average J: 1893.97 for 5620622 special-q, max bucket fill -bkmult 1.0,1s:1.114090
Info:Lattice Sieving: Total time: 1.48473e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 138.13/59.6423
Info:Generate Free Relations: Total cpu/real time for freerel: 232.75/60.575
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 975.94/977.784
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 793s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.07017e+06/151718
44765598701390709875322141605659640646636507070061626703 65191259415053045240332336919437107821515353916462772845310300303952631879847493224557023119659

cado-nfs-3.0.0

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

822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<201>

980510462185560023987982761658988392653<39>
1650987817901489015808098379119500846358911152586109619791022294263174957<73>
507917421727580051675124043192375761771927175151369875523276622003964424156854967422720187<90>

Number: n
N=822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Apr  1 07:29:33 2010  prp39 factor: 980510462185560023987982761658988392653
Thu Apr  1 07:29:33 2010  prp73 factor: 1650987817901489015808098379119500846358911152586109619791022294263174957
Thu Apr  1 07:29:33 2010  prp90 factor: 507917421727580051675124043192375761771927175151369875523276622003964424156854967422720187
Thu Apr  1 07:29:33 2010  elapsed time 08:29:48 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.074).
Factorization parameters were as follows:
name: KA_8_2_199_7
n: 822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 10000000000000000000000000000000000000000
deg: 5
c5: 74
c0: 43
skew: 0.90
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5259456 hash collisions in 44724533 relations
Msieve: matrix is 2433903 x 2434128 (692.9 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,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

1142143119666402378322668021886005325626025495889717389529542739669459391436900107347895249127218279954593840649464259529219987818255828046138628183463866452340688112831<169>

7450624314755567230493661340775799156027002899248269039758571393679863<70>
153294955082414820259906295064755997415720176140590508562656429600442484480959427056414785676073337<99>

Number: n
N=1142143119666402378322668021886005325626025495889717389529542739669459391436900107347895249127218279954593840649464259529219987818255828046138628183463866452340688112831  ( 169 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Jan 26 10:10:28 2022  p70 factor: 7450624314755567230493661340775799156027002899248269039758571393679863
Wed Jan 26 10:10:28 2022  p99 factor: 153294955082414820259906295064755997415720176140590508562656429600442484480959427056414785676073337
Wed Jan 26 10:10:28 2022  elapsed time 01:36:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 74x10^201+43 = 82(200)7
#
n: 1142143119666402378322668021886005325626025495889717389529542739669459391436900107347895249127218279954593840649464259529219987818255828046138628183463866452340688112831
m: 10000000000000000000000000000000000000000
deg: 5
c5: 740
c0: 43
skew: 0.57
# Murphy_E = 1.131e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 42800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6432887 hash collisions in 40778603 relations (35445683 unique)
Msieve: matrix is 1966234 x 1966460 (673.9 MB)

Sieving start time : 2022/01/25 17:25:06
Sieving end time  : 2022/01/26 08:33:05

Total sieving time: 15hrs 7min 59secs.

Total relation processing time: 1hrs 16min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 38sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

55275293742029568063956894350594925035782509646059463193356464327991821977730820074980430176196985214741719397682244897599443858870849895133702956179<149>

20481350269600162916593317866449<32>
26170438716286387629150725570767<32>
103124408644338926215525759331945416507865568878122553431443216962911847604256059650413<87>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=229629914
Step 1 took 6521ms
Step 2 took 5179ms
********** Factor found in step 2: 26170438716286387629150725570767
Found probable prime factor of 32 digits: 26170438716286387629150725570767
Composite cofactor 2112127134790088437635477273835262285044699460347599030782920748628016028048290584454312137264580644087970717961693437 has 118 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3258289731
Step 1 took 4461ms
Step 2 took 3510ms
********** Factor found in step 2: 20481350269600162916593317866449
Found probable prime factor of 32 digits: 20481350269600162916593317866449
Probable prime cofactor 103124408644338926215525759331945416507865568878122553431443216962911847604256059650413 has 87 digits

GMP-ECM 6.3

10594823468221123745845852670904957049438887121449811047804198784858105327616476685768513063732191984764757239843772690744951044915802859619719561734877715297143801200933<170>

2802937115114486958357269633<28>

3779900523308163633931276851764519167325656095427135018244134114748626604584153644685953913623091599617742964980199957050286321608958763496101<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1708342977
Step 1 took 7753ms
Step 2 took 5850ms
********** Factor found in step 2: 2802937115114486958357269633
Found probable prime factor of 28 digits: 2802937115114486958357269633
Composite cofactor 3779900523308163633931276851764519167325656095427135018244134114748626604584153644685953913623091599617742964980199957050286321608958763496101 has 142 digits

GMP-ECM 6.3

3779900523308163633931276851764519167325656095427135018244134114748626604584153644685953913623091599617742964980199957050286321608958763496101<142>

300722043536276564798331569471909347<36>
20413336432386504241110945864490631965677277<44>
615745311091401323048759720409494807749323151288911289077901379<63>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2282826071
Step 1 took 6661ms
Step 2 took 5086ms
********** Factor found in step 2: 300722043536276564798331569471909347
Found probable prime factor of 36 digits: 300722043536276564798331569471909347
Composite cofactor 12569416191973264483905253458885719634566066631509867259359775167323205626994259035206420218787793547264983 has 107 digits

N = 12569416191973264483905253458885719634566066631509867259359775167323205626994259035206420218787793547264983 (107 digits)
Divisors found:
r1=20413336432386504241110945864490631965677277 (pp44)
r2=615745311091401323048759720409494807749323151288911289077901379 (pp63)
Version: Msieve v. 1.48
Total time: 3.13 hours.
Factorization parameters were as follows:
n: 12569416191973264483905253458885719634566066631509867259359775167323205626994259035206420218787793547264983
Y0: -495695482214213031745
Y1: 98641314053
c0: 2251443950459529595687360296
c1: 3838611054231817971654
c2: -513049936393612449
c3: -8790162720236
c4: -43675690
c5: 420
skew: 110673.85 
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5256797
Relations: 411668 relations
Pruned matrix : 259870 x 260096
Polynomial selection time: 0.00 hours.
Total sieving time: 3.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,106,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 3.13 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

18277824373589227650690606834101519434382224368128283596153372609076772393695023007684956786846090307504029839473618224317950640903198170186225562013220636698129590562163249412523<179>

8141012931146425595869460211849133<34>

2245153585699479550315199632926387476646326153871416921802987165097000880264691700318318708963733811697819875781609476138870349023948617909051831<145>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1668815120
Step 1 took 10436ms
Step 2 took 6303ms
********** Factor found in step 2: 8141012931146425595869460211849133
Found probable prime factor of 34 digits: 8141012931146425595869460211849133
Composite cofactor 2245153585699479550315199632926387476646326153871416921802987165097000880264691700318318708963733811697819875781609476138870349023948617909051831 has 145 digits

GMP-ECM 6.3

2245153585699479550315199632926387476646326153871416921802987165097000880264691700318318708963733811697819875781609476138870349023948617909051831<145>

11308929324793437262657515844815290607164569672959440641<56>
198529279051842363657072203771283299285094856462292010305933855716115251545954650599313591<90>

2245153585699479550315199632926387476646326153871416921802987165097000880264691700318318708963733811697819875781609476138870349023948617909051831=11308929324793437262657515844815290607164569672959440641*198529279051842363657072203771283299285094856462292010305933855716115251545954650599313591

n: 2245153585699479550315199632926387476646326153871416921802987165097000880264691700318318708963733811697819875781609476138870349023948617909051831
skew: 885119.011
c0: -2982699654536604903864576625614924
c1: 38404234481920611372455187096
c2: 31163099472128794503797
c3: -69690345423674921
c4: -17454372678
c5: 19680
Y0: -11802463467625974576736772783
Y1: 48518757668607210991
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.97e-07
# found by revision 7f9c8bd19
# f(x) = 19680*x^5-17454372678*x^4-69690345423674921*x^3+31163099472128794503797*x^2+38404234481920611372455187096*x-2982699654536604903864576625614924
# g(x) = 48518757668607210991*x-11802463467625974576736772783

Info:Square Root: Factors: 11308929324793437262657515844815290607164569672959440641 198529279051842363657072203771283299285094856462292010305933855716115251545954650599313591
Info:Square Root: Total cpu/real time for sqrt: 1476/442.887
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: 18.08/4.85175
Info:Generate Free Relations: Total cpu/real time for freerel: 468.21/119.25
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48223507
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.45/99.8279
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 546.2/184.284
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 238.36/103.176
Info:Filtering - Merging: Total cpu/real time for merge: 469.67/136.634
Info:Filtering - Merging: Total cpu/real time for replay: 141.41/123.955
Info:Linear Algebra: Total cpu/real time for bwc: 62917.2/16114.6
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: WCT time 16044.25, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 136.73/57.0491
Info:Square Root: Total cpu/real time for sqrt: 1476/442.887
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56339.5/53415.9
11308929324793437262657515844815290607164569672959440641 198529279051842363657072203771283299285094856462292010305933855716115251545954650599313591

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

3386694875821271791156147013440606618928090293971842844891063458208965545171354106376918993421011110844294474272759563240295745052209265322587240653599708601450300822485852619908483541145736359158479<199>

12414585716483640108425499967239427576287707160567711601805647777274518218836534335146337<89>
272799669128269034668487238095080590628798935335073201882358878000895223115571358899895296108879120306123614767<111>

Number: n
N=3386694875821271791156147013440606618928090293971842844891063458208965545171354106376918993421011110844294474272759563240295745052209265322587240653599708601450300822485852619908483541145736359158479
  ( 199 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Apr 14 13:24:14 2021  p89 factor: 12414585716483640108425499967239427576287707160567711601805647777274518218836534335146337
Wed Apr 14 13:24:14 2021  p111 factor: 272799669128269034668487238095080590628798935335073201882358878000895223115571358899895296108879120306123614767
Wed Apr 14 13:24:14 2021  elapsed time 02:38:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 74x10^205+43 = 82(204)7
#
n: 3386694875821271791156147013440606618928090293971842844891063458208965545171354106376918993421011110844294474272759563240295745052209265322587240653599708601450300822485852619908483541145736359158479
m: 100000000000000000000000000000000000000000
deg: 5
c5: 74
c0: 43
skew: 0.90
# Murphy_E = 8.193e-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, 29800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6109505 hash collisions in 47521216 relations (43191835 unique)
Msieve: matrix is 2646088 x 2646313 (927.0 MB)

Sieving start time : 2021/04/13 23:47:29
Sieving end time  : 2021/04/14 10:25:12

Total sieving time: 10hrs 37min 43secs.

Total relation processing time: 2hrs 21min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

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) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

3081352651404083231397503136058111939196737442493064201013912344280601054028058050223867119888170916648752452689566177780129432809408818380161634360372614668022033775105322288811044177177659198416813<199>

1294297385224878467689518251047<31>
2380714576556694337611856817402830548070522698240954799095025260471804391127236887730018477015810510953397635143134572483100420285921259534415659870892052203394316410379<169>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2808422934
Step 1 took 12043ms
Step 2 took 7004ms
********** Factor found in step 2: 1294297385224878467689518251047
Found probable prime factor of 31 digits: 1294297385224878467689518251047
Probable prime cofactor 2380714576556694337611856817402830548070522698240954799095025260471804391127236887730018477015810510953397635143134572483100420285921259534415659870892052203394316410379 has 169 digits

GMP-ECM 6.3

903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589<177>

2567446726440141563222555723131919448871004650483<49>
351987394173947904561674762862290592251499863278025057589062352199334615904275551629164760994258715621132749173268658845693647583<129>

10/08/24 14:04:20 v1.34.5 @ RYZEN-9,
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, ****************************
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, Starting factorization of 74000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, ****************************
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C208
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C208
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C208
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C208
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, prp9 = 152793929
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.54
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C200 input, B1=2K, B2=gmp-ecm default
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/08/24 14:04:20 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.54
10/08/24 14:04:23 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C200 input, B1=11K, B2=gmp-ecm default
10/08/24 14:04:23 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/08/24 14:04:23 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.54
10/08/24 14:04:41 v1.34.5 @ RYZEN-9, prp23 = 59546269750160032068167 (curve 127 stg2 B1=50000 sigma=3405232478 thread=0)
10/08/24 14:04:41 v1.34.5 @ RYZEN-9, Finished 127 curves using Lenstra ECM method on C200 input, B1=50K, B2=gmp-ecm default
10/08/24 14:04:41 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 23.21
10/08/24 14:04:41 v1.34.5 @ RYZEN-9, scheduled 87 curves at B1=50000 toward target pretesting depth of 54.46
10/08/24 14:05:14 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 74000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000043
10/08/24 14:05:14 v1.34.5 @ RYZEN-9, nfs: input divides 74*10^207 + 43
10/08/24 14:05:14 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589
10/08/24 14:05:14 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c177: 903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589
10/08/24 14:05:14 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589
# 74*10^207+43, difficulty: 211.87, anorm: 3.57e+039, rnorm: 1.86e+040
# scaled difficulty: 211.87, suggest sieving algebraic side
# size = 1.976e-010, alpha = -3.362, combined = 5.433e-012, rroots = 0
type: snfs
size: 211
skew: 0.2889
c6: 74000
c0: 43
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589
# 74*10^207+43, difficulty: 210.87, anorm: 1.13e+033, rnorm: 1.67e+047
# scaled difficulty: 213.23, suggest sieving rational side
# size = 8.420e-015, alpha = 0.335, combined = 4.442e-012, rroots = 1
type: snfs
size: 210
skew: 0.3571
c5: 7400
c0: 43
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589
# 74*10^207+43, difficulty: 209.77, anorm: 7.98e+032, rnorm: 2.37e+047
# scaled difficulty: 212.18, suggest sieving rational side
# size = 7.796e-015, alpha = 0.566, combined = 4.218e-012, rroots = 1
type: snfs
size: 209
skew: 0.7143
c5: 925
c0: 172
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/08/24 14:05:17 v1.34.5 @ RYZEN-9, test: fb generation took 2.7032 seconds
10/08/24 14:05:17 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the algebraic side over range 22600000-22602000
skew: 0.2889
c6: 74000
c0: 43
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/08/24 14:09:49 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/08/24 14:09:51 v1.34.5 @ RYZEN-9, test: fb generation took 1.9063 seconds
10/08/24 14:09:51 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.3571
c5: 7400
c0: 43
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/08/24 14:13:03 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/08/24 14:13:05 v1.34.5 @ RYZEN-9, test: fb generation took 1.7657 seconds
10/08/24 14:13:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.7143
c5: 925
c0: 172
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/08/24 14:16:16 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/08/24 14:16:16 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 903708882920098303967787668625667676673604033323488794754422634960099756187731071096374905247128171909488734747026652031006327893416353341917767676173766079807455926724292732589
# 74*10^207+43, difficulty: 211.87, anorm: 3.57e+039, rnorm: 1.86e+040
# scaled difficulty: 211.87, suggest sieving algebraic side
# size = 1.976e-010, alpha = -3.362, combined = 5.433e-012, rroots = 0
type: snfs
size: 211
skew: 0.2889
c6: 74000
c0: 43
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
10/09/24 19:36:00 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/09/24 19:38:10 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22215724
10/09/24 21:34:18 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/09/24 21:36:42 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23499337
10/09/24 23:33:41 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/09/24 23:36:11 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24761829
10/10/24 01:32:45 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/10/24 01:35:21 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26017102
10/10/24 03:45:25 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/10/24 03:50:10 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/10/24 07:45:24 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/10/24 07:50:52 v1.34.5 @ RYZEN-9, prp49 = 2567446726440141563222555723131919448871004650483
10/10/24 07:50:52 v1.34.5 @ RYZEN-9, prp129 = 351987394173947904561674762862290592251499863278025057589062352199334615904275551629164760994258715621132749173268658845693647583
10/10/24 07:50:52 v1.34.5 @ RYZEN-9, NFS elapsed time = 150337.9529 seconds.
10/10/24 07:50:52 v1.34.5 @ RYZEN-9,
10/10/24 07:50:52 v1.34.5 @ RYZEN-9,
10/08/24 14:16:16 v1.34.5 @ RYZEN-9, test: test sieving took 661.74 seconds

YAFU

62740678681245923253888976268070682983885759643206386800893798916433831651898456432997511277149246100484156751957237145512133463193266102478462783076126260197611068168853393412596988102987<188>

623924933797255052796878896375913479<36>

100558056398549959359792891446281981116013697883887068674494018643906408027883669546338482666992804558332018979821077054428346125876771667908668744343453<153>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1562373406
Step 1 took 10515ms
Step 2 took 6583ms
********** Factor found in step 2: 623924933797255052796878896375913479
Found probable prime factor of 36 digits: 623924933797255052796878896375913479
Composite cofactor 100558056398549959359792891446281981116013697883887068674494018643906408027883669546338482666992804558332018979821077054428346125876771667908668744343453 has 153 digits

GMP-ECM 6.3

100558056398549959359792891446281981116013697883887068674494018643906408027883669546338482666992804558332018979821077054428346125876771667908668744343453<153>

3303511652294477423132511087728157628043922034512152518968233282635543<70>
30439746240551822738377206336497353229384007630475550989468924829188668563294699371<83>

Number: 82227_208
N = 100558056398549959359792891446281981116013697883887068674494018643906408027883669546338482666992804558332018979821077054428346125876771667908668744343453 (153 digits)
SNFS difficulty: 210 digits.
Divisors found:
r1=3303511652294477423132511087728157628043922034512152518968233282635543 (pp70)
r2=30439746240551822738377206336497353229384007630475550989468924829188668563294699371 (pp83)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 78.13 hours.
Factorization parameters were as follows:
n: 100558056398549959359792891446281981116013697883887068674494018643906408027883669546338482666992804558332018979821077054428346125876771667908668744343453
m: 100000000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 43
skew: 0.23
# Murphy_E = 4.506e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 45402135
Relations: 7950608 relations
Pruned matrix : 4903784 x 4904011
Total sieving time: 72.42 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.39 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 78.13 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

84255777749254411432970862734462985745573653483897139029488688039010735065838896781401115514742702160242496664308336844321218604091893287480998624469235919215575096577778389081<176>

15550692877924175635410169077409603524359<41>
581460020019778261646420817889160016795149409799<48>
9318158397950338162539178536270294864875168815588589731240572270709194543299708507657641<88>

#
# N = 74x10^209+43 = 82(208)7
#
n: 84255777749254411432970862734462985745573653483897139029488688039010735065838896781401115514742702160242496664308336844321218604091893287480998624469235919215575096577778389081
m: 100000000000000000000000000000000000
deg: 6
c6: 37
c0: 215
skew: 1.34
# Murphy_E = 4.984e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 84255777749254411432970862734462985745573653483897139029488688039010735065838896781401115514742702160242496664308336844321218604091893287480998624469235919215575096577778389081 (176 digit
s)
Using B1=36300000, B2=192389627446, polynomial Dickson(12), sigma=1:3773252
Step 1 took 96776ms
Step 2 took 32534ms
********** Factor found in step 2: 15550692877924175635410169077409603524359
Found prime factor of 41 digits: 15550692877924175635410169077409603524359
Composite cofactor 5418136568619668561854249228524059271428404597677240006728666909156844694049372064786382166860569596329106857244335763914968313102624159 has 136 digits



CADO

STA:Fri 16 Jul 2021 16:27:24 AEST (5,418,136,568,619,668,561,854,249,228,524,059,271,428,404,597,677,240,006,728,666,909,156,844,694,049,372,064,786,382,166,860,569,596,329,106,857,244,335,763,914,968,31
3,102,624,159 - C136)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 5418136568619668561854249228524059271428404597677240006728666909156844694049372064786382166860569596329106857244335763914
968313102624159 2>&1 | tee -a log31
Debug:root: Looking for parameter file for c136 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.dzucb1gu
Info:Database: Opened connection to database /tmp/cado.dzucb1gu/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 5418136568619668561854249228524059271428404597677240006728666909156844694049372064786
382166860569596329106857244335763914968313102624159
Debug:root: Root parameter dictionary:
N = 5418136568619668561854249228524059271428404597677240006728666909156844694049372064786382166860569596329106857244335763914968313102624159
...
n: 5418136568619668561854249228524059271428404597677240006728666909156844694049372064786382166860569596329106857244335763914968313102624159
skew: 27301.097
c0: -22445640371846302406241133888
c1: -1781831412496226324960028
c2: 1007201071073580726167
c3: 4320524384249937
c4: -745621096570
c5: -2822400
Y0: -167578461923591156763559551
Y1: 10665103726493084023
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 3.17e-10
# f(x) = -2822400*x^5-745621096570*x^4+4320524384249937*x^3+1007201071073580726167*x^2-1781831412496226324960028*x-22445640371846302406241133888
# g(x) = 10665103726493084023*x-167578461923591156763559551
...
Info:Square Root: Factors: 581460020019778261646420817889160016795149409799 9318158397950338162539178536270294864875168815588589731240572270709194543299708507657641
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1405.7/193.495
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36284/40.650/48.808/53.220/0.961
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36284/39.720/43.850/49.630/1.417
Info:Polynomial Selection (size optimized): Total time: 8924.38
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3279.04
Info:Polynomial Selection (root optimized): Rootsieve time: 3278.05
Info:Generate Factor Base: Total cpu/real time for makefb: 21.53/2.00771
Info:Generate Free Relations: Total cpu/real time for freerel: 303.83/20.3347
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19115929
Info:Lattice Sieving: Average J: 3784.8 for 857584 special-q, max bucket fill: 0.75684
Info:Lattice Sieving: Total CPU time: 649659s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.63/64.565
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 64.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 309.81/93.065
Info:Filtering - Singleton removal: Total cpu/real time for purge: 203.47/77.915
Info:Filtering - Merging: Total cpu/real time for merge: 585.5/487.846
Info:Filtering - Merging: Total cpu/real time for replay: 45.72/36.0109
Info:Linear Algebra: Total cpu/real time for bwc: 46539.1/0.000321627
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1973.2
Info:Linear Algebra: Lingen CPU time 323.18, WCT time 31.63
Info:Linear Algebra: Mksol: WCT time 1094.33
Info:Quadratic Characters: Total cpu/real time for characters: 46.89/11.351
Info:Square Root: Total cpu/real time for sqrt: 1405.7/193.495
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 711377/47370.5
Info:root: Cleaning up computation data in /tmp/cado.dzucb1gu
581460020019778261646420817889160016795149409799 9318158397950338162539178536270294864875168815588589731240572270709194543299708507657641

END:Sat 17 Jul 2021 05:36:55 AEST (5,418,136,568,619,668,561,854,249,228,524,059,271,428,404,597,677,240,006,728,666,909,156,844,694,049,372,064,786,382,166,860,569,596,329,106,857,244,335,763,914,968,31
3,102,624,159 - C136)

16642481774540570283496255878478286098050472054704834032213533010369965520610798204043654736706697812909872222352275163697461666517045566703<140>

206921079039038615557414693577303261<36>
80429127142724441860043698499476928337795274458550590428551033796662333373779338160062338363207432369723<104>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4248934943
Step 1 took 5476ms
Step 2 took 4071ms
********** Factor found in step 2: 206921079039038615557414693577303261
Found probable prime factor of 36 digits: 206921079039038615557414693577303261
Probable prime cofactor 80429127142724441860043698499476928337795274458550590428551033796662333373779338160062338363207432369723 has 104 digits

GMP-ECM 6.3

1507594774250832207417390956192867410414775593660738289521029612267506474391869999365877039554080395056562776711854309799179154504651593398244401983659886636081636454023554749<175>

14297296965660007787970016962873122467635522143646938492774230983782767701395342782228050273641077537322799701372316234122515338334159486314662185618442865066403160156440160482585313<182>

342613409037023920524443200536326761<36>

41730115017521089859286396041412079778563812676243713448398448113645766517824530125694544906007532492120414753748536616187241453398800712316450233<146>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=266123827
Step 1 took 15749ms
Step 2 took 11785ms
********** Factor found in step 2: 342613409037023920524443200536326761
Found probable prime factor of 36 digits: 342613409037023920524443200536326761
Composite cofactor 41730115017521089859286396041412079778563812676243713448398448113645766517824530125694544906007532492120414753748536616187241453398800712316450233 has 146 digits

41730115017521089859286396041412079778563812676243713448398448113645766517824530125694544906007532492120414753748536616187241453398800712316450233<146>

27685695714014257759087371564549038329915255678212123890801<59>
1507280707285880828058170824366835972791778989076620134243789368765317697151624535013833<88>

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 77931/45.060/52.491/57.450/0.899
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63483/43.300/47.092/53.230/1.235
Info:Polynomial Selection (size optimized): Total time: 58740.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6807.92
Info:Polynomial Selection (root optimized): Rootsieve time: 6806.57
Info:Generate Factor Base: Total cpu/real time for makefb: 29.22/1.017
Info:Generate Free Relations: Total cpu/real time for freerel: 505.82/12.278
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 52274206
Info:Lattice Sieving: Average J: 4096 for 1271704 special-q, max bucket fill -bkmult 1.0,1s:1.060940
Info:Lattice Sieving: Total time: 4.56455e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 181.87/303.333
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 302.29999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2040.96/924.848
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 781.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2079.4/775.951
Info:Filtering - Merging: Total cpu/real time for merge: 395.53/381.978
Info:Filtering - Merging: Total cpu/real time for replay: 148.61/119.937
Info:Linear Algebra: Total cpu/real time for bwc: 362558/85211.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 61369.36, iteration CPU time 0.37, COMM 0.03, cpu-wait 0.09, comm-wait 0.04 (115712 iterations)
Info:Linear Algebra: Lingen CPU time 259.36, WCT time 260.44
Info:Linear Algebra: Mksol: WCT time 23015.52, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.06, comm-wait 0.0 (57856 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 193.04/27.7113
Info:Square Root: Total cpu/real time for sqrt: 3533.38/486.236
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.2207e+06/160245
1507280707285880828058170824366835972791778989076620134243789368765317697151624535013833 27685695714014257759087371564549038329915255678212123890801

n: 41730115017521089859286396041412079778563812676243713448398448113645766517824530125694544906007532492120414753748536616187241453398800712316450233
skew: 19974137.572
c0: -232070296917976005677862339637810995240
c1: 44596899622216105194841965464334
c2: 634424531953476473941261
c3: -292257418529933395
c4: -3607433012
c5: 120
Y0: -58679925340774646647613637667
Y1: 670894498837220137
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.619e-07
# f(x) = 120*x^5-3607433012*x^4-292257418529933395*x^3+634424531953476473941261*x^2+44596899622216105194841965464334*x-232070296917976005677862339637810995240
# g(x) = 670894498837220137*x-58679925340774646647613637667

Total runtime was 1 day 20 hours 30 minutes; krylov and mksol were pinned to two CPUs for most of their runtime.

cado-nfs-3.0.0-dev, 67de595909cf4cecc9692ff767c1472972b8ca65

AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM, containerized

521731947817936891796904294628424521613804370875344351490172402807509626933295169765623631574297146655213267370852104126955152937410716983420498448842076119548174038458368275933808205151225743673322972919<204>

19431826773988659158398713742340735863390335110923574543043634841292489295071135474450423411796850608721090778309472175032922249<128>

14499396236729942059295717642242639302635038041623<50>
1340181788036377662050453344564172899556268688640739565554896477932096638100063<79>

N = 19431826773988659158398713742340735863390335110923574543043634841292489295071135474450423411796850608721090778309472175032922249 (128 digits)
Divisors found:
r1=14499396236729942059295717642242639302635038041623 (pp50)
r2=1340181788036377662050453344564172899556268688640739565554896477932096638100063 (pp79)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 19.76 hours.
Factorization parameters were as follows:
n: 19431826773988659158398713742340735863390335110923574543043634841292489295071135474450423411796850608721090778309472175032922249
Y0: -4992628686324483635937888
Y1: 60100937504879
c0: 718221184936452920129968387687
c1: 50707618481686969351691759
c2: -440799850095371035633
c3: -1570343889301031
c4: 18622797738
c5: 6264
skew: 214294.30 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18915602
Relations: 2219166 relations
Pruned matrix : 1237464 x 1237701
Polynomial selection time: 0.00 hours.
Total sieving time: 18.37 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.21 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 19.76 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

4404682595834205479414274262371174462168386367849249315891272711261994479728298784405183417180548087915877196933108316347795497351505548826627546343623235776090369408508715213455887674565065540723793741967239<208>

582144937004163926217123695212717<33>
7566298898864596616877727516907447274988579086999421472509786204745204655233473690012984102655020581524086601203156619047891186641205812170249955906587058087828154964489505667<175>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2929661951
Step 1 took 12090ms
Step 2 took 7239ms
********** Factor found in step 2: 582144937004163926217123695212717
Found probable prime factor of 33 digits: 582144937004163926217123695212717
Probable prime cofactor 7566298898864596616877727516907447274988579086999421472509786204745204655233473690012984102655020581524086601203156619047891186641205812170249955906587058087828154964489505667 has 175 digits

GMP-ECM 6.3

13301061257709159761845146874922387830436497452569194675130708473310829419161378847877135742279729239626565526725145655445516793974924828285628689409445810917119969605797020668239552007858558237<194>

68251733978852281899377339110711<32>

194882393197958570195011863832514060387961651395201811180953622643240537849660532563000423486678550565409895747195647952292888293000829837123928654210042528174667<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2183426326
Step 1 took 12620ms
Step 2 took 7129ms
********** Factor found in step 2: 68251733978852281899377339110711
Found probable prime factor of 32 digits: 68251733978852281899377339110711
Composite cofactor 194882393197958570195011863832514060387961651395201811180953622643240537849660532563000423486678550565409895747195647952292888293000829837123928654210042528174667 has 162 digits

GMP-ECM 6.3

194882393197958570195011863832514060387961651395201811180953622643240537849660532563000423486678550565409895747195647952292888293000829837123928654210042528174667<162>

9772720560214740639203457709286294808637<40>
19941467884729564664313886142537384077005854676315802071166577169449485610429514610656562542203911636394047173759577425191<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=417778152
Step 1 took 23603ms
Step 2 took 13260ms
********** Factor found in step 2: 9772720560214740639203457709286294808637
Found probable prime factor of 40 digits: 9772720560214740639203457709286294808637
Probable prime cofactor 19941467884729564664313886142537384077005854676315802071166577169449485610429514610656562542203911636394047173759577425191 has 122 digits

GMP-ECM 6.3

104314865762557770900894146776606370032961217356678910461797737417285971914659336345840810799101116237833798486254107102816872675754813515039360959258765276165451988663735655702471546651352689417637329091074213163<213>

419060610203209926017548183342628038463138221048031774677<57>
248925485294295833364911133503617733738374098658054941287454671486085207522622208873968366352174502605657932555113714191560254438059948252841465043038705919<156>

Number: n
N=104314865762557770900894146776606370032961217356678910461797737417285971914659336345840810799101116237833798486254107102816872675754813515039360959258765276165451988663735655702471546651352689417637329091074213163
  ( 213 digits)
SNFS difficulty: 223 digits.
Divisors found:

Fri Aug 23 16:23:04 2019  p57 factor: 419060610203209926017548183342628038463138221048031774677
Fri Aug 23 16:23:04 2019  p156 factor: 248925485294295833364911133503617733738374098658054941287454671486085207522622208873968366352174502605657932555113714191560254438059948252841465043038705919
Fri Aug 23 16:23:04 2019  elapsed time 14:58:38 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.115).
Factorization parameters were as follows:
#
# N = 74x10^222+43 = 82(221)7
#
n: 104314865762557770900894146776606370032961217356678910461797737417285971914659336345840810799101116237833798486254107102816872675754813515039360959258765276165451988663735655702471546651352689417637329091074213163
m: 10000000000000000000000000000000000000
deg: 6
c6: 74
c0: 43
skew: 0.91
# Murphy_E = 1.465e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 123800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15187374 hash collisions in 69178004 relations (55053556 unique)
Msieve: matrix is 5600645 x 5600870 (1951.2 MB)

Sieving start time: 2019/08/20 07:20:27
Sieving end time  : 2019/08/23 01:22:16

Total sieving time: 66hrs 1min 49secs.

Total relation processing time: 14hrs 24min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 35sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

190271070475062578670193529172007880948545172083468959645140997829971554508389977011729529347287648054718495906653078648439760547673513465974376895856607261747497814382568567447637078073004504848351014057859466568487<216>

6670006830708943427432755100486541942446447078637325209369879883<64>
28526368158882229728605382765357068033292487915488757903765349089512924678477975146894632830465786293135252440349656041807808221338248749476334933818389<152>

Number: n
N=190271070475062578670193529172007880948545172083468959645140997829971554508389977011729529347287648054718495906653078648439760547673513465974376895856607261747497814382568567447637078073004504848351014057859466568487
  ( 216 digits)
SNFS difficulty: 224 digits.
Divisors found:

Thu Jul 25 07:16:49 2019  p64 factor: 6670006830708943427432755100486541942446447078637325209369879883
Thu Jul 25 07:16:49 2019  p152 factor: 28526368158882229728605382765357068033292487915488757903765349089512924678477975146894632830465786293135252440349656041807808221338248749476334933818389
Thu Jul 25 07:16:49 2019  elapsed time 12:36:24 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 74x10^223+43 = 82(222)7
#
n: 190271070475062578670193529172007880948545172083468959645140997829971554508389977011729529347287648054718495906653078648439760547673513465974376895856607261747497814382568567447637078073004504848351014057859466568487
m: 10000000000000000000000000000000000000
deg: 6
c6: 740
c0: 43
skew: 0.62
# Murphy_E = 1.471e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 88300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14300219 hash collisions in 68663857 relations (55691036 unique)
Msieve: matrix is 5125444 x 5125670 (1795.3 MB)

Sieving start time: 2019/07/22 17:43:39
Sieving end time  : 2019/07/24 18:33:49

Total sieving time: 48hrs 50min 10secs.

Total relation processing time: 11hrs 51min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 8sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved)
[    0.080566] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828)
[    0.078213] smpboot: Total of 16 processors activated (95814.62 BogoMIPS)

198644524002204453524848565499332961580361015662947494180120319172336977758462507692401481018805456618710907763146494833488277686108255798078585248657706652777390008231709082621313384622798057929144141628232892621191<216>

50969127327543960232298240783713<32>
3897349913912612792267459257305637563233163751592068483289347350284480072647059673841448627675811013801012104177081957929367965500062139917860404027397287988487963007930166523116050407<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1066922020
Step 1 took 14180ms
Step 2 took 7831ms
********** Factor found in step 2: 50969127327543960232298240783713
Found probable prime factor of 32 digits: 50969127327543960232298240783713
Probable prime cofactor 3897349913912612792267459257305637563233163751592068483289347350284480072647059673841448627675811013801012104177081957929367965500062139917860404027397287988487963007930166523116050407 has 184 digits

GMP-ECM 6.3

3697670778195029796790845986172517820171940978019231022782866583100631685233829865248401479205525488965774457144109779049656307667734103799061788780459744114417857853841668381927716224263868445584312557<202>

5952607314126280900211962689992835745926825554073957727261548613589196038247590693261849794513525308189949004132017361169550230186092452131055361202379982127845800711006810817080770476356062326164330813944119<208>

11343811934376947176485528791256661<35>

524744887217951280661626200354883946883375244934698968665943969763360917644560359526253863894894088321263810453778637752511354801860744230324687950224615290295877683652293979<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2156751102
Step 1 took 12137ms
Step 2 took 1840ms
********** Factor found in step 2: 11343811934376947176485528791256661
Found probable prime factor of 35 digits: 11343811934376947176485528791256661
Composite cofactor 524744887217951280661626200354883946883375244934698968665943969763360917644560359526253863894894088321263810453778637752511354801860744230324687950224615290295877683652293979 has 174 digits

GMP-ECM 6.3

524744887217951280661626200354883946883375244934698968665943969763360917644560359526253863894894088321263810453778637752511354801860744230324687950224615290295877683652293979<174>

551854957815351147620406985541754590603<39>

950874645206194183827198001967369960839093470014034108628273138140096082540779720425794385911436514337116271271270110272494051276929393<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=587068253
Step 1 took 27628ms
********** Factor found in step 1: 551854957815351147620406985541754590603
Found probable prime factor of 39 digits: 551854957815351147620406985541754590603
Composite cofactor 950874645206194183827198001967369960839093470014034108628273138140096082540779720425794385911436514337116271271270110272494051276929393 has 135 digits

GMP-ECM 6.3

950874645206194183827198001967369960839093470014034108628273138140096082540779720425794385911436514337116271271270110272494051276929393<135>

142369300167497265404557684662504620717<39>
2577491742951747042392204668906338073079917<43>
2591251904592207615990860313946613177870992905791001737<55>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1114767114
Step 1 took 17269ms
Step 2 took 9469ms
********** Factor found in step 2: 142369300167497265404557684662504620717
Found probable prime factor of 39 digits: 142369300167497265404557684662504620717
Composite cofactor 6678930387994403344054750516735600819154275034392011280467734143070400505814711511104332286815829 has 97 digits

N = 6678930387994403344054750516735600819154275034392011280467734143070400505814711511104332286815829 (97 digits)
Divisors found:
r1=2577491742951747042392204668906338073079917 (pp43)
r2=2591251904592207615990860313946613177870992905791001737 (pp55)
Version: Msieve v. 1.48
Total time: 0.83 hours.
Factorization parameters were as follows:
n: 6678930387994403344054750516735600819154275034392011280467734143070400505814711511104332286815829
Y0: -260427306585149026141075
Y1: 10685631317399
c0: -851907607107344150654695196
c1: 810695535735194344286
c2: 2426686071838626
c3: -470811039
c4: 1452
skew: 1045398.94
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 2125058
Relations: 203002 relations
Pruned matrix : 125448 x 125676
Polynomial selection time: 0.00 hours.
Total sieving time: 0.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 0.83 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

14281669565254057099490208065747316341459512029074994996335044711008217162966640132617684506888064767462572319511107200944380572282753563659604418314786725890874437178291871293004855558638022336574045066041065773983885453<221>

1531595404056864539320429275882808715897179571424957655530612569637030203787300758697770279482493441141742960225825345708234932792240163940919140498196764360853624575267784161194280473987306836605219857948486358523649331<220>

22526601321738942564168813470255754649139355582194334690682745262680998158087050811734174556691729372689059686603928359626200417509410980693480460564386448112190507143534514824280287596332126579133997<200>

5586341051887026405314940777566923<34>

4032442901804145368199384876262907580906184449036046942664907191099260022815138186102511723766396714270046366978743262176540312192362762753173493479028012977257688039<166>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4190016919
Step 1 took 10811ms
Step 2 took 6442ms
********** Factor found in step 2: 5586341051887026405314940777566923
Found probable prime factor of 34 digits: 5586341051887026405314940777566923
Composite cofactor 4032442901804145368199384876262907580906184449036046942664907191099260022815138186102511723766396714270046366978743262176540312192362762753173493479028012977257688039 has 166 digits

GMP-ECM 6.3

31388185943332196639252161151417698667762570643622032698011574087855858057092350958978715159715127500672198519967289973023308450457856042469614081859445387495987606775563131857892514966652310598218747<200>

61687177653236367758946516383364135241634510141288645141176107722484392727248476785197744916851519796999168890322698964072220680042780891313028248559312638118841181359468690006093692819529160112404041010302592278599300934227297243<230>

887152102093304708862323991856951<33>

69533936184878164316365497182555291128794232484868130861572027805097784930373368928806928027711920002105702460693194385372808813837845875352607279109272798633093111787739339436213932208526771040893<197>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1024692832
Step 1 took 14056ms
********** Factor found in step 1: 887152102093304708862323991856951
Found probable prime factor of 33 digits: 887152102093304708862323991856951
Composite cofactor 69533936184878164316365497182555291128794232484868130861572027805097784930373368928806928027711920002105702460693194385372808813837845875352607279109272798633093111787739339436213932208526771040893 has 197 digits

GMP-ECM 6.3

9563438786537676552304842327067371240385342721164076328742768488288269603285023787817112922214620087198012210015595510649953385237513422934965047913211749668917623446207091125697001744758640122583727528657<205>

26685374799211445438970374002756856273<38>

358377532955627694256239100969808756907572976631520872408415518694807146230116869916308799656059343345990688751519839402726193947323459218726233296260876997791122481409<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4219932422
Step 1 took 26829ms
Step 2 took 10303ms
********** Factor found in step 2: 26685374799211445438970374002756856273
Found probable prime factor of 38 digits: 26685374799211445438970374002756856273

69458675861972957208434631148144202171326494440185659933387147678403690205650312661060310403304707258135184385587055693290172512809204954415253394187783315647179773280830319417759839181563840743025052644617714947427<215>

48184177619660280382218389436082219<35>

1441524568713032885917305061065594739934490875563182825980611712051171052171751089021857341187549899695300352926616676456420872936299730955948064753561817397076251931267513034961833<181>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3128418281
Step 1 took 14009ms
Step 2 took 7753ms
********** Factor found in step 2: 48184177619660280382218389436082219
Found probable prime factor of 35 digits: 48184177619660280382218389436082219
Composite cofactor 1441524568713032885917305061065594739934490875563182825980611712051171052171751089021857341187549899695300352926616676456420872936299730955948064753561817397076251931267513034961833 has 181 digits

GMP-ECM 6.3

289448150858591555192568743085582883278125426852641561638215194502376358405792454574253576348321647974525451469801716514931061309191084184394587296500284179603062827793588067169113812334269423151601400084209585968047562120749321<228>

5385122751208105314814346500374238186569939403884568301058460483685070657635765499081659816745436914464073804432585255673745571859136010047822845705144211740757181662417262248648964926708536918031219747611<205>