966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<102>

78581385466591181740966847491472861<35>
12301471409888087164336267536348546139814425554185638597482756605801<68>

Number: 96661_101
N=966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 102 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=78581385466591181740966847491472861 (pp35)
 r2=12301471409888087164336267536348546139814425554185638597482756605801 (pp68)
Version: Msieve-1.40
Total time: 0.40 hours.
Scaled time: 0.81 units (timescale=2.026).
Factorization parameters were as follows:
name: 96661_101
n: 966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 10000000000000000000000000
deg: 4
c4: 290
c0: -17
skew: 0.49
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 230001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29732 x 29959
Total sieving time: 0.37 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.40 hours.
 --------- CPU info (if available) ----------

9666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<103>

114387293910590466301532719141<30>
84508220591550205422679037467003035045504398507275130669511018940988526721<74>

Number: 96661_102
N=9666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 103 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=114387293910590466301532719141 (pp30)
 r2=84508220591550205422679037467003035045504398507275130669511018940988526721 (pp74)
Version: Msieve-1.40
Total time: 0.37 hours.
Scaled time: 1.11 units (timescale=2.968).
Factorization parameters were as follows:
name: 96661_102
n: 9666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 10000000000000000000000000
deg: 4
c4: 2900
c0: -17
skew: 0.28
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 255001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43140 x 43378
Total sieving time: 0.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.37 hours.
 --------- CPU info (if available) ----------

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

50751340357179783358867892141202759052384632922568325949311158393986236496962604246965959<89>

465628913224840454010430508491533203<36>
108995251187662484345882842694214007492004843637475453<54>

Thu Oct 07 07:27:34 2010  Msieve v. 1.42
Thu Oct 07 07:27:34 2010  random seeds: 4cccdd30 8912d837
Thu Oct 07 07:27:34 2010  factoring 50751340357179783358867892141202759052384632922568325949311158393986236496962604246965959 (89 digits)
Thu Oct 07 07:27:35 2010  searching for 15-digit factors
Thu Oct 07 07:27:35 2010  commencing quadratic sieve (89-digit input)
Thu Oct 07 07:27:35 2010  using multiplier of 35
Thu Oct 07 07:27:35 2010  using 32kb Intel Core sieve core
Thu Oct 07 07:27:35 2010  sieve interval: 32 blocks of size 32768
Thu Oct 07 07:27:35 2010  processing polynomials in batches of 7
Thu Oct 07 07:27:35 2010  using a sieve bound of 1556117 (58761 primes)
Thu Oct 07 07:27:35 2010  using large prime bound of 124489360 (26 bits)
Thu Oct 07 07:27:35 2010  using double large prime bound of 372595783054480 (42-49 bits)
Thu Oct 07 07:27:35 2010  using trial factoring cutoff of 49 bits
Thu Oct 07 07:27:35 2010  polynomial 'A' values have 12 factors
Thu Oct 07 08:38:49 2010  59012 relations (15779 full + 43233 combined from 627126 partial), need 58857
Thu Oct 07 08:38:50 2010  begin with 642905 relations
Thu Oct 07 08:38:51 2010  reduce to 143217 relations in 9 passes
Thu Oct 07 08:38:51 2010  attempting to read 143217 relations
Thu Oct 07 08:38:53 2010  recovered 143217 relations
Thu Oct 07 08:38:53 2010  recovered 123658 polynomials
Thu Oct 07 08:38:53 2010  attempting to build 59012 cycles
Thu Oct 07 08:38:53 2010  found 59012 cycles in 5 passes
Thu Oct 07 08:38:53 2010  distribution of cycle lengths:
Thu Oct 07 08:38:53 2010     length 1 : 15779
Thu Oct 07 08:38:53 2010     length 2 : 11501
Thu Oct 07 08:38:53 2010     length 3 : 10338
Thu Oct 07 08:38:53 2010     length 4 : 7960
Thu Oct 07 08:38:53 2010     length 5 : 5509
Thu Oct 07 08:38:53 2010     length 6 : 3457
Thu Oct 07 08:38:53 2010     length 7 : 2027
Thu Oct 07 08:38:53 2010     length 9+: 2441
Thu Oct 07 08:38:53 2010  largest cycle: 17 relations
Thu Oct 07 08:38:53 2010  matrix is 58761 x 59012 (14.4 MB) with weight 3534553 (59.90/col)
Thu Oct 07 08:38:53 2010  sparse part has weight 3534553 (59.90/col)
Thu Oct 07 08:38:54 2010  filtering completed in 3 passes
Thu Oct 07 08:38:54 2010  matrix is 54849 x 54911 (13.5 MB) with weight 3312604 (60.33/col)
Thu Oct 07 08:38:54 2010  sparse part has weight 3312604 (60.33/col)
Thu Oct 07 08:38:54 2010  saving the first 48 matrix rows for later
Thu Oct 07 08:38:54 2010  matrix is 54801 x 54911 (8.4 MB) with weight 2595814 (47.27/col)
Thu Oct 07 08:38:54 2010  sparse part has weight 1884862 (34.33/col)
Thu Oct 07 08:38:54 2010  matrix includes 64 packed rows
Thu Oct 07 08:38:54 2010  using block size 21964 for processor cache size 1024 kB
Thu Oct 07 08:38:55 2010  commencing Lanczos iteration
Thu Oct 07 08:38:55 2010  memory use: 8.7 MB
Thu Oct 07 08:39:13 2010  lanczos halted after 868 iterations (dim = 54800)
Thu Oct 07 08:39:13 2010  recovered 18 nontrivial dependencies
Thu Oct 07 08:39:14 2010  prp36 factor: 465628913224840454010430508491533203
Thu Oct 07 08:39:14 2010  prp54 factor: 108995251187662484345882842694214007492004843637475453
Thu Oct 07 08:39:14 2010  elapsed time 01:11:40

173278927157035105634162597319213471705263260379528153496025372025837932750141954169161458079<93>

9730891378766725251391099594510152921023<40>
17807097049211554221560252280234424194527339227235873<53>

Divisors found:
 r1=9730891378766725251391099594510152921023 (pp40)
 r2=17807097049211554221560252280234424194527339227235873 (pp53)
Version: Msieve v. 1.46
Total time: 0.27 hours.
Scaled time: 0.80 units (timescale=3.000).
Factorization parameters were as follows:
n: 173278927157035105634162597319213471705263260379528153496025372025837932750141954169161458079
m: 1000000000000000000000
deg: 5
c5: 290000
c0: -17
skew: 0.14
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 395001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 46373 x 46599
Total sieving time: 0.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,50000
total time: 0.27 hours.

966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<111>

2137280776675956909398851583191<31>
1683638681000033771038216461882136157629<40>
268637272029711150570218573802628769127199<42>

Number: 96661_110
N=966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 111 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2137280776675956909398851583191 (pp31)
 r2=1683638681000033771038216461882136157629 (pp40)
 r3=268637272029711150570218573802628769127199 (pp42)
Version: Msieve-1.40
Total time: 0.72 hours.
Scaled time: 2.32 units (timescale=3.222).
Factorization parameters were as follows:
name: 96661_110
n: 966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 10000000000000000000000
deg: 5
c5: 29
c0: -17
skew: 0.90
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53239 x 53487
Total sieving time: 0.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.72 hours.
 --------- CPU info (if available) ----------

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

1752115626155804997658654342994181329229070268247524552306466689029267940356892926419421<88>

1151481442798741959035789749262367571<37>
1521618639287131771950066737074354344697684226062351<52>

Number: 96661_111
N=1752115626155804997658654342994181329229070268247524552306466689029267940356892926419421
  ( 88 digits)
Divisors found:
 r1=1151481442798741959035789749262367571 (pp37)
 r2=1521618639287131771950066737074354344697684226062351 (pp52)
Version: Msieve-1.40
Total time: 2.31 hours.
Scaled time: 4.70 units (timescale=2.038).
Factorization parameters were as follows:
name: 96661_111
n:  1752115626155804997658654342994181329229070268247524552306466689029267940356892926419421
m:  102851206885972728607
deg: 4
c4: 15657600
c3: -4024954466
c2: -18907291870121512
c1: -385658587813127
c0: 6101969595621765403836
skew: 1379.250
type: gnfs
# adj. I(F,S) = 50.482
# E(F1,F2) = 4.143604e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=56.00000000, seed=1286392834.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
qintsize: 10000

type: gnfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [300000, 620001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76435 x 76683
Polynomial selection time: 0.14 hours.
Total sieving time: 2.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,87,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,600000,25,25,43,43,2.2,2.2,10000
total time: 2.31 hours.
 --------- CPU info (if available) ----------

1995759280518815765498555923961773500956327618815993375111573995964459933052797144473101<88>

11885776860471565873323530350252074307039<41>
167911555462234582637612706294690582571373050259<48>

Thu Oct 07 08:51:12 2010  Msieve v. 1.42
Thu Oct 07 08:51:12 2010  random seeds: 7e240a80 66e8b4bd
Thu Oct 07 08:51:12 2010  factoring 1995759280518815765498555923961773500956327618815993375111573995964459933052797144473101 (88 digits)
Thu Oct 07 08:51:13 2010  searching for 15-digit factors
Thu Oct 07 08:51:14 2010  commencing quadratic sieve (88-digit input)
Thu Oct 07 08:51:14 2010  using multiplier of 5
Thu Oct 07 08:51:14 2010  using 32kb Intel Core sieve core
Thu Oct 07 08:51:14 2010  sieve interval: 25 blocks of size 32768
Thu Oct 07 08:51:14 2010  processing polynomials in batches of 9
Thu Oct 07 08:51:14 2010  using a sieve bound of 1517699 (57638 primes)
Thu Oct 07 08:51:14 2010  using large prime bound of 121415920 (26 bits)
Thu Oct 07 08:51:14 2010  using double large prime bound of 356201769813440 (42-49 bits)
Thu Oct 07 08:51:14 2010  using trial factoring cutoff of 49 bits
Thu Oct 07 08:51:14 2010  polynomial 'A' values have 11 factors
Thu Oct 07 09:33:59 2010  58004 relations (16294 full + 41710 combined from 604025 partial), need 57734
Thu Oct 07 09:34:00 2010  begin with 620319 relations
Thu Oct 07 09:34:01 2010  reduce to 138155 relations in 9 passes
Thu Oct 07 09:34:01 2010  attempting to read 138155 relations
Thu Oct 07 09:34:03 2010  recovered 138155 relations
Thu Oct 07 09:34:03 2010  recovered 112326 polynomials
Thu Oct 07 09:34:03 2010  attempting to build 58004 cycles
Thu Oct 07 09:34:03 2010  found 58004 cycles in 5 passes
Thu Oct 07 09:34:03 2010  distribution of cycle lengths:
Thu Oct 07 09:34:03 2010     length 1 : 16294
Thu Oct 07 09:34:03 2010     length 2 : 11667
Thu Oct 07 09:34:03 2010     length 3 : 10125
Thu Oct 07 09:34:03 2010     length 4 : 7604
Thu Oct 07 09:34:03 2010     length 5 : 5139
Thu Oct 07 09:34:03 2010     length 6 : 3214
Thu Oct 07 09:34:03 2010     length 7 : 1871
Thu Oct 07 09:34:03 2010     length 9+: 2090
Thu Oct 07 09:34:03 2010  largest cycle: 18 relations
Thu Oct 07 09:34:03 2010  matrix is 57638 x 58004 (13.6 MB) with weight 3341100 (57.60/col)
Thu Oct 07 09:34:03 2010  sparse part has weight 3341100 (57.60/col)
Thu Oct 07 09:34:04 2010  filtering completed in 4 passes
Thu Oct 07 09:34:04 2010  matrix is 52889 x 52953 (12.5 MB) with weight 3067633 (57.93/col)
Thu Oct 07 09:34:04 2010  sparse part has weight 3067633 (57.93/col)
Thu Oct 07 09:34:04 2010  saving the first 48 matrix rows for later
Thu Oct 07 09:34:04 2010  matrix is 52841 x 52953 (8.6 MB) with weight 2442387 (46.12/col)
Thu Oct 07 09:34:04 2010  sparse part has weight 1925408 (36.36/col)
Thu Oct 07 09:34:04 2010  matrix includes 64 packed rows
Thu Oct 07 09:34:04 2010  using block size 21181 for processor cache size 1024 kB
Thu Oct 07 09:34:05 2010  commencing Lanczos iteration
Thu Oct 07 09:34:05 2010  memory use: 8.5 MB
Thu Oct 07 09:34:22 2010  lanczos halted after 837 iterations (dim = 52837)
Thu Oct 07 09:34:22 2010  recovered 15 nontrivial dependencies
Thu Oct 07 09:34:23 2010  prp41 factor: 11885776860471565873323530350252074307039
Thu Oct 07 09:34:23 2010  prp48 factor: 167911555462234582637612706294690582571373050259
Thu Oct 07 09:34:23 2010  elapsed time 00:43:11

215117738879368957084609679671863382857663099710344536295286674521721667744474190028045369<90>

137689217143092488029995244089631<33>
1562342668095857190845615761326413906215936770039098584999<58>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=790017683
Step 1 took 11076ms
Step 2 took 6833ms
********** Factor found in step 2: 137689217143092488029995244089631
Found probable prime factor of 33 digits: 137689217143092488029995244089631
Probable prime cofactor 1562342668095857190845615761326413906215936770039098584999 has 58 digits

GMP-ECM 6.3

35878113596241720961343282224056881133934245194310304251616730059566532805809484648431404776009<95>

25651563898984150178897771450344730741<38>
1398671587335950352840642103098919506058547368413201311749<58>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=356803690
Step 1 took 9376ms
Step 2 took 6193ms
********** Factor found in step 2: 25651563898984150178897771450344730741
Found probable prime factor of 38 digits: 25651563898984150178897771450344730741
Probable prime cofactor 1398671587335950352840642103098919506058547368413201311749 has 58 digits

GMP-ECM 6.3

966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<129>

123370797734752810072527635606587<33>
7835457696763863053952736972899629155867409073361678982768507066716577798059919454100529968428703<97>

Number: 96661_128
N=966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 129 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=123370797734752810072527635606587 (pp33)
 r2=7835457696763863053952736972899629155867409073361678982768507066716577798059919454100529968428703 (pp97)
Version: Msieve-1.40
Total time: 3.17 hours.
Scaled time: 9.90 units (timescale=3.127).
Factorization parameters were as follows:
name: 96661_128
n: 966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 10000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1105001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 161325 x 161570
Total sieving time: 3.06 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,50000
total time: 3.17 hours.
 --------- CPU info (if available) ----------

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

537407040081152783605356737716548274469756585239289618675685112737496704091126798344901337170831509140807<105>

17848705215908422588744132204987<32>
30109020995100852126905150084486703736612874364103347134478311543494181861<74>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3163673843
Step 1 took 1509ms
Step 2 took 1162ms
********** Factor found in step 2: 17848705215908422588744132204987
Found probable prime factor of 32 digits: 17848705215908422588744132204987
Probable prime cofactor has 74 digits

11130592165871269259994912932613805014341542437991795865339852733700418209997843477500750334800505897029606113041<113>

42029328798061209337321828020674709997435832536849<50>
264829167730718497165152478150716665590693421659456868050628609<63>

Number: 96661_130
N=11130592165871269259994912932613805014341542437991795865339852733700418209997843477500750334800505897029606113041
  ( 113 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=42029328798061209337321828020674709997435832536849 (pp50)
 r2=264829167730718497165152478150716665590693421659456868050628609 (pp63)
Version: Msieve-1.40
Total time: 2.30 hours.
Scaled time: 7.48 units (timescale=3.254).
Factorization parameters were as follows:
name: 96661_130
n: 11130592165871269259994912932613805014341542437991795865339852733700418209997843477500750334800505897029606113041
m: 100000000000000000000000000
deg: 5
c5: 29
c0: -17
skew: 0.90
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 945001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158683 x 158931
Total sieving time: 2.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 2.30 hours.
 --------- CPU info (if available) ----------

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

8351334205376138834513775278030149201731912889488245644391242194625461675921195164076943055853714673048052311<109>

89629168397473198172512822994088586570448214899599<50>
93176522271644522379264497411248490723044415956639593212089<59>

Number: 96661_131
N=8351334205376138834513775278030149201731912889488245644391242194625461675921195164076943055853714673048052311
  ( 109 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=89629168397473198172512822994088586570448214899599 (pp50)
 r2=93176522271644522379264497411248490723044415956639593212089 (pp59)
Version: Msieve-1.40
Total time: 3.46 hours.
Scaled time: 9.36 units (timescale=2.705).
Factorization parameters were as follows:
name: 96661_131
n: 8351334205376138834513775278030149201731912889488245644391242194625461675921195164076943055853714673048052311
m: 100000000000000000000000000
deg: 5
c5: 290
c0: -17
skew: 0.57
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 1115001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173913 x 174161
Total sieving time: 3.31 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,50000
total time: 3.46 hours.
 --------- CPU info (if available) ----------

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

2146217545396633827090415269435889568944310660190712573932622468713165500592108808537<85>

3044826372173048653272938135264951<34>
704873540577261004544988399886071092202553731147887<51>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3904878538
Step 1 took 40748ms
Step 2 took 21700ms
********** Factor found in step 2: 3044826372173048653272938135264951
Found probable prime factor of 34 digits: 3044826372173048653272938135264951
Probable prime cofactor 704873540577261004544988399886071092202553731147887 has 51 digits

GMP-ECM 6.3

2387235129720386107324744888209462662173615543314404124514253571913832045820510617396234337872449433557903<106>

4360844272739101115419643996905427556936128933<46>
547424989386501001625447454503235491058656919442595932525091<60>

Number: 96661_138
N=2387235129720386107324744888209462662173615543314404124514253571913832045820510617396234337872449433557903
  ( 106 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=4360844272739101115419643996905427556936128933 (pp46)
 r2=547424989386501001625447454503235491058656919442595932525091 (pp60)
Version: Msieve-1.40
Total time: 7.33 hours.
Scaled time: 22.82 units (timescale=3.112).
Factorization parameters were as follows:
name: 96661_138
n: 2387235129720386107324744888209462662173615543314404124514253571913832045820510617396234337872449433557903
m: 1000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1940001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 265862 x 266110
Total sieving time: 7.13 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 7.33 hours.
 --------- CPU info (if available) ----------

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

2015089957096209347196953730648843583571666177493359928679107633571738316454743365018262094514942696123018144983268619721581<124>

5702183833883065631875268399842515427562981<43>
353389160328767591494337577441427885802869196342953627596968846890226914939770601<81>

Number: 96661_141
N=2015089957096209347196953730648843583571666177493359928679107633571738316454743365018262094514942696123018144983268619721581
  ( 124 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=5702183833883065631875268399842515427562981 (pp43)
 r2=353389160328767591494337577441427885802869196342953627596968846890226914939770601 (pp81)
Version: Msieve-1.40
Total time: 7.20 hours.
Scaled time: 18.77 units (timescale=2.606).
Factorization parameters were as follows:
name: 96661_141
n: 2015089957096209347196953730648843583571666177493359928679107633571738316454743365018262094514942696123018144983268619721581
m: 10000000000000000000000000000
deg: 5
c5: 290
c0: -17
skew: 0.57
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1930001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 292919 x 293167
Total sieving time: 6.91 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 7.20 hours.
 --------- CPU info (if available) ----------

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

5463893714229277377635487936919083295043685054911095572299814851251240139014267978702043758139199776590806531568691610170476686856130761<136>

2227901551084541308537214018379508875154753513<46>
2452484362053366666245676388956146897982034938401984070514711864491820993378985801428080097<91>

Number: k1
N=5463893714229277377635487936919083295043685054911095572299814851251240139014267978702043758139199776590806531568691610170476686856130761
  ( 136 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=2227901551084541308537214018379508875154753513 (pp46)
 r2=2452484362053366666245676388956146897982034938401984070514711864491820993378985801428080097 (pp91)
Version: Msieve-1.40
Total time: 6.34 hours.
Scaled time: 12.30 units (timescale=1.939).
Factorization parameters were as follows:
n: 5463893714229277377635487936919083295043685054911095572299814851251240139014267978702043758139199776590806531568691610170476686856130761
m: 10000000000000000000000000000
deg: 5
c5: 2900
c0: -17
skew: 0.36
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 2060001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 266838 x 267064
Total sieving time: 6.20 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 6.34 hours.
 --------- CPU info (if available) ----------

32326807115320487190545968903161441238111929070666726623431436994454317557230206001955529775113221600709921438475366791561<122>

1325785573008940751001523436208943639<37>
72165751448170311815005557879998321321831<41>
337876809774968257198560525550848272795942729<45>

Number: k2
N=32326807115320487190545968903161441238111929070666726623431436994454317557230206001955529775113221600709921438475366791561
  ( 122 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1325785573008940751001523436208943639 (pp37)
 r2=72165751448170311815005557879998321321831 (pp41)
 r3=337876809774968257198560525550848272795942729 (pp45)
Version: Msieve-1.40
Total time: 8.71 hours.
Scaled time: 16.59 units (timescale=1.905).
Factorization parameters were as follows:
n: 32326807115320487190545968903161441238111929070666726623431436994454317557230206001955529775113221600709921438475366791561
m: 10000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 339267 x 339493
Total sieving time: 8.47 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 8.71 hours.
 --------- CPU info (if available) ----------

1062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271<145>

236071006643570684570667322362025001569313<42>
4499794690480229163264784426753312662185999916258271154178505416231386961680237665679618844941919099167<103>

Number: k3
N=1062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271
  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=236071006643570684570667322362025001569313 (pp42)
 r2=4499794690480229163264784426753312662185999916258271154178505416231386961680237665679618844941919099167 (pp103)
Version: Msieve-1.40
Total time: 6.73 hours.
Scaled time: 12.70 units (timescale=1.888).
Factorization parameters were as follows:
n: 1062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271062271
m: 100000000000000000000000000000
deg: 5
c5: 29
c0: -17
skew: 0.90
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2165001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 296899 x 297124
Total sieving time: 6.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 6.73 hours.
 --------- CPU info (if available) ----------

969575392845202273487128050819124038783015713808090939485122032764961551320628552323637579404881310598462052825142092945503176195252423938482113<144>

20508658148297511609345838937793847<35>
47276393503379439018960357838187663323077294384969962205561663100746063045698331924079608303164109429972180679<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=357337121
Step 1 took 74054ms
Step 2 took 35365ms
********** Factor found in step 2: 20508658148297511609345838937793847
Found probable prime factor of 35 digits: 20508658148297511609345838937793847
Probable prime cofactor 47276393503379439018960357838187663323077294384969962205561663100746063045698331924079608303164109429972180679 has 110 digits

GMP-ECM 6.3

2515461413689314493394745287846851769930694701050421990337158569483116049511219825305541821714503803551137595739328805502788692567245222791815209<145>

6676602543901548420264733466011914728263227546806717<52>
376757699316241773290414670294417844970759381357170365064528881506159834211427297169983994077<93>

Number: k4
N=2515461413689314493394745287846851769930694701050421990337158569483116049511219825305541821714503803551137595739328805502788692567245222791815209
  ( 145 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=6676602543901548420264733466011914728263227546806717 (pp52)
 r2=376757699316241773290414670294417844970759381357170365064528881506159834211427297169983994077 (pp93)
Version: Msieve-1.40
Total time: 13.42 hours.
Scaled time: 25.65 units (timescale=1.911).
Factorization parameters were as follows:
n: 2515461413689314493394745287846851769930694701050421990337158569483116049511219825305541821714503803551137595739328805502788692567245222791815209
m: 100000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 437298 x 437523
Total sieving time: 13.04 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 13.42 hours.
 --------- CPU info (if available) ----------

694552627455023794276432622121437237388687733373462896603194564961470581834523770399497457954708018545431639220500463<117>

3807460660968959922354650773774811<34>
182418858473055695691510190630295007883794743244581697936292334741553149534397124733<84>

Number: k5
N=694552627455023794276432622121437237388687733373462896603194564961470581834523770399497457954708018545431639220500463
  ( 117 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=3807460660968959922354650773774811 (pp34)
 r2=182418858473055695691510190630295007883794743244581697936292334741553149534397124733 (pp84)
Version: Msieve-1.40
Total time: 11.63 hours.
Scaled time: 22.23 units (timescale=1.911).
Factorization parameters were as follows:
n: 694552627455023794276432622121437237388687733373462896603194564961470581834523770399497457954708018545431639220500463
m: 1000000000000000000000000000000
deg: 5
c5: 29
c0: -17
skew: 0.90
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 411680 x 411906
Total sieving time: 11.30 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.63 hours.
 --------- CPU info (if available) ----------

32624527509963732204187666448374027348058932181406022954868190320431063808743966913111606659<92>

920482013615825976443059287793151027317259<42>
35442873437372740994201077438456998114329682826601<50>

Divisors found:
 r1=920482013615825976443059287793151027317259 (pp42)
 r2=35442873437372740994201077438456998114329682826601 (pp50)
Version: Msieve v. 1.46
Total time: 0.44 hours.
Scaled time: 1.32 units (timescale=3.000).
Factorization parameters were as follows:
name: test
type: gnfs
n:  32624527509963732204187666448374027348058932181406022954868190320431063808743966913111606659
skew:  1202897.92
Y0:  -13183641740806308699936
Y1:   839068655999
c0:  -599818285191961976228426429
c1:   2412545122325185543230
c2:   304742904084125
c3:  -824280798
c4:   1080
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [450000, 610001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 97771 x 97996
Total sieving time: 0.39 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,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,900000,900000,25,25,44,44,2.4,2.4,40000
total time: 0.44 hours.

1624372671320353319781218724861786966681525896645830621460129844941496513813883304109268790256867151545682977136860284851871<124>

4709028006674409508152192192311461387381<40>
344948611267128806394015878907778375190084912509894714562241343818330223582903604291<84>

Number: k6
N=1624372671320353319781218724861786966681525896645830621460129844941496513813883304109268790256867151545682977136860284851871
  ( 124 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=4709028006674409508152192192311461387381 (pp40)
 r2=344948611267128806394015878907778375190084912509894714562241343818330223582903604291 (pp84)
Version: Msieve-1.40
Total time: 14.99 hours.
Scaled time: 27.72 units (timescale=1.850).
Factorization parameters were as follows:
n: 1624372671320353319781218724861786966681525896645830621460129844941496513813883304109268790256867151545682977136860284851871
m: 1000000000000000000000000000000
deg: 5
c5: 2900
c0: -17
skew: 0.36
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 431359 x 431591
Total sieving time: 14.59 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 14.99 hours.
 --------- CPU info (if available) ----------

682425728556904903217150479006074882935279506292044153817688989816511566498268527056111694286844613480860697860863608912857<123>

2218826213342287309156573344611166437707<40>
307561594708648086700976224145465322493918557887939298995412884104657416694075401451<84>

Number: k7
N=682425728556904903217150479006074882935279506292044153817688989816511566498268527056111694286844613480860697860863608912857
  ( 123 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=2218826213342287309156573344611166437707 (pp40)
 r2=307561594708648086700976224145465322493918557887939298995412884104657416694075401451 (pp84)
Version: Msieve-1.40
Total time: 20.78 hours.
Scaled time: 40.19 units (timescale=1.934).
Factorization parameters were as follows:
n: 682425728556904903217150479006074882935279506292044153817688989816511566498268527056111694286844613480860697860863608912857
m: 1000000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 590821 x 591069
Total sieving time: 20.22 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:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 20.78 hours.
 --------- CPU info (if available) ----------

53529768611454665432185920410890834415974548416264004551636465595459936565072199957710508057334959883061570219714665309669409<125>

2223941322379077692380564215427<31>

24069775615388448830569681852498147537505479016330803475753615061792504551407746546612046595467<95>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=902798700
Step 1 took 1853ms
Step 2 took 1326ms
********** Factor found in step 2: 2223941322379077692380564215427
Found probable prime factor of 31 digits: 2223941322379077692380564215427
Composite cofactor has 95 digits

24069775615388448830569681852498147537505479016330803475753615061792504551407746546612046595467<95>

279320764968077044535177214463188427942778911<45>
86172525047106077165225346433540934393492157650197<50>

Fri Oct 08 12:07:40 2010  Msieve v. 1.42
Fri Oct 08 12:07:40 2010  random seeds: 875cf020 6dac4290
Fri Oct 08 12:07:40 2010  factoring 24069775615388448830569681852498147537505479016330803475753615061792504551407746546612046595467 (95 digits)
Fri Oct 08 12:07:41 2010  searching for 15-digit factors
Fri Oct 08 12:07:41 2010  searching for 20-digit factors
Fri Oct 08 12:07:47 2010  searching for 25-digit factors
Fri Oct 08 12:08:56 2010  commencing quadratic sieve (95-digit input)
Fri Oct 08 12:08:56 2010  using multiplier of 3
Fri Oct 08 12:08:56 2010  using 32kb Intel Core sieve core
Fri Oct 08 12:08:56 2010  sieve interval: 36 blocks of size 32768
Fri Oct 08 12:08:56 2010  processing polynomials in batches of 6
Fri Oct 08 12:08:56 2010  using a sieve bound of 2128183 (78778 primes)
Fri Oct 08 12:08:56 2010  using large prime bound of 310714718 (28 bits)
Fri Oct 08 12:08:56 2010  using double large prime bound of 1933086450144842 (43-51 bits)
Fri Oct 08 12:08:56 2010  using trial factoring cutoff of 51 bits
Fri Oct 08 12:08:56 2010  polynomial 'A' values have 12 factors
Fri Oct 08 14:38:28 2010  79047 relations (19396 full + 59651 combined from 1162825 partial), need 78874
Fri Oct 08 14:38:32 2010  begin with 1182221 relations
Fri Oct 08 14:38:32 2010  reduce to 204518 relations in 11 passes
Fri Oct 08 14:38:32 2010  attempting to read 204518 relations
Fri Oct 08 14:38:35 2010  recovered 204518 relations
Fri Oct 08 14:38:35 2010  recovered 187841 polynomials
Fri Oct 08 14:38:35 2010  attempting to build 79047 cycles
Fri Oct 08 14:38:35 2010  found 79047 cycles in 5 passes
Fri Oct 08 14:38:35 2010  distribution of cycle lengths:
Fri Oct 08 14:38:35 2010     length 1 : 19396
Fri Oct 08 14:38:35 2010     length 2 : 13981
Fri Oct 08 14:38:35 2010     length 3 : 13560
Fri Oct 08 14:38:35 2010     length 4 : 10857
Fri Oct 08 14:38:35 2010     length 5 : 7884
Fri Oct 08 14:38:35 2010     length 6 : 5420
Fri Oct 08 14:38:35 2010     length 7 : 3367
Fri Oct 08 14:38:35 2010     length 9+: 4582
Fri Oct 08 14:38:35 2010  largest cycle: 22 relations
Fri Oct 08 14:38:35 2010  matrix is 78778 x 79047 (21.0 MB) with weight 5187951 (65.63/col)
Fri Oct 08 14:38:35 2010  sparse part has weight 5187951 (65.63/col)
Fri Oct 08 14:38:36 2010  filtering completed in 3 passes
Fri Oct 08 14:38:36 2010  matrix is 74812 x 74876 (20.0 MB) with weight 4940888 (65.99/col)
Fri Oct 08 14:38:36 2010  sparse part has weight 4940888 (65.99/col)
Fri Oct 08 14:38:36 2010  saving the first 48 matrix rows for later
Fri Oct 08 14:38:36 2010  matrix is 74764 x 74876 (13.0 MB) with weight 3942209 (52.65/col)
Fri Oct 08 14:38:36 2010  sparse part has weight 2970525 (39.67/col)
Fri Oct 08 14:38:36 2010  matrix includes 64 packed rows
Fri Oct 08 14:38:36 2010  using block size 29950 for processor cache size 6144 kB
Fri Oct 08 14:38:37 2010  commencing Lanczos iteration
Fri Oct 08 14:38:37 2010  memory use: 12.9 MB
Fri Oct 08 14:39:11 2010  lanczos halted after 1183 iterations (dim = 74764)
Fri Oct 08 14:39:11 2010  recovered 18 nontrivial dependencies
Fri Oct 08 14:39:11 2010  prp45 factor: 279320764968077044535177214463188427942778911
Fri Oct 08 14:39:11 2010  prp50 factor: 86172525047106077165225346433540934393492157650197
Fri Oct 08 14:39:11 2010  elapsed time 02:31:31

191856924300308770978595479410877206336736397148308707094621964189315937012587327311087447357175996198069567178627651892294314464807651454600091209<147>

78843283362579970492960385835812407815982183828257617531875009520059<68>
2433395923125222334718891219814745137040176978013271042143133325445389298619851<79>

Number: 96661_157
N=191856924300308770978595479410877206336736397148308707094621964189315937012587327311087447357175996198069567178627651892294314464807651454600091209
  ( 147 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=78843283362579970492960385835812407815982183828257617531875009520059 (pp68)
 r2=2433395923125222334718891219814745137040176978013271042143133325445389298619851 (pp79)
Version: Msieve-1.40
Total time: 26.42 hours.
Scaled time: 73.97 units (timescale=2.800).
Factorization parameters were as follows:
name: 96661_157
n: 191856924300308770978595479410877206336736397148308707094621964189315937012587327311087447357175996198069567178627651892294314464807651454600091209
m: 10000000000000000000000000000000
deg: 5
c5: 2900
c0: -17
skew: 0.36
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 518202 x 518450
Total sieving time: 25.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 26.42 hours.
 --------- CPU info (if available) ----------

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

245242486045068296226876699097025623019508363233889196569548105201584672378448733030805585203117015084357918385161104440233602770259122365091474178799193<153>

936447201099614813185707286607071037153374574771815369663<57>
261886079382900054557599987489543604037942114646074393330788848988000209769681357400247442318311<96>

Number: 96661_158
N=245242486045068296226876699097025623019508363233889196569548105201584672378448733030805585203117015084357918385161104440233602770259122365091474178799193
  ( 153 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=936447201099614813185707286607071037153374574771815369663 (pp57)
 r2=261886079382900054557599987489543604037942114646074393330788848988000209769681357400247442318311 (pp96)
Version: Msieve-1.40
Total time: 38.36 hours.
Scaled time: 119.94 units (timescale=3.127).
Factorization parameters were as follows:
name: 96661_158
n: 245242486045068296226876699097025623019508363233889196569548105201584672378448733030805585203117015084357918385161104440233602770259122365091474178799193
m: 10000000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 621411 x 621659
Total sieving time: 37.34 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 38.36 hours.
 --------- CPU info (if available) ----------

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

405719979616460339939536055090147404937853625271914754494062631561261364445720942096174743181106623377128300861331904740121796102595396165840705429749507883<156>

138083422714016232937543645439851<33>

2938223659597029330473151318744160313474824633117643040698639222668442264283375297493248576681944060694244662900180054912833<124>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1153137377
Step 1 took 2623ms
Step 2 took 1638ms
********** Factor found in step 2: 138083422714016232937543645439851
Found probable prime factor of 33 digits: 138083422714016232937543645439851
Composite cofactor 2938223659597029330473151318744160313474824633117643040698639222668442264283375297493248576681944060694244662900180054912833 has 124 digits

2938223659597029330473151318744160313474824633117643040698639222668442264283375297493248576681944060694244662900180054912833<124>

23122394299875858675376843181150723945815373<44>
127072638823255613117021806600660821230281837552064098534352535241543468109230021<81>

Number: 96661_163
N=2938223659597029330473151318744160313474824633117643040698639222668442264283375297493248576681944060694244662900180054912833
  ( 124 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=23122394299875858675376843181150723945815373 (pp44)
 r2=127072638823255613117021806600660821230281837552064098534352535241543468109230021 (pp81)
Version: Msieve-1.40
Total time: 51.32 hours.
Scaled time: 158.93 units (timescale=3.097).
Factorization parameters were as follows:
name: 96661_163
n: 2938223659597029330473151318744160313474824633117643040698639222668442264283375297493248576681944060694244662900180054912833
m: 100000000000000000000000000000000
deg: 5
c5: 29000
c0: -17
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, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 797036 x 797284
Total sieving time: 49.85 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.09 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: 51.32 hours.
 --------- CPU info (if available) ----------

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

1658912669681989382537050255212415404982805054364676786470310971357347400897574308393603766859068448002007776320338082108220279893493470574802597954142044119<157>

13861970193846796666479878915594329131778672917868507975831853513449589<71>
119673657242342486727837318944267532845029274577790988315334805110664425030841097999771<87>

Number: 96661_167
N=1658912669681989382537050255212415404982805054364676786470310971357347400897574308393603766859068448002007776320338082108220279893493470574802597954142044119
  ( 157 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=13861970193846796666479878915594329131778672917868507975831853513449589 (pp71)
 r2=119673657242342486727837318944267532845029274577790988315334805110664425030841097999771 (pp87)
Version: Msieve-1.40
Total time: 54.79 hours.
Scaled time: 177.40 units (timescale=3.238).
Factorization parameters were as follows:
name: 96661_167
n: 1658912669681989382537050255212415404982805054364676786470310971357347400897574308393603766859068448002007776320338082108220279893493470574802597954142044119
m: 1000000000000000000000000000000000
deg: 5
c5: 2900
c0: -17
skew: 0.36
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 877034 x 877282
Total sieving time: 52.72 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 54.79 hours.
 --------- CPU info (if available) ----------

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

646075850484444954520098760353410870503621180453357821602096140831419917755738897653763189167584664266615391286507569861251646900437807804963390625751259<153>

792393121421893077935342187243528226360171749720106385842082720079421392701<75>
815347626093860846326157449229791996308357034153112805535814437986992002451959<78>

Number: 96661_168
N=646075850484444954520098760353410870503621180453357821602096140831419917755738897653763189167584664266615391286507569861251646900437807804963390625751259
  ( 153 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=792393121421893077935342187243528226360171749720106385842082720079421392701 (pp75)
 r2=815347626093860846326157449229791996308357034153112805535814437986992002451959 (pp78)
Version: Msieve-1.40
Total time: 86.80 hours.
Scaled time: 225.24 units (timescale=2.595).
Factorization parameters were as follows:
name: 96661_168
n: 646075850484444954520098760353410870503621180453357821602096140831419917755738897653763189167584664266615391286507569861251646900437807804963390625751259
m: 1000000000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 6450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1026044 x 1026292
Total sieving time: 83.50 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.46 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 86.80 hours.
 --------- CPU info (if available) ----------

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

441152559470073677434459585802466782456348277319243612063721982543466014679261210815258058256074844124792874244502775419900257643904347384334927<144>

1599479265475592351319084652079453<34>

275810114574320847183018777935481344228525236407311775610282011887008556555767416686951827827948077660032322459<111>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=494494880
Step 1 took 5803ms
Step 2 took 4321ms
********** Factor found in step 2: 1599479265475592351319084652079453
Found probable prime factor of 34 digits: 1599479265475592351319084652079453
Composite cofactor 275810114574320847183018777935481344228525236407311775610282011887008556555767416686951827827948077660032322459 has 111 digits

GMP-ECM 6.3

275810114574320847183018777935481344228525236407311775610282011887008556555767416686951827827948077660032322459<111>

20204244666631457268939363041901369599883079<44>
13651097535451947808799981858260847196143107379535863593076982078221<68>

Number: 96661_169
N = 275810114574320847183018777935481344228525236407311775610282011887008556555767416686951827827948077660032322459 (111 digits)
Divisors found:
r1=20204244666631457268939363041901369599883079 (pp44)
r2=13651097535451947808799981858260847196143107379535863593076982078221 (pp68)
Version: Msieve v. 1.47
Total time: 19.36 hours.
Factorization parameters were as follows:
n: 275810114574320847183018777935481344228525236407311775610282011887008556555767416686951827827948077660032322459
Y0: -3233728424608625241472
Y1: 296123011771
c0: -64814733721505645209629135
c1: 71704482175263888684
c2: 251681158961180100
c3: -1674604544012
c4: -41866313
c5: 780
skew: 46049.00  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1600000, 2400000)
Relations: 7847330
Relations in full relation-set: 652628 relations
Pruned matrix : 383172 x 383410
Polynomial selection time: 1.69 hours.
Total sieving time: 17.42 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,110,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 19.36 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

24032540947779228155751811924802721537268029903057351753354848392815966047897619969737215251844248745379572128830352895330884332740833008813<140>

336167972304483582471481175489700947929927107436562917410311622643<66>
71489680539857598674612101042520247193373452927425744970848594319893588191<74>

Number: 96661_171
N=24032540947779228155751811924802721537268029903057351753354848392815966047897619969737215251844248745379572128830352895330884332740833008813
  ( 140 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=336167972304483582471481175489700947929927107436562917410311622643 (pp66)
 r2=71489680539857598674612101042520247193373452927425744970848594319893588191 (pp74)
Version: Msieve v. 1.42
Total time: 5.43 hours.
Scaled time: 4.64 units (timescale=0.854).
Factorization parameters were as follows:
name: 96661_171
n: 24032540947779228155751811924802721537268029903057351753354848392815966047897619969737215251844248745379572128830352895330884332740833008813
m: 10000000000000000000000000000000000
deg: 5
c5: 290
c0: -17
skew: 0.57
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1132584 x 1132829
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 4.83 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 5.43 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 49 hours.

770066328912111830240268859493418192540134374652911479638332392913683532023778861954787228635854824217097597220755007707712626855721<132>

2834128691606351204386943885038028307968282874578981<52>
271711842582436574064594139340734397165219451435065933636097763418197538705967541<81>

Number: 96661_172
N = 770066328912111830240268859493418192540134374652911479638332392913683532023778861954787228635854824217097597220755007707712626855721 (132 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=2834128691606351204386943885038028307968282874578981 (pp52)
r2=271711842582436574064594139340734397165219451435065933636097763418197538705967541 (pp81)
Version: Msieve v. 1.48
Total time: 15.69 hours.
Factorization parameters were as follows:
n: 770066328912111830240268859493418192540134374652911479638332392913683532023778861954787228635854824217097597220755007707712626855721
m: 10000000000000000000000000000000000
deg: 5
c5: 2900
c0: -17
skew: 0.36
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12265218
Relations: 1396692 relations
Pruned matrix : 912822 x 913048
Polynomial selection time: 0.00 hours.
Total sieving time: 15.10 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.49 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 15.69 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz

ggnfs svn413

Intel Core2 i7 3.4 Ghz
Windows 7

514899200128477582255286393255084385523924989226784853321714964114001959793353952071723751275521428998323815363205012940405177552556626281053089819177<150>

5669434821336123261176515686295986478843722253429486794622007<61>
90820199253499946128316030233508296139653624877173332906177858411272177259522464744625311<89>

Number: n
N=514899200128477582255286393255084385523924989226784853321714964114001959793353952071723751275521428998323815363205012940405177552556626281053089819177
  ( 150 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed Jan 18 23:27:56 2012  prp61 factor: 5669434821336123261176515686295986478843722253429486794622007
Wed Jan 18 23:27:56 2012  prp89 factor: 90820199253499946128316030233508296139653624877173332906177858411272177259522464744625311
Wed Jan 18 23:27:56 2012  elapsed time 02:45:04 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.558).
Factorization parameters were as follows:
name: KA_96661_174
n: 514899200128477582255286393255084385523924989226784853321714964114001959793353952071723751275521428998323815363205012940405177552556626281053089819177
m: 10000000000000000000000000000000000
deg: 5
c5: 290000
c0: -17
skew: 0.14
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7173958 hash collisions in 75000096 relations
Msieve: matrix is 1041714 x 1041956 (290.6 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,175,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<177>

3668834876425175138956926167008067396268695987333580679571794659187<67>
263480559694352753717709576939434384618618648703241905591960467352353761959809529265411496526557816707126759303<111>

Number: 96661_176
N=966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=3668834876425175138956926167008067396268695987333580679571794659187 (pp67)
 r2=263480559694352753717709576939434384618618648703241905591960467352353761959809529265411496526557816707126759303 (pp111)
Version: Msieve-1.40
Total time: 122.37 hours.
Scaled time: 364.92 units (timescale=2.982).
Factorization parameters were as follows:
name: 96661_176
n: 966666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 100000000000000000000000000000000000
deg: 5
c5: 290
c0: -17
skew: 0.57
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1435358 x 1435606
Total sieving time: 117.46 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.60 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 122.37 hours.
 --------- CPU info (if available) ----------

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

97202228325653480676561642045580300997748935008767899492796890911126583202331976046215278834323253<98>

83864632075995498603550414726548122551<38>
1159037199824258106514486966604072272414018745263655370175603<61>

Number: 9898
N=97202228325653480676561642045580300997748935008767899492796890911126583202331976046215278834323253
  ( 98 digits)
Divisors found:
 r1=83864632075995498603550414726548122551 (pp38)
 r2=1159037199824258106514486966604072272414018745263655370175603 (pp61)
Version: Msieve-1.40
Total time: 3.38 hours.
Scaled time: 6.44 units (timescale=1.905).
Factorization parameters were as follows:
name: 9898
n: 97202228325653480676561642045580300997748935008767899492796890911126583202331976046215278834323253
skew: 5013.98
# norm 4.64e+013
c5: 27000
c4: 777913260
c3: -1613156982586
c2: -2929634903354509
c1: 4653597852145788308
c0: -32344113184431995072454
# alpha -6.02
Y1: 9504987487
Y0: -5143489610339887247
# Murphy_E 4.34e-009
# M 31802687700594873082440881987603031838921005956130231262964140354917198393453440017397063450442170
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, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146203 x 146428
Total sieving time: 3.28 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
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: 3.38 hours.
 --------- CPU info (if available) ----------

1823899371069182389937106918238993710691823899371069182389937106918238993710691823899371069182389937106918238993710691823899371069182389937106918238993710691823899371069182389937<178>

586058214030390207889294341014069249<36>
3112147099732661698679249089680970618181946679224313143801659666966933946869910234519654980117552577278931145650162382188471884220014395035313<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=648359985
Step 1 took 9270ms
Step 2 took 4229ms
********** Factor found in step 2: 586058214030390207889294341014069249
Found probable prime factor of 36 digits: 586058214030390207889294341014069249
Probable prime cofactor has 142 digits

241264474143927612066744870682400344655918615707848331122604910171266644373612949687488342116208361590883702909405406847397972434207872784233797829184807380955072477461593<171>

6368092409176877836092686767269373<34>
37886459341615112721456494077656247567590016886622607504457716324022006273499060797922285847366746143463655107337059831672389081653760141<137>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1043627291
Step 1 took 2563ms
Step 2 took 1689ms
********** Factor found in step 2: 6368092409176877836092686767269373
Found probable prime factor of 34 digits: 6368092409176877836092686767269373
Probable prime cofactor 37886459341615112721456494077656247567590016886622607504457716324022006273499060797922285847366746143463655107337059831672389081653760141 has 137 digits

4980276777651874477530458264985120233507259927886155082940107116724790929592047770159477480265129327660975971537393490150592971722488302519359449<145>

7565329023943289758913371807901<31>
658302733680179854166438915890670890162040185662049964593269124313529179618222621218753894395420526186451602602349<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2158744536
Step 1 took 48459ms
Step 2 took 19945ms
********** Factor found in step 2: 7565329023943289758913371807901
Found probable prime factor of 31 digits: 7565329023943289758913371807901
Probable prime cofactor 658302733680179854166438915890670890162040185662049964593269124313529179618222621218753894395420526186451602602349 has 114 digits

8364339073000490323324968994260332843010008364339073000490323324968994260332843010008364339073000490323324968994260332843010008364339073000490323324968994260332843010008364339073<178>

314005345826963879064152578833286412373857137<45>

26637569022820878782728704211205643242610423147201172577453662473476643443711329389158096942060352658091047238914988395753868766893329<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2311419991
Step 1 took 18291ms
Step 2 took 7153ms
********** Factor found in step 2: 314005345826963879064152578833286412373857137
Found probable prime factor of 45 digits: 314005345826963879064152578833286412373857137
Composite cofactor 26637569022820878782728704211205643242610423147201172577453662473476643443711329389158096942060352658091047238914988395753868766893329 has 134 digits

GMP-ECM 6.2.3

26637569022820878782728704211205643242610423147201172577453662473476643443711329389158096942060352658091047238914988395753868766893329<134>

155862407952084718091122567315003099955443260051675197892315137<63>
170904385302515091284629220954976756099789964511849687402071142980128017<72>

Number: n
N=26637569022820878782728704211205643242610423147201172577453662473476643443711329389158096942060352658091047238914988395753868766893329
  ( 134 digits)
Divisors found:

Thu Apr 26 15:34:29 2012  prp63 factor: 155862407952084718091122567315003099955443260051675197892315137
Thu Apr 26 15:34:29 2012  prp72 factor: 170904385302515091284629220954976756099789964511849687402071142980128017
Thu Apr 26 15:34:29 2012  elapsed time 02:52:15 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_96661_181
n: 26637569022820878782728704211205643242610423147201172577453662473476643443711329389158096942060352658091047238914988395753868766893329
skew: 192202.28
# norm 7.73e+18
c5: 240120
c4: 942174031518
c3: -18114586539808754
c2: -29497336176936415262366
c1: 410905162872848002961707191
c0: 116893982895449145435467275795236
# alpha -6.96
Y1: 357785957732159
Y0: -40645292257300752512568281
# Murphy_E 4.42e-11
# M 16974735801967219055554362300350384104601009655662604441626432106420881833045636900426898669830139298484153152730931112952133078526076
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20580000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3100599 hash collisions in 12890457 relations (9673293 unique)
Msieve: matrix is 1261794 x 1262019 (367.6 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,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

23983524320809351108457567465928282666272112989678452300716942708465136170080200875951028932778820431145017148955415613638966641807071609236104354684545339047<158>

15107689803625087508829306588042441517<38>
1587504418779799719592309012503799587387153049412550278384198688185790839011958583004603854056943258696859390592274333091<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:439847642
Step 1 took 35719ms
Step 2 took 20484ms
********** Factor found in step 2: 15107689803625087508829306588042441517
Found probable prime factor of 38 digits: 15107689803625087508829306588042441517
Probable prime cofactor 1587504418779799719592309012503799587387153049412550278384198688185790839011958583004603854056943258696859390592274333091 has 121 digits

GMP-ECM 7.0

7954789947084951368167231433597800860020164797919949565032034150168450701634096662716451613163869308249206616136010729064179779507204117715584398154617241390019<160>

5449144359607082274969626283630799235730421802957715258404341910194443711211<76>
1459823675447376469517774571031247095468181892895386716788525416258014890645179425929<85>

N=7954789947084951368167231433597800860020164797919949565032034150168450701634096662716451613163869308249206616136010729064179779507204117715584398154617241390019
  ( 160 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=5449144359607082274969626283630799235730421802957715258404341910194443711211 (pp76)
 r2=1459823675447376469517774571031247095468181892895386716788525416258014890645179425929 (pp85)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 234.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7954789947084951368167231433597800860020164797919949565032034150168450701634096662716451613163869308249206616136010729064179779507204117715584398154617241390019
m: 1000000000000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
# Murphy_E = 4.477e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 15750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2015902 x 2016130
Total sieving time: 229.89 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.91 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 234.35 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

195495859224013676324586742821649884738206442019285997776811785998112019772202045814780480521221902567369750017374576516895028578542968138343120441522479651266272793622385611401<177>

9186388424629828589068721164701897073704024416348113122794771<61>
21281035613502409387148869965507472093201414810128520858857573747470227517522117981258348060817508114429866568028531<116>

Number: n
N=195495859224013676324586742821649884738206442019285997776811785998112019772202045814780480521221902567369750017374576516895028578542968138343120441522479651266272793622385611401
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Jan 25 18:16:50 2012  prp61 factor: 9186388424629828589068721164701897073704024416348113122794771
Wed Jan 25 18:16:50 2012  prp116 factor: 21281035613502409387148869965507472093201414810128520858857573747470227517522117981258348060817508114429866568028531
Wed Jan 25 18:16:50 2012  elapsed time 02:37:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_96661_185
n: 195495859224013676324586742821649884738206442019285997776811785998112019772202045814780480521221902567369750017374576516895028578542968138343120441522479651266272793622385611401
m: 10000000000000000000000000000000000000
deg: 5
c5: 29
c0: -17
skew: 0.90
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6174804 hash collisions in 76000093 relations
Msieve: matrix is 1201431 x 1201671 (335.5 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,186,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

4322058300703413630657915681211743632891672179528773779797165311839894873546662264252043603922069277816120037366586338049127443115981239955432211<145>

5202698326478831941731964581526708131365783<43>
102608716133386585054195347443995404024938871521<48>
8096134654475427703613051968037655048390861589543462277<55>

N=4322058300703413630657915681211743632891672179528773779797165311839894873546662264252043603922069277816120037366586338049127443115981239955432211
  ( 145 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=5202698326478831941731964581526708131365783 (pp43)
 r2=102608716133386585054195347443995404024938871521 (pp48)
 r3=8096134654475427703613051968037655048390861589543462277 (pp55)
Version: Msieve-1.40
Total time: 1.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4322058300703413630657915681211743632891672179528773779797165311839894873546662264252043603922069277816120037366586338049127443115981239955432211
m: 10000000000000000000000000000000000000
deg: 5
c5: 290
c0: -17
skew: 0.57
# Murphy_E = 4.405e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 16170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 1.02 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 1.02 hours.
 --------- CPU info (if available) ----------

166293938872641779918573312689947818108836515855266930443259361201903778886404036928722977234933195710763231836687883479557314066173519123802970353804690635930959343999082516199323355697<186>

10612599361439591201934081012568257003173<41>

15669482396260375829551330048292078145059618002113339634754359141428240625110894324021067866321711159057694632089488630823129901171587130348172189<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3437244812
Step 1 took 9145ms
Step 2 took 4355ms
********** Factor found in step 2: 10612599361439591201934081012568257003173
Found probable prime factor of 41 digits: 10612599361439591201934081012568257003173
Composite cofactor 15669482396260375829551330048292078145059618002113339634754359141428240625110894324021067866321711159057694632089488630823129901171587130348172189 has 146 digits

15669482396260375829551330048292078145059618002113339634754359141428240625110894324021067866321711159057694632089488630823129901171587130348172189<146>

3092009511528700977802878141478551398612869906411500889562575129<64>
5067734215511298857245140200822174218969059502433877588549772652228793412001551141<82>

15669482396260375829551330048292078145059618002113339634754359141428240625110894324021067866321711159057694632089488630823129901171587130348172189 == 3092009511528700977802878141478551398612869906411500889562575129 * 5067734215511298857245140200822174218969059502433877588549772652228793412001551141

-- no interesting portion of the logfile is present; much of the factorization was run by hand with bwc.pl and MPI, but that threw out a lot of the output.  :/

$ cat 96661_188.poly
n: 15669482396260375829551330048292078145059618002113339634754359141428240625110894324021067866321711159057694632089488630823129901171587130348172189
skew: 0.23
c0: -17
c5: 29000
Y0: -10000000000000000000000000000000000000
Y1: 1
# f(x) = 29000*x^5-17
# g(x) = x-10000000000000000000000000000000000000

$ cat 96661_188.characters.stderr.1
/pkg/cado-nfs/lib/cado-nfs-3.0.0/linalg/characters.r3c90773d0 -poly ./96661_188.poly -purged ./96661_188.purged.gz -index ./96661_188.index.gz -heavyblock ./96661_188.dense.bin -out ./96661_188.kernel -ker W -lpb0 28 -lpb1 28 -nchar 50 -t 16
Note: total 64 characters, including 14 trivial padding characters
Reading 6438570 (a,b) pairs from ./96661_188.purged.gz
Computing 64 characters for 6438570 (a,b) pairs
done building big character matrix at 8.9
done building small character matrix at 13.0
done reading heavy block of size 1654841 x 32 at 13.2
W: 64 vectors
Total: 64 kernel vectors
done reading 64 kernel vectors at 13.3
Info: input kernel vectors reduced to dimension 62
done multiplying matrices at 13.5
Computing left nullspace of 62 x 96 matrix
dim of ker = 29
Wrote 29 non-zero dependencies to ./96661_188.kernel
This includes 0 discarded zero dependencies, as well as 35 padding zeros

CADO-NFS 3.0.0-dev

6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM and ompi 4.1.0a1

5680071297633066797150596352342028093296512684913972302018165998040777633210156259749712506850566171488219406709<112>

4395170036217948608099206187112473<34>
197973519131676363479889225181290303427<39>
6527862570306763135342422196732909374079<40>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3856020391
Step 1 took 12699ms
Step 2 took 8174ms
********** Factor found in step 2: 6527862570306763135342422196732909374079
Found probable prime factor of 40 digits: 6527862570306763135342422196732909374079
Composite cofactor 870127279252164744151504241225299540618322179490106055182880967146344971 has 72 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3864295187
Step 1 took 9048ms
Step 2 took 5975ms
********** Factor found in step 2: 4395170036217948608099206187112473
Found probable prime factor of 34 digits: 4395170036217948608099206187112473
Probable prime cofactor 197973519131676363479889225181290303427 has 39 digits

GMP-ECM 6.3

223757150661181654283059528447194275093278690733635317986970753668071317758439404207937054400153495976220877636049638693779086229480799948633684780054059337968311<162>

5637310825352653289164486809351027876939827<43>
39692179053686307386762074572011393872649022654281965257575327980168087031914437533809322863573640379345076821823037293<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4092272056
Step 1 took 19393ms
Step 2 took 7961ms
********** Factor found in step 2: 5637310825352653289164486809351027876939827
Found probable prime factor of 43 digits: 5637310825352653289164486809351027876939827

198382565561455037980423407902425220521759733842698391077188860117279448078833670590353977474436735018548597405851508016019128738110025322879838978238731665386475928354799570347617<180>

232403972318429133884486445495099822706693<42>
251734782242105692491707147076789946685412987080420051681279<60>
3390913640246559485411706012180093135629337480752612992886912115861347455715411<79>

Number: n
N=198382565561455037980423407902425220521759733842698391077188860117279448078833670590353977474436735018548597405851508016019128738110025322879838978238731665386475928354799570347617
  ( 180 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Mar  7 05:42:04 2012  prp42 factor: 232403972318429133884486445495099822706693
Wed Mar  7 05:42:04 2012  prp60 factor: 251734782242105692491707147076789946685412987080420051681279
Wed Mar  7 05:42:04 2012  prp79 factor: 3390913640246559485411706012180093135629337480752612992886912115861347455715411
Wed Mar  7 05:42:04 2012  elapsed time 04:22:20 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_96661_191
n: 198382565561455037980423407902425220521759733842698391077188860117279448078833670590353977474436735018548597405851508016019128738110025322879838978238731665386475928354799570347617
m: 100000000000000000000000000000000000000
#  c180, diff: 192.46
skew: 0.57
deg: 5
c5: 290
c0: -17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10575166 hash collisions in 77452528 relations (70742804 unique)
Msieve: matrix is 1457059 x 1457287 (409.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

728238597347540212337886538255928253220883480093667388431857035380691029600772307283333661509638613500674571662518880836579313491499062875085827301306786347441381<162>

445450252117489607864873043140805127502603062227041642919869840573<66>
1634837097713582262839466580644612454925656619228855403613709421250320496550245699355263343994697<97>

728238597347540212337886538255928253220883480093667388431857035380691029600772307283333661509638613500674571662518880836579313491499062875085827301306786347441381=445450252117489607864873043140805127502603062227041642919869840573*1634837097713582262839466580644612454925656619228855403613709421250320496550245699355263343994697

cado polynomial
n:  728238597347540212337886538255928253220883480093667388431857035380691029600772307283333661509638613500674571662518880836579313491499062875085827301306786347441381
skew: 0.39
type: snfs
c0: -17
c6: 290
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 290*x^6-1
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 1634837097713582262839466580644612454925656619228855403613709421250320496550245699355263343994697 445450252117489607864873043140805127502603062227041642919869840573
Info:Square Root: Total cpu/real time for sqrt: 1820.93/530.579
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25777217
Info:Lattice Sieving: Average J: 1938.19 for 2186416 special-q, max bucket fill -bkmult 1.0,1s:1.176740
Info:Lattice Sieving: Total time: 523734s
Info:Square Root: Total cpu/real time for sqrt: 1820.93/530.579
Info:Generate Free Relations: Total cpu/real time for freerel: 183.09/46.7786
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.24/124.568
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.5s
Info:Filtering - Merging: Merged matrix has 2146586 rows and total weight 366046927 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 584.5/161.805
Info:Filtering - Merging: Total cpu/real time for replay: 85.35/73.5677
Info:Linear Algebra: Total cpu/real time for bwc: 78572.2/20144.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 50268.65, WCT time 12841.56, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 476.98, WCT time 120.86
Info:Linear Algebra: Mksol: CPU time 27098.08,  WCT time 6938.13, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 75.4/33.2588
Info:Generate Factor Base: Total cpu/real time for makefb: 8/3.35694
Info:Filtering - Singleton removal: Total cpu/real time for purge: 363.98/428.187
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 472.01/467.525
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 383.80000000000007s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.07906e+06/136732
Info:root: Cleaning up computation data in /tmp/cado.cfr4nhg6
1634837097713582262839466580644612454925656619228855403613709421250320496550245699355263343994697 445450252117489607864873043140805127502603062227041642919869840573

cado-nfs-3.0.0

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

27145145622131684626258350694937446823292473552654771159420064637356201452895246030796195043134236257573966763348514244636595599322897678014341<143>

37954314110794333595672629015889717090535551936859579787<56>
715205800923998640289602334199235224710428045309374064104817976486874728181476815370543<87>

27145145622131684626258350694937446823292473552654771159420064637356201452895246030796195043134236257573966763348514244636595599322897678014341=37954314110794333595672629015889717090535551936859579787*715205800923998640289602334199235224710428045309374064104817976486874728181476815370543

Info:Square Root: Factors: 715205800923998640289602334199235224710428045309374064104817976486874728181476815370543 37954314110794333595672629015889717090535551936859579787
Info:Square Root: Total cpu/real time for sqrt: 22963/4027.97
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): 78367/42.770/51.330/56.670/0.943
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78367/40.970/45.907/52.020/1.218
Info:Polynomial Selection (size optimized): Total time: 38950
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1823.35
Info:Polynomial Selection (root optimized): Rootsieve time: 1821.81
Info:Generate Factor Base: Total cpu/real time for makefb: 56.56/33.6692
Info:Generate Free Relations: Total cpu/real time for freerel: 1331.46/776.987
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45989999
Info:Lattice Sieving: Average J: 3810.74 for 750562 special-q, max bucket fill -bkmult 1.0,1s:1.178140
Info:Lattice Sieving: Total time: 391499s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 289.63/629.051
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 628.3000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1770.59/1415.75
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1286.3000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1107.75/803.154
Info:Filtering - Merging: Total cpu/real time for merge: 1551.84/1334.31
Info:Filtering - Merging: Total cpu/real time for replay: 119.74/93.2578
Info:Linear Algebra: Total cpu time for bwc: 518296
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Quadratic Characters: Total cpu/real time for characters: 344.65/110.427
Info:Square Root: Total cpu/real time for sqrt: 22963/4027.97
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.6044e+06/4189.23
715205800923998640289602334199235224710428045309374064104817976486874728181476815370543 37954314110794333595672629015889717090535551936859579787

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)

39016225725291850959635546567555326019793518574237782976923122071740386403846544315489556205770737553563704892852693405927127796989910217047593883946161<152>

30800506177568109426614043235430427352003412896455052106959657854799361909<74>
1266739757468895708737906435299354373920102090214975078607526387855305290241229<79>

39016225725291850959635546567555326019793518574237782976923122071740386403846544315489556205770737553563704892852693405927127796989910217047593883946161=30800506177568109426614043235430427352003412896455052106959657854799361909*1266739757468895708737906435299354373920102090214975078607526387855305290241229

cado polynomial
n: 39016225725291850959635546567555326019793518574237782976923122071740386403846544315489556205770737553563704892852693405927127796989910217047593883946161
skew: 0.57
type: snfs
c0: -17
c5: 290
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 290*x^5-17
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13700000
tasks.lim1 = 13700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1266739757468895708737906435299354373920102090214975078607526387855305290241229 30800506177568109426614043235430427352003412896455052106959657854799361909
Info:Square Root: Total cpu/real time for sqrt: 867.84/274.707
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: 5.89/2.37514
Info:Generate Free Relations: Total cpu/real time for freerel: 99.06/25.5311
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31928586
Info:Lattice Sieving: Average J: 1893.54 for 5319363 special-q, max bucket fill -bkmult 1.0,1s:1.139720
Info:Lattice Sieving: Total time: 1.33301e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 62.07/168.688
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 167.90000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 541.72/546.997
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 479.9000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 464.88/544.12
Info:Filtering - Merging: Merged matrix has 3082177 rows and total weight 526520172 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 432.58/125.326
Info:Filtering - Merging: Total cpu/real time for replay: 120.02/104.619
Info:Linear Algebra: Total cpu/real time for bwc: 148404/37899.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22368.65, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (96768 iterations)
Info:Linear Algebra: Lingen CPU time 645.53, WCT time 186.13
Info:Linear Algebra: Mksol: WCT time 15314.09, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48640 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 106.08/44.625
Info:Square Root: Total cpu/real time for sqrt: 867.84/274.707
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.63764e+06/38224
1266739757468895708737906435299354373920102090214975078607526387855305290241229 30800506177568109426614043235430427352003412896455052106959657854799361909

cado-nfs-3.0.0

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

96960200510579850227881211813712339246594609172821773039688777942514544652919576238206714590999938865152114243331110947490902252671973959361525713365938096549609905463862001923967434681<185>

6786993352464802746526334700072469<34>
14286178794527216900509302281046179711595390810572283884320184968468501616579693265651935515700985474093112756112534156592124668518821144056315806947349<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=316548260
Step 1 took 9067ms
Step 2 took 4355ms
********** Factor found in step 2: 6786993352464802746526334700072469
Found probable prime factor of 34 digits: 6786993352464802746526334700072469
Probable prime cofactor has 152 digits

125081859927343749984110700503980918702622053523732933781637438642557528271668784750232924739751127415244878025698846504263257967240698903938751451205630837712088226363108751990338421<183>

660009125866092938348817601598267420827044732907655501866807955479537<69>
189515349144916510633073266207169811295582540273071313667136876374293606595350992468531989406584213008190687880133<114>

N=125081859927343749984110700503980918702622053523732933781637438642557528271668784750232924739751127415244878025698846504263257967240698903938751451205630837712088226363108751990338421
  ( 183 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=660009125866092938348817601598267420827044732907655501866807955479537 (pp69)
 r2=189515349144916510633073266207169811295582540273071313667136876374293606595350992468531989406584213008190687880133 (pp114)
Version: Msieve v. 1.49
Total time:
Scaled time: 160.01 units (timescale=1.156).
Factorization parameters were as follows:
n: 125081859927343749984110700503980918702622053523732933781637438642557528271668784750232924739751127415244878025698846504263257967240698903938751451205630837712088226363108751990338421
m: 1000000000000000000000000000000000000000
deg: 5
c5: 29000
c0: -17
skew: 0.23
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7400000, 22760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3058871 x 3059093
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time:

6252662367465388225758109977992137729851911297661808283324431913821581314267801486076733146913438983060093065920331637762225609727831740769447887541253287525897611187591233620746661461001832181<193>

28962398127203141738740400629372832413685664172074631220093<59>
215888972315194089954756985644643070661993232864474283164194872784589063485014106155033891643188403031828408090255624185315372291904217<135>

Number: n
N=6252662367465388225758109977992137729851911297661808283324431913821581314267801486076733146913438983060093065920331637762225609727831740769447887541253287525897611187591233620746661461001832181
  ( 193 digits)
SNFS difficulty: 200 digits.
Divisors found:

Wed Oct 27 14:06:19 2010  prp59 factor: 28962398127203141738740400629372832413685664172074631220093
Wed Oct 27 14:06:19 2010  prp135 factor: 215888972315194089954756985644643070661993232864474283164194872784589063485014106155033891643188403031828408090255624185315372291904217
Wed Oct 27 14:06:19 2010  elapsed time 14:05:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_9_6_198_1
n: 6252662367465388225758109977992137729851911297661808283324431913821581314267801486076733146913438983060093065920331637762225609727831740769447887541253287525897611187591233620746661461001832181
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290000
c0: -17
skew: 0.14
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5383910 hash collisions in 39467025 relations
Msieve: matrix is 2983291 x 2983518 (860.1 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:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Total of 4 processors activated (22643.70 BogoMIPS).

87425763468089596334147297338036236471616773687859877603931144674565132193783726749268939736516836996171354496397455608814928702782551023484368876428205360103705043562147659099816104428567121883573<197>

64936435269452911633016575756866741788518148890329558008161<59>
1346328345640124894250097452643667986246776308872925620200373463452749693208457918271346842834921915466327614945645008361875489122950548693<139>

Number: n
N=87425763468089596334147297338036236471616773687859877603931144674565132193783726749268939736516836996171354496397455608814928702782551023484368876428205360103705043562147659099816104428567121883573
  ( 197 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Oct 19 03:47:43 2010  prp59 factor: 64936435269452911633016575756866741788518148890329558008161
Tue Oct 19 03:47:43 2010  prp139 factor: 1346328345640124894250097452643667986246776308872925620200373463452749693208457918271346842834921915466327614945645008361875489122950548693
Tue Oct 19 03:47:43 2010  elapsed time 15:39:58 (Msieve 1.44 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_9_6_199_1
n: 87425763468089596334147297338036236471616773687859877603931144674565132193783726749268939736516836996171354496397455608814928702782551023484368876428205360103705043562147659099816104428567121883573
m: 10000000000000000000000000000000000000000
deg: 5
c5: 29
c0: -17
skew: 0.90
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 22700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4603057 hash collisions in 41609824 relations
Msieve: matrix is 2793540 x 2793766 (797.8 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,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

591558129689006200330363357855241855625576055498954411402367118251300570975482593291248013751331368155680277364808801237967920254435781375359<141>

30966552887186501389705975275059144279093<41>
19103131428418826311813094839601608824436199670489084580479037200500205651105056576487746848675422563<101>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2802151085
Step 1 took 36155ms
Step 2 took 21927ms
********** Factor found in step 2: 30966552887186501389705975275059144279093
Found probable prime factor of 41 digits: 30966552887186501389705975275059144279093
Probable prime cofactor

264139980093751077472733790867873772840503595628100383856113389434329803539217132963712651937170208115789797615157126614177434842626925185774222351431827200705218337431<168>

6507903733550901418054183543<28>

40587567196484731583355289535103797567993952278689125702433085324596160641709960817198664538156902355418699310610043026695937347092686600417<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3892887151
Step 1 took 19607ms
********** Factor found in step 1: 6507903733550901418054183543
Found probable prime factor of 28 digits: 6507903733550901418054183543

40587567196484731583355289535103797567993952278689125702433085324596160641709960817198664538156902355418699310610043026695937347092686600417<140>

1181704407961106944927505423048873345142179052867105237612961717992103<70>
34346632646072499933006704509439813652655052522082259315380927864342839<71>

Number: 96661_203
N = 40587567196484731583355289535103797567993952278689125702433085324596160641709960817198664538156902355418699310610043026695937347092686600417 (140 digits)
Divisors found:
r1=1181704407961106944927505423048873345142179052867105237612961717992103 (pp70)
r2=34346632646072499933006704509439813652655052522082259315380927864342839 (pp71)
Version: Msieve v. 1.51 (SVN 845)
Total time: 305.91 hours.
Factorization parameters were as follows:
# Murphy_E = 2.315e-11, selected by Erik Branger
# expecting poly E from 2.17e-011 to > 2.50e-011
n: 40587567196484731583355289535103797567993952278689125702433085324596160641709960817198664538156902355418699310610043026695937347092686600417
Y0: -1196371157824261518947137032
Y1: 543733494416057
c0: 23026671423179020304025815824857673
c1: 35810730109657363431717232768
c2: -231668516976168291620089
c3: -215683281981524500
c4: 253017904644
c5: 16560
skew: 1053173.6
type: gnfs
# selected mechanically
rlim: 17800000
alim: 17800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23117626
Relations: 3089914 relations
Pruned matrix : 1959350 x 1959575
Polynomial selection time: 0.00 hours.
Total sieving time: 301.18 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.50 hours.
time per square root: 1.05 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17800000,17800000,28,28,55,55,2.6,2.6,100000
total time: 305.91 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

155690543112182183674011526515865172742281469082342399576543916436101726982824073433247723168394287229898022661847805038478372345045616975185004803<147>

24557235492880840025767606010249066031581407<44>
6339905123168973253007529157081568630428856814997070440829952147725519589687205921857891838366977192029<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 155690543112182183674011526515865172742281469082342399576543916436101726982824073433247723168394287229898022661847805038478372345045616975185004803 (147 digits)
Using B1=39220000, B2=192392390206, polynomial Dickson(12), sigma=1:2129332035
Step 1 took 79093ms
********** Factor found in step 1: 24557235492880840025767606010249066031581407
Found prime factor of 44 digits: 24557235492880840025767606010249066031581407
Prime cofactor 6339905123168973253007529157081568630428856814997070440829952147725519589687205921857891838366977192029 has 103 digits

16435019672258987802948903604746881612203032113972401270569520355940300835053006517081674096280957908272653403923402115976733266674306698645634626240121254818215817188605609<173>

346657286727488421560340455691882796784953064953941121<54>
47409993389750263450840348303538070511813191615274959631917662643861409045764713902426816296051970222740538873731481129<119>

Number: n
N=16435019672258987802948903604746881612203032113972401270569520355940300835053006517081674096280957908272653403923402115976733266674306698645634626240121254818215817188605609  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Feb 20 21:10:47 2024  prp54 factor: 346657286727488421560340455691882796784953064953941121
Tue Feb 20 21:10:47 2024  prp119 factor: 47409993389750263450840348303538070511813191615274959631917662643861409045764713902426816296051970222740538873731481129
Tue Feb 20 21:10:47 2024  elapsed time 02:34:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 29x10^205-17 = 96(204)1
#
n: 16435019672258987802948903604746881612203032113972401270569520355940300835053006517081674096280957908272653403923402115976733266674306698645634626240121254818215817188605609
m: 10000000000000000000000000000000000
deg: 6
c6: 290
c0: -17
skew: 0.62
# Murphy_E = 8.945e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3592815 hash collisions in 20615565 relations (17729686 unique)
Msieve: matrix is 2207967 x 2208192 (625.7 MB)

Sieving start time: 2024/02/19 22:10:59
Sieving end time  : 2024/02/20 18:35:01

Total sieving time: 20hrs 24min 2secs.

Total relation processing time: 2hrs 25min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 22sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<208>

459797784347821026116103718489090889773<39>

21023734771532021271419589209426062175015850556091514077643741632209481153462183142146992937649845767427320589299959848673486902319057521801238252849663725528894691815257<170>

GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]
Input number is 9666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 (208 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4868486766
Step 1 took 3520ms
Step 2 took 1636ms
********** Factor found in step 2: 459797784347821026116103718489090889773
Found probable prime factor of 39 digits: 459797784347821026116103718489090889773
Composite cofactor 21023734771532021271419589209426062175015850556091514077643741632209481153462183142146992937649845767427320589299959848673486902319057521801238252849663725528894691815257 has 170 digits

Core i7 4930k

21023734771532021271419589209426062175015850556091514077643741632209481153462183142146992937649845767427320589299959848673486902319057521801238252849663725528894691815257<170>

8614243285794980456051733727782787401505196696753<49>
2440578246286645161096897383705720503648554552710346523118432298824916473790866670344077301352255446491841970560028688169<121>

#
# N = 29x10^207-17 = 96(206)1
#
n: 21023734771532021271419589209426062175015850556091514077643741632209481153462183142146992937649845767427320589299959848673486902319057521801238252849663725528894691815257
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2900
c0: -17
skew: 0.36
# Murphy_E = 5.618e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
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 21023734771532021271419589209426062175015850556091514077643741632209481153462183142146992937649845767427320589299959848673486902319057521801238252849663725528894691815257 (170 digits)
Using B1=51190000, B2=288593074786, polynomial Dickson(12), sigma=1:1216373306
Step 1 took 121562ms
Step 2 took 41826ms
********** Factor found in step 2: 8614243285794980456051733727782787401505196696753
Found prime factor of 49 digits: 8614243285794980456051733727782787401505196696753
Prime cofactor 2440578246286645161096897383705720503648554552710346523118432298824916473790866670344077301352255446491841970560028688169 has 121 digits

97035602918490575045821709057845940037751942231418417922314980707680899692641969612714047979783208991861562750414698630302680208308952092457789747790839531715857107214149475175898168993951669484615709<200>

224924680650264809423778895798529<33>

431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1723474712
Step 1 took 26621ms
Step 2 took 10003ms
********** Factor found in step 2: 224924680650264809423778895798529
Found probable prime factor of 33 digits: 224924680650264809423778895798529

431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421<168>

43852890594934335372758981719111947529663027036557035764012020635389312691633617<80>
9837749743717038491552738177449143533161537111157634309396514611845665148052096146915213<88>

11/03/24 11:36:58 v1.34.5 @ TRIGKEY,
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, ****************************
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, Starting factorization of 289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999983
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, using pretesting plan: normal
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, ****************************
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C209
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C209
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C209
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C209
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, prp9 = 996197929
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
11/03/24 11:36:58 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.54
11/03/24 11:36:59 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C200 input, B1=2K, B2=gmp-ecm default
11/03/24 11:36:59 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
11/03/24 11:36:59 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.54
11/03/24 11:37:01 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C200 input, B1=11K, B2=gmp-ecm default
11/03/24 11:37:01 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
11/03/24 11:37:01 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.54
11/03/24 11:37:30 v1.34.5 @ TRIGKEY, Finished 214 curves using Lenstra ECM method on C200 input, B1=50K, B2=gmp-ecm default
11/03/24 11:37:30 v1.34.5 @ TRIGKEY, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C200
11/03/24 11:37:31 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.33
11/03/24 11:37:31 v1.34.5 @ TRIGKEY, scheduled 430 curves at B1=250000 toward target pretesting depth of 61.54
11/03/24 11:41:51 v1.34.5 @ TRIGKEY, Finished 430 curves using Lenstra ECM method on C200 input, B1=250K, B2=gmp-ecm default
11/03/24 11:41:51 v1.34.5 @ TRIGKEY, pm1: starting B1 = 15M, B2 = gmp-ecm default on C200
11/03/24 11:41:56 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 30.45
11/03/24 11:41:56 v1.34.5 @ TRIGKEY, scheduled 904 curves at B1=1000000 toward target pretesting depth of 61.54
11/03/24 11:48:28 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999983
11/03/24 11:48:28 v1.34.5 @ TRIGKEY, nfs: input divides 29*10^208 - 17
11/03/24 11:48:28 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421
11/03/24 11:48:28 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c168: 431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421
11/03/24 11:48:28 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421
# 29*10^208-17, difficulty: 212.46, anorm: -5.65e+027, rnorm: 2.10e+047
# scaled difficulty: 215.72, suggest sieving rational side
# size = 5.996e-015, alpha = 0.906, combined = 3.647e-012, rroots = 1
type: snfs
size: 212
skew: 0.2257
c5: 29000
c0: -17
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421
# 29*10^208-17, difficulty: 210.06, anorm: -2.05e+027, rnorm: 2.98e+047
# scaled difficulty: 213.42, suggest sieving rational side
# size = 5.552e-015, alpha = 1.137, combined = 3.463e-012, rroots = 1
type: snfs
size: 210
skew: 0.4515
c5: 3625
c0: -68
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421
# 29*10^208-17, difficulty: 210.86, anorm: -8.24e+032, rnorm: 5.04e+040
# scaled difficulty: 212.16, suggest sieving rational side
# size = 9.016e-011, alpha = 0.133, combined = 3.113e-012, rroots = 2
type: snfs
size: 210
skew: 0.9855
c6: 464
c0: -425
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
11/03/24 11:48:30 v1.34.5 @ TRIGKEY, test: fb generation took 1.7595 seconds
11/03/24 11:48:30 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2257
c5: 29000
c0: -17
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/03/24 11:51:24 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/03/24 11:51:26 v1.34.5 @ TRIGKEY, test: fb generation took 1.6232 seconds
11/03/24 11:51:26 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4515
c5: 3625
c0: -68
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/03/24 11:54:20 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/03/24 11:54:22 v1.34.5 @ TRIGKEY, test: fb generation took 2.4468 seconds
11/03/24 11:54:22 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.9855
c6: 464
c0: -425
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/03/24 11:57:09 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/03/24 11:57:09 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 431413763211566585437654456511226974946541109392975373675100050894470926361435004723962840997507001876402434063205913055934877592549342899731595924679872926188159515421
# 29*10^208-17, difficulty: 210.06, anorm: -2.05e+027, rnorm: 2.98e+047
# scaled difficulty: 213.42, suggest sieving rational side
# size = 5.552e-015, alpha = 1.137, combined = 3.463e-012, rroots = 1
type: snfs
size: 210
skew: 0.4515
c5: 3625
c0: -68
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/06/24 04:10:25 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/06/24 04:14:13 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 47181210
11/06/24 08:04:49 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/06/24 08:11:32 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
11/06/24 15:08:44 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
11/06/24 15:14:59 v1.34.5 @ TRIGKEY, prp80 = 43852890594934335372758981719111947529663027036557035764012020635389312691633617
11/06/24 15:14:59 v1.34.5 @ TRIGKEY, prp88 = 9837749743717038491552738177449143533161537111157634309396514611845665148052096146915213
11/06/24 15:15:00 v1.34.5 @ TRIGKEY, NFS elapsed time = 271592.0250 seconds.
11/06/24 15:15:00 v1.34.5 @ TRIGKEY,
11/06/24 15:15:00 v1.34.5 @ TRIGKEY,
11/03/24 11:57:09 v1.34.5 @ TRIGKEY, test: test sieving took 520.75 seconds

YAFU

3161979743146307975094782713404639491325262959822667444686338583917734119140226690766903159269988928821864722452072588986375141094304169044137447640995099<154>

812320882579537796000534792567<30>
333486207802312449357487721076961531<36>
11672223321253343247156498092993184286430762917776679204969654698638601759963066769709287<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1248573801
Step 1 took 16717ms
********** Factor found in step 1: 812320882579537796000534792567
Found probable prime factor of 30 digits: 812320882579537796000534792567

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1546414204
Step 1 took 13718ms
Step 2 took 6139ms
********** Factor found in step 2: 333486207802312449357487721076961531
Found probable prime factor of 36 digits: 333486207802312449357487721076961531

7141165813288464185394883082240057238112640187200275717917084071070159920792099872057166928018788609000525861850700188927894679508341436637478318058552486983398616546643<169>

818120458416303987086372651878229<33>
8728746164241076043298799090130027513077974331898495226886006416524622147878671644971454777005131686242517031519733097899770281841205767<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1778225804
Step 1 took 19538ms
Step 2 took 8252ms
********** Factor found in step 2: 818120458416303987086372651878229
Found probable prime factor of 33 digits: 818120458416303987086372651878229

510394205434384477738782875210017930188768940218414934110719529996830943479606905898826160564033455281728311383691871660069472701351728942452431530607616753243909<162>

488144711349522675880530330107954134261391042153381229735896983450604859412439650217591593310104517140677280034787502906835057003003311296034784708968498207376388368056506762686243627768385326753227662517<204>

10246659194417703901003048951662198418020607290916593266846863408167934489759392871032702787165065142021501070767010952115054393716377594500540627736449045875620778221254464792612120612137491<191>

9666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661<217>

3692373481290339920681491430174254767425975188155528480916688939644325347<73>
2618008908266924628553578812864035153160511584331093274257123760807466598993648907432801056112598767983648723517967373279209331932223745297173463<145>

RelProcTime: 1759
BLanczosTime: 26945
sqrtTime: 1750
prp73 factor: 3692373481290339920681491430174254767425975188155528480916688939644325347
prp145 factor: 2618008908266924628553578812864035153160511584331093274257123760807466598993648907432801056112598767983648723517967373279209331932223745297173463

2770094792638905142932954216449645444008505937766746783453197246262078670153849794782867797514478223350626332755831608946346132387821647322572267773822780081144168169916786933382290609175943327040209708893<205>

151599169809031763194048412331365166013875341224701346510159026012288304551291515529883152409043272908425899836241482409700780215544915054876975247624693487412634772423661765452737177802199373120173<198>

394580760763834083587761110615661443313<39>

384203146437155995451194775350970525625302208923642699652713951788235129753427474550565164551766784695587009320172433033240395092395070707631820609591509796221<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1294439658
Step 1 took 17508ms
Step 2 took 6827ms
********** Factor found in step 2: 394580760763834083587761110615661443313
Found probable prime factor of 39 digits: 394580760763834083587761110615661443313
Composite cofactor