772925389473016977073741485454835294284589093086580536414508136485405496164294305152047<87>

2844660335598597803815246803287005097<37>
271710959582937831976646734426378079536887182179351<51>

Thu Jan 14 14:34:04 2010  Msieve v. 1.42
Thu Jan 14 14:34:04 2010  random seeds: 53acd908 c8d12e25
Thu Jan 14 14:34:04 2010  factoring 772925389473016977073741485454835294284589093086580536414508136485405496164294305152047 (87 digits)
Thu Jan 14 14:34:05 2010  searching for 15-digit factors
Thu Jan 14 14:34:05 2010  commencing quadratic sieve (87-digit input)
Thu Jan 14 14:34:05 2010  using multiplier of 23
Thu Jan 14 14:34:05 2010  using 32kb Intel Core sieve core
Thu Jan 14 14:34:05 2010  sieve interval: 22 blocks of size 32768
Thu Jan 14 14:34:05 2010  processing polynomials in batches of 10
Thu Jan 14 14:34:05 2010  using a sieve bound of 1491727 (57000 primes)
Thu Jan 14 14:34:05 2010  using large prime bound of 119338160 (26 bits)
Thu Jan 14 14:34:05 2010  using double large prime bound of 345304846621840 (42-49 bits)
Thu Jan 14 14:34:05 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 14:34:05 2010  polynomial 'A' values have 11 factors
Thu Jan 14 15:12:17 2010  57510 relations (16656 full + 40854 combined from 590156 partial), need 57096
Thu Jan 14 15:12:18 2010  begin with 606812 relations
Thu Jan 14 15:12:18 2010  reduce to 135244 relations in 13 passes
Thu Jan 14 15:12:18 2010  attempting to read 135244 relations
Thu Jan 14 15:12:20 2010  recovered 135244 relations
Thu Jan 14 15:12:20 2010  recovered 109529 polynomials
Thu Jan 14 15:12:21 2010  attempting to build 57510 cycles
Thu Jan 14 15:12:21 2010  found 57510 cycles in 6 passes
Thu Jan 14 15:12:21 2010  distribution of cycle lengths:
Thu Jan 14 15:12:21 2010     length 1 : 16656
Thu Jan 14 15:12:21 2010     length 2 : 11478
Thu Jan 14 15:12:21 2010     length 3 : 10237
Thu Jan 14 15:12:21 2010     length 4 : 7460
Thu Jan 14 15:12:21 2010     length 5 : 5052
Thu Jan 14 15:12:21 2010     length 6 : 3040
Thu Jan 14 15:12:21 2010     length 7 : 1758
Thu Jan 14 15:12:21 2010     length 9+: 1829
Thu Jan 14 15:12:21 2010  largest cycle: 18 relations
Thu Jan 14 15:12:21 2010  matrix is 57000 x 57510 (13.4 MB) with weight 3283744 (57.10/col)
Thu Jan 14 15:12:21 2010  sparse part has weight 3283744 (57.10/col)
Thu Jan 14 15:12:22 2010  filtering completed in 3 passes
Thu Jan 14 15:12:22 2010  matrix is 51920 x 51983 (12.2 MB) with weight 2982897 (57.38/col)
Thu Jan 14 15:12:22 2010  sparse part has weight 2982897 (57.38/col)
Thu Jan 14 15:12:22 2010  saving the first 48 matrix rows for later
Thu Jan 14 15:12:22 2010  matrix is 51872 x 51983 (8.5 MB) with weight 2403796 (46.24/col)
Thu Jan 14 15:12:22 2010  sparse part has weight 1918038 (36.90/col)
Thu Jan 14 15:12:22 2010  matrix includes 64 packed rows
Thu Jan 14 15:12:22 2010  using block size 20793 for processor cache size 1024 kB
Thu Jan 14 15:12:22 2010  commencing Lanczos iteration
Thu Jan 14 15:12:22 2010  memory use: 8.3 MB
Thu Jan 14 15:12:40 2010  lanczos halted after 821 iterations (dim = 51862)
Thu Jan 14 15:12:40 2010  recovered 12 nontrivial dependencies
Thu Jan 14 15:12:41 2010  prp37 factor: 2844660335598597803815246803287005097
Thu Jan 14 15:12:41 2010  prp51 factor: 271710959582937831976646734426378079536887182179351
Thu Jan 14 15:12:41 2010  elapsed time 00:38:37

56173246929815255283763584609830380152253499936942230807865191578896167372045154382977645466503461<98>

22316451346960279706819225593281908929<38>
2517122729616534858504981308134947115135771693610871380503909<61>

SNFS difficulty: 112 digits.
Divisors found:
 r1=22316451346960279706819225593281908929 (pp38)
 r2=2517122729616534858504981308134947115135771693610871380503909 (pp61)
Version: Msieve v. 1.44 SVN157
Total time: 0.51 hours.
Scaled time: 1.23 units (timescale=2.400).
Factorization parameters were as follows:
n: 56173246929815255283763584609830380152253499936942230807865191578896167372045154382977645466503461
m: 10000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
name: 84447_111
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 515001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53265 x 53490
Total sieving time: 0.49 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.51 hours.

932733442810297256743646981072953108816554515220301407903657132853907698179115650977155301958793271752499<105>

29060858077805849001902975266592637887<38>
32095867242221515156580569876052714325453456702320541088111219169677<68>

Number: 84447_114
N=932733442810297256743646981072953108816554515220301407903657132853907698179115650977155301958793271752499
  ( 105 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=29060858077805849001902975266592637887 (pp38)
 r2=32095867242221515156580569876052714325453456702320541088111219169677 (pp68)
Version: Msieve v. 1.43
Total time: 0.86 hours.
Scaled time: 0.90 units (timescale=1.056).
Factorization parameters were as follows:
n: 932733442810297256743646981072953108816554515220301407903657132853907698179115650977155301958793271752499
m: 20000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71728 x 71953
Total sieving time: 0.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.86 hours.
 --------- CPU info (if available) ----------

GGNFS + msieve v1.43 w/factMsieve.pl

Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

8245269971506050277666572411296948972700604377963440210399587817218278102755872021167986126300444386744913107<109>

72620883565828625024765708056974898721804064209<47>
113538552089248039874489189162235938252893500232180751671610723<63>

Number: 84447_116
N=8245269971506050277666572411296948972700604377963440210399587817218278102755872021167986126300444386744913107
  ( 109 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=72620883565828625024765708056974898721804064209 (pp47)
 r2=113538552089248039874489189162235938252893500232180751671610723 (pp63)
Version: Msieve v. 1.43
Total time: 0.78 hours.
Scaled time: 0.85 units (timescale=1.102).
Factorization parameters were as follows:
n: 8245269971506050277666572411296948972700604377963440210399587817218278102755872021167986126300444386744913107
m: 100000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80524 x 80757
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.78 hours.
 --------- CPU info (if available) ----------

GGNFS + msieve v1.43 w/factMsieve.pl

Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

115567457665545596940459826765019621613196622444338009857183362885072726745568249926086627544558010304155711651<111>

4627498957611482129242081250798903<34>
24974064548508638977637826325423793743556698973336535406314299846721300080117<77>

Number: 84447_117
N=115567457665545596940459826765019621613196622444338009857183362885072726745568249926086627544558010304155711651
  ( 111 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=4627498957611482129242081250798903 (pp34)
 r2=24974064548508638977637826325423793743556698973336535406314299846721300080117 (pp77)
Version: Msieve-1.40
Total time: 0.93 hours.
Scaled time: 3.12 units (timescale=3.344).
Factorization parameters were as follows:
name: 84447_117
n: 115567457665545596940459826765019621613196622444338009857183362885072726745568249926086627544558010304155711651
m: 100000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74719 x 74967
Total sieving time: 0.91 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,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.93 hours.
 --------- CPU info (if available) ----------

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

1634904347339730972187265385848181921830060297853757806130461064537849111235880127092301106356981364241630257777089397<118>

33761285081093389090731214102614080233443133<44>
48425418150190364384901841281753800093994232098613459330816701723669856409<74>

Number: 84447_121
N=1634904347339730972187265385848181921830060297853757806130461064537849111235880127092301106356981364241630257777089397
  ( 118 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=33761285081093389090731214102614080233443133 (pp44)
 r2=48425418150190364384901841281753800093994232098613459330816701723669856409 (pp74)
Version: Msieve-1.40
Total time: 1.41 hours.
Scaled time: 4.73 units (timescale=3.356).
Factorization parameters were as follows:
name: 84447_121
n: 1634904347339730972187265385848181921830060297853757806130461064537849111235880127092301106356981364241630257777089397
m: 1000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 88348 x 88596
Total sieving time: 1.38 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,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.41 hours.
 --------- CPU info (if available) ----------

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

21888022160136152881092906781330383354933688519026208328839977300115466548322839536377716486559750181443705435431<113>

372476489841882736225009191178393031<36>
58763499863918060142313076446861293120353977482610155737326917144762021930401<77>

Number: 84447_123
N=21888022160136152881092906781330383354933688519026208328839977300115466548322839536377716486559750181443705435431
  ( 113 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=372476489841882736225009191178393031 (pp36)
 r2=58763499863918060142313076446861293120353977482610155737326917144762021930401 (pp77)
Version: Msieve-1.40
Total time: 1.43 hours.
Scaled time: 4.78 units (timescale=3.333).
Factorization parameters were as follows:
name: 84447_123
n: 21888022160136152881092906781330383354933688519026208328839977300115466548322839536377716486559750181443705435431
m: 2000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 94791 x 95027
Total sieving time: 1.40 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,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 1.43 hours.
 --------- CPU info (if available) ----------

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

5077753284309834832594273103500080100355148438545257698365837994828361021968939948628805669<91>

3019044313754110196310168774529000059439<40>
1681907503370087577463229672949384326398986488494571<52>

Number: 84447_124
N=5077753284309834832594273103500080100355148438545257698365837994828361021968939948628805669
  ( 91 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=3019044313754110196310168774529000059439 (pp40)
 r2=1681907503370087577463229672949384326398986488494571 (pp52)
Version: Msieve-1.40
Total time: 2.36 hours.
Scaled time: 4.83 units (timescale=2.051).
Factorization parameters were as follows:
name: 84447_124
n: 5077753284309834832594273103500080100355148438545257698365837994828361021968939948628805669
m: 2000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135983 x 136231
Total sieving time: 2.14 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------

767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677<126>

5994407217880419424562967000599119<34>
20115108656417902893343990292614777<35>
6366632359532211884184948525243882588810617140882874816779<58>

Number: nq3
N=767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677
  ( 126 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5994407217880419424562967000599119 (pp34)
 r2=20115108656417902893343990292614777 (pp35)
 r3=6366632359532211884184948525243882588810617140882874816779 (pp58)
Version: Msieve-1.40
Total time: 0.95 hours.
Scaled time: 1.78 units (timescale=1.866).
Factorization parameters were as follows:
n: 767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677
m: 10000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 475000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126811 x 127038
Total sieving time: 0.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 0.95 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

32780883665947807424457375795000873029274725916368938707303440595646540159113222686663770012109799462173<104>

764554192844238153445658278390577769037<39>
42875814393220159145561798565757221209136152807215991226764877329<65>

Number: qq2
N=32780883665947807424457375795000873029274725916368938707303440595646540159113222686663770012109799462173
  ( 104 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=764554192844238153445658278390577769037 (pp39)
 r2=42875814393220159145561798565757221209136152807215991226764877329 (pp65)
Version: Msieve-1.40
Total time: 2.27 hours.
Scaled time: 4.21 units (timescale=1.855).
Factorization parameters were as follows:
n: 32780883665947807424457375795000873029274725916368938707303440595646540159113222686663770012109799462173
m: 20000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167728 x 167953
Total sieving time: 2.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 2.27 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

404998696397086610273095864030264788422966575269270640773660561978914441607916869788773167429565166454389575011939220517<120>

2636922486416778219479282826737128219920514887391<49>
153587638045221867759741093584543668200465409799681394923325418158942587<72>

Number: 84447_131
N=404998696397086610273095864030264788422966575269270640773660561978914441607916869788773167429565166454389575011939220517
  ( 120 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=2636922486416778219479282826737128219920514887391 (pp49)
 r2=153587638045221867759741093584543668200465409799681394923325418158942587 (pp72)
Version: Msieve v. 1.42
Total time: 0.14 hours.
Scaled time: 0.11 units (timescale=0.795).
Factorization parameters were as follows:
name: 84447_131
n: 404998696397086610273095864030264788422966575269270640773660561978914441607916869788773167429565166454389575011939220517
m: 100000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165155 x 165381
Total sieving time: 0.00 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,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 36 min.

69215421029856228777257861622850799765271782090190585785469999099589554670792089592217638797440231531128768622137<113>

380112178679746309265792899072797960147136364952237853<54>
182092089946352107376391987457742168819288467508386319514829<60>

Number: 84447_132
N=69215421029856228777257861622850799765271782090190585785469999099589554670792089592217638797440231531128768622137
  ( 113 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=380112178679746309265792899072797960147136364952237853 (pp54)
 r2=182092089946352107376391987457742168819288467508386319514829 (pp60)
Version: Msieve v. 1.42
Total time: 0.14 hours.
Scaled time: 0.11 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_132
n: 69215421029856228777257861622850799765271782090190585785469999099589554670792089592217638797440231531128768622137
m: 100000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1045001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173568 x 173794
Total sieving time: 0.00 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,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 37 min.

1399301543149656670886725140927231371472861103928431482376265434358912403610156523988896239<91>

1913405169614932300932770566402500359128411<43>
731314812654793016520117508492017560941269233149<48>

Number: 84447_133
N=1399301543149656670886725140927231371472861103928431482376265434358912403610156523988896239
  ( 91 digits)
Divisors found:
 r1=1913405169614932300932770566402500359128411 (pp43)
 r2=731314812654793016520117508492017560941269233149 (pp48)
Version: Msieve-1.40
Total time: 2.59 hours.
Scaled time: 5.33 units (timescale=2.058).
Factorization parameters were as follows:
name: 84447_133
n:  1399301543149656670886725140927231371472861103928431482376265434358912403610156523988896239
m:  477362665506175263080
deg: 4
c4: 26947440
c3: 167833881791
c2: 26723086829564567
c1: -679371207578561065
c0: -25128527168791779704361
skew: 1635.250
type: gnfs
# adj. I(F,S) = 50.996
# E(F1,F2) = 2.151955e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1263537524.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 670001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105202 x 105435
Polynomial selection time: 0.17 hours.
Total sieving time: 2.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.59 hours.
 --------- CPU info (if available) ----------

11739041720399813225667785428234835822550791821533202257664860553313553048034459648048083114886757634972335249114049887529168043301<131>

77428264666634018889165287259936841<35>
151611840597771927532710506493773049586203378135721037891185124543029684709228081827490136856061<96>

Number: 84447_135
N=11739041720399813225667785428234835822550791821533202257664860553313553048034459648048083114886757634972335249114049887529168043301
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=77428264666634018889165287259936841 (pp35)
 r2=151611840597771927532710506493773049586203378135721037891185124543029684709228081827490136856061 (pp96)
Version: Msieve v. 1.42
Total time: 0.16 hours.
Scaled time: 0.13 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_135
n: 11739041720399813225667785428234835822550791821533202257664860553313553048034459648048083114886757634972335249114049887529168043301
m: 1000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1045001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198920 x 199168
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 20 min.

14501879519911462209246856335985650771843456026866639952678077356078386475089205640467876428721354017593069628103115995954738870761539489<137>

5402191520825011436867079302240475557219<40>
2684443797301130370669741118283892061366498603156149902982600677010000130183487429107663045900331<97>

Number: 84447_139
N=14501879519911462209246856335985650771843456026866639952678077356078386475089205640467876428721354017593069628103115995954738870761539489
  ( 137 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=5402191520825011436867079302240475557219 (pp40)
 r2=2684443797301130370669741118283892061366498603156149902982600677010000130183487429107663045900331 (pp97)
Version: Msieve v. 1.42
Total time: 0.24 hours.
Scaled time: 0.19 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_139
n: 14501879519911462209246856335985650771843456026866639952678077356078386475089205640467876428721354017593069628103115995954738870761539489
m: 2000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241025 x 241253
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 0.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 5 hours 43 min.

3870855382911255845963294818656917099890379322992139509057273523067443093386671515697120676162151377599356423730941653<118>

18750552753403772656635768017188912490973460973010560209717<59>
206439534546979293878345623555405909311097585697403570872609<60>

Number: 84447_142
N=3870855382911255845963294818656917099890379322992139509057273523067443093386671515697120676162151377599356423730941653
  ( 118 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=18750552753403772656635768017188912490973460973010560209717 (pp59)
 r2=206439534546979293878345623555405909311097585697403570872609 (pp60)
Version: Msieve v. 1.42
Total time: 0.39 hours.
Scaled time: 0.31 units (timescale=0.796).
Factorization parameters were as follows:
name: 84447_142
n: 3870855382911255845963294818656917099890379322992139509057273523067443093386671515697120676162151377599356423730941653
m: 10000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255745 x 255970
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 0.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 6 hours 18 min.

1792835489707055068858019658297022881603186912311210653691706201876331160676477430144057<88>

42910072123126938375353534217404513413<38>
41781227599959758466757040898905799816169366993189<50>

Thu Jan 14 20:59:04 2010  Msieve v. 1.42
Thu Jan 14 20:59:04 2010  random seeds: d8aad570 d636f14a
Thu Jan 14 20:59:04 2010  factoring 1792835489707055068858019658297022881603186912311210653691706201876331160676477430144057 (88 digits)
Thu Jan 14 20:59:05 2010  searching for 15-digit factors
Thu Jan 14 20:59:05 2010  commencing quadratic sieve (88-digit input)
Thu Jan 14 20:59:05 2010  using multiplier of 1
Thu Jan 14 20:59:05 2010  using 32kb Intel Core sieve core
Thu Jan 14 20:59:05 2010  sieve interval: 24 blocks of size 32768
Thu Jan 14 20:59:05 2010  processing polynomials in batches of 9
Thu Jan 14 20:59:05 2010  using a sieve bound of 1508383 (57315 primes)
Thu Jan 14 20:59:05 2010  using large prime bound of 120670640 (26 bits)
Thu Jan 14 20:59:05 2010  using double large prime bound of 352275850752880 (42-49 bits)
Thu Jan 14 20:59:05 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 20:59:05 2010  polynomial 'A' values have 11 factors
Thu Jan 14 21:39:54 2010  57705 relations (16371 full + 41334 combined from 600729 partial), need 57411
Thu Jan 14 21:39:55 2010  begin with 617100 relations
Thu Jan 14 21:39:56 2010  reduce to 137358 relations in 9 passes
Thu Jan 14 21:39:56 2010  attempting to read 137358 relations
Thu Jan 14 21:39:57 2010  recovered 137358 relations
Thu Jan 14 21:39:58 2010  recovered 111288 polynomials
Thu Jan 14 21:39:58 2010  attempting to build 57705 cycles
Thu Jan 14 21:39:58 2010  found 57705 cycles in 5 passes
Thu Jan 14 21:39:58 2010  distribution of cycle lengths:
Thu Jan 14 21:39:58 2010     length 1 : 16371
Thu Jan 14 21:39:58 2010     length 2 : 11461
Thu Jan 14 21:39:58 2010     length 3 : 10329
Thu Jan 14 21:39:58 2010     length 4 : 7272
Thu Jan 14 21:39:58 2010     length 5 : 5183
Thu Jan 14 21:39:58 2010     length 6 : 3183
Thu Jan 14 21:39:58 2010     length 7 : 1791
Thu Jan 14 21:39:58 2010     length 9+: 2115
Thu Jan 14 21:39:58 2010  largest cycle: 19 relations
Thu Jan 14 21:39:58 2010  matrix is 57315 x 57705 (13.1 MB) with weight 3195769 (55.38/col)
Thu Jan 14 21:39:58 2010  sparse part has weight 3195769 (55.38/col)
Thu Jan 14 21:39:59 2010  filtering completed in 4 passes
Thu Jan 14 21:39:59 2010  matrix is 52496 x 52560 (12.0 MB) with weight 2927981 (55.71/col)
Thu Jan 14 21:39:59 2010  sparse part has weight 2927981 (55.71/col)
Thu Jan 14 21:39:59 2010  saving the first 48 matrix rows for later
Thu Jan 14 21:39:59 2010  matrix is 52448 x 52560 (7.5 MB) with weight 2271532 (43.22/col)
Thu Jan 14 21:39:59 2010  sparse part has weight 1658634 (31.56/col)
Thu Jan 14 21:39:59 2010  matrix includes 64 packed rows
Thu Jan 14 21:39:59 2010  using block size 21024 for processor cache size 1024 kB
Thu Jan 14 21:39:59 2010  commencing Lanczos iteration
Thu Jan 14 21:39:59 2010  memory use: 7.9 MB
Thu Jan 14 21:40:16 2010  lanczos halted after 831 iterations (dim = 52446)
Thu Jan 14 21:40:16 2010  recovered 16 nontrivial dependencies
Thu Jan 14 21:40:17 2010  prp38 factor: 42910072123126938375353534217404513413
Thu Jan 14 21:40:17 2010  prp50 factor: 41781227599959758466757040898905799816169366993189
Thu Jan 14 21:40:17 2010  elapsed time 00:41:13

705918526777065015107480091329944988262866443515532943154624651041092561534273069443469722570186688645487380878361927763<120>

120759800762353604989446890431<30>

5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373<91>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3666526774
Step 1 took 5192ms
Step 2 took 3112ms
********** Factor found in step 2: 120759800762353604989446890431
Found probable prime factor of 30 digits: 120759800762353604989446890431
Composite cofactor has 91 digits

5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373<91>

4203065797411848076795784411940638986969<40>
1390804231898300052214656634217940972893373032648117<52>

Number: 84447_147
N=5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373
  ( 91 digits)
Divisors found:
 r1=4203065797411848076795784411940638986969 (pp40)
 r2=1390804231898300052214656634217940972893373032648117 (pp52)
Version: Msieve-1.40
Total time: 2.89 hours.
Scaled time: 5.90 units (timescale=2.038).
Factorization parameters were as follows:
name: 84447_147
n:  5845641697987401380013490433361614223454259968029929759892320174369518255387635138325387373
m:  662488004872972126855
deg: 4
c4: 30347304
c3: -56510685041
c2: -58747931349717403
c1: 238413509707088094
c0: 77961818024807214272453
skew: 1635.250
type: gnfs
# adj. I(F,S) = 50.507
# E(F1,F2) = 1.725879e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1263548185.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 710001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100108 x 100343
Polynomial selection time: 0.17 hours.
Total sieving time: 2.64 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.89 hours.
 --------- CPU info (if available) ----------

11078294806839479584415109513578199508011876694197634771012585922108314682904167197294687324505824115763917641221222139054309915506374059<137>

21592204583321335546216470576726618930746753633<47>
513069184950053148429931436613956897698323818699150472549189463823411623210781495692528523<90>

Number: n
N=11078294806839479584415109513578199508011876694197634771012585922108314682904167197294687324505824115763917641221222139054309915506374059
  ( 137 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu Jun  3 10:48:45 2010  prp47 factor: 21592204583321335546216470576726618930746753633
Thu Jun  3 10:48:45 2010  prp90 factor: 513069184950053148429931436613956897698323818699150472549189463823411623210781495692528523
Thu Jun  3 10:48:45 2010  elapsed time 00:20:28 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.872).
Factorization parameters were as follows:
name: KA_8_4_150_7
n: 11078294806839479584415109513578199508011876694197634771012585922108314682904167197294687324505824115763917641221222139054309915506374059
m: 1000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1723527 hash collisions in 14787632 relations
Msieve: matrix is 300014 x 300239 (82.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

603062937845810925975436796921675473980884481255286807254773841755879470985366707326985644146534064563442554911037<114>

28818083062270546349079887713<29>
20926545896293777758018379911947723802406803102390010185075453369194097371051539878749<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4277928062
Step 1 took 58297ms
Step 2 took 45880ms
********** Factor found in step 2: 28818083062270546349079887713
Found probable prime factor of 29 digits: 28818083062270546349079887713
Probable prime cofactor 20926545896293777758018379911947723802406803102390010185075453369194097371051539878749 has 86 digits

GMP-ECM 6.2.3

158484141919289346874760269812009030316721433899930867631366179095095523153277753609653593688134166790681477207263146741294835188752276475427<141>

48586821996047159575244386173916398548168681014617227<53>
3261875039536091049370132637976081968445096641421715331658583245528503579912841830086601<88>

N=158484141919289346874760269812009030316721433899930867631366179095095523153277753609653593688134166790681477207263146741294835188752276475427
  ( 141 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=48586821996047159575244386173916398548168681014617227 (pp53)
 r2=3261875039536091049370132637976081968445096641421715331658583245528503579912841830086601 (pp88)
Version: Msieve-1.40
Total time: 20.60 hours.
Scaled time: 40.22 units (timescale=1.952).
Factorization parameters were as follows:
n: 158484141919289346874760269812009030316721433899930867631366179095095523153277753609653593688134166790681477207263146741294835188752276475427
m: 10000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 498245 x 498472
Total sieving time: 20.17 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.06 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: 20.60 hours.
 --------- CPU info (if available) ----------

646354967287645341646462069273641467992821787154097059121346296043479119267303049158949602082475622376981556147067717706116666500451167157174477297<147>

39977321823602788398836017478782445711345495703843173955617071819468877<71>
16168040724179639707877744488267444695350057341896588800036639677782326225461<77>

N=646354967287645341646462069273641467992821787154097059121346296043479119267303049158949602082475622376981556147067717706116666500451167157174477297
  ( 147 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=39977321823602788398836017478782445711345495703843173955617071819468877 (pp71)
 r2=16168040724179639707877744488267444695350057341896588800036639677782326225461 (pp77)
Version: Msieve-1.40
Total time: 21.23 hours.
Scaled time: 40.91 units (timescale=1.927).
Factorization parameters were as follows:
n: 646354967287645341646462069273641467992821787154097059121346296043479119267303049158949602082475622376981556147067717706116666500451167157174477297
m: 20000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 481526 x 481752
Total sieving time: 20.66 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.21 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: 21.23 hours.
 --------- CPU info (if available) ----------

15364013817466096890217771253923290277179162506427682591620505607763603891515778693537036057265048414112574229755678656497602528206227<134>

88471634982342132379049754152271541603233580635822800873065259<62>
173660335547461828939011384486118570794618053699013521733912959971402553<72>

Number: 847-3
N=15364013817466096890217771253923290277179162506427682591620505607763603891515778693537036057265048414112574229755678656497602528206227
  ( 134 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=88471634982342132379049754152271541603233580635822800873065259 (pp62)
 r2=173660335547461828939011384486118570794618053699013521733912959971402553 (pp72)
Version: Msieve-1.40
Total time: 26.87 hours.
Scaled time: 51.48 units (timescale=1.916).
Factorization parameters were as follows:
n: 15364013817466096890217771253923290277179162506427682591620505607763603891515778693537036057265048414112574229755678656497602528206227
m: 100000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 750120 x 750368
Total sieving time: 26.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 26.87 hours.
 --------- CPU info (if available) ----------

24366945548904208821903097370532023616235351559364024868933970247711566960837788815499005360135600192035264920407446453163442004306724874067803839473<149>

5196308698329019447358405672403768780869213<43>
548469770130452713388019674728373757489904241<45>
8549750745452687908272099845480408278610613394767287375838581<61>

Number: 847-4
N=24366945548904208821903097370532023616235351559364024868933970247711566960837788815499005360135600192035264920407446453163442004306724874067803839473
  ( 149 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5196308698329019447358405672403768780869213 (pp43)
 r2=548469770130452713388019674728373757489904241 (pp45)
 r3=8549750745452687908272099845480408278610613394767287375838581 (pp61)
Version: Msieve-1.40
Total time: 30.33 hours.
Scaled time: 58.10 units (timescale=1.916).
Factorization parameters were as follows:
n: 24366945548904208821903097370532023616235351559364024868933970247711566960837788815499005360135600192035264920407446453163442004306724874067803839473
m: 200000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor 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, 3650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 683256 x 683483
Total sieving time: 29.51 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.14 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: 30.33 hours.
 --------- CPU info (if available) ----------

478587140700554943395785379398182628333466096872477839637219542766682332601104375386905874871928831236698453001040021882397761265721<132>

76449712546223380120631776941217<32>
6260156183205912834857751595547196716119459207966747240283859978449219924366302378513798311642434713<100>

Number: 84447_164
N=478587140700554943395785379398182628333466096872477839637219542766682332601104375386905874871928831236698453001040021882397761265721
  ( 132 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=76449712546223380120631776941217 (pp32)
 r2=6260156183205912834857751595547196716119459207966747240283859978449219924366302378513798311642434713 (pp100)
Version: Msieve-1.40
Total time: 59.70 hours.
Scaled time: 121.13 units (timescale=2.029).
Factorization parameters were as follows:
name: 84447_164
n: 478587140700554943395785379398182628333466096872477839637219542766682332601104375386905874871928831236698453001040021882397761265721
m: 200000000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 733356 x 733604
Total sieving time: 58.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 59.70 hours.
 --------- CPU info (if available) ----------

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

24959758687506239807093684649916573656344955168240443766479506302006565363671610848034663228406963873491402898632369841776490886649196747693410130710638983<155>

8815530497865104008108394360795427229807584097873237<52>
2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059<103>

Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:split new files in 4 slices...
    Info:removing duplicates on slice 0...
    Info:removing duplicates on slice 1...
    Info:removing duplicates on slice 2...
    Info:removing duplicates on slice 3...
    Info:Number of relations left: 10935929.
Info:Removing singletons...
    Info:Nrows: 2272089; Ncols: 2271929; Excess: 160.
Info:Join all no duplicates files into one file...
    Info:clean directory nodup...
Info:Cleaning up...
    Info:Killing job:  84447_165 maralia          10900000 11000000
        Info:Truncating `84447_165.rels.10900000-11000000' to range 10900000-10932830...
        Info:Imported 49612 relations from `84447_165.rels.10900000-10932830.gz'.
Info:All done!
Info:--------------------------------------------------------------------------
Info:Merge
Info:--------------------------------------------------------------------------
Info:Merging relations...
    Info:Minimal bwcost: 35260869628752.
Info:Replaying merge history...
    Info:Nrows: 763926; Ncols: 763766; Weight: 73550624.
Info:--------------------------------------------------------------------------
Info:Linear algebra
Info:--------------------------------------------------------------------------
Warning:Parameter 'skip' currently unhandled by bwc code
Info:Calling Block-Wiedemann (new code)...
Info:Converting dependencies to CADO format...
    Info:Computed 64 vectors of the kernel.
Info:Adding characters...
    Info:61 vectors remaining after characters.
Info:--------------------------------------------------------------------------
Info:Square root
Info:--------------------------------------------------------------------------
Info:Testing dependency number 0...
Info:Testing dependency number 1...
Info:Testing dependency number 2...
    Info:Factorization was successful!
    Info:8815530497865104008108394360795427229807584097873237
    Info:2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059
Info:2 prime factors were found!
Info:--------------------------------------------------------------------------
Info:All done!
Info:--------------------------------------------------------------------------
2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059 8815530497865104008108394360795427229807584097873237

cado-nfs

ubuntu linux 10.04, Athlon64x2 2600+, 1G RAM

114679198954809604504093828226679894373269823674853120041936573425598190696773331388687854145544979630370848622707088092105667<126>

327454607771981754897073802475159003461567<42>
350214033435329741392539009976755353996048058312881405023815104052756440567317122301<84>

Number: 84447_166
N=114679198954809604504093828226679894373269823674853120041936573425598190696773331388687854145544979630370848622707088092105667
  ( 126 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=327454607771981754897073802475159003461567 (pp42)
 r2=350214033435329741392539009976755353996048058312881405023815104052756440567317122301 (pp84)
Version: Msieve-1.40
Total time: 61.48 hours.
Scaled time: 158.94 units (timescale=2.585).
Factorization parameters were as follows:
name: 84447_166
n: 114679198954809604504093828226679894373269823674853120041936573425598190696773331388687854145544979630370848622707088092105667
m: 1000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 761997 x 762245
Total sieving time: 59.76 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 61.48 hours.
 --------- CPU info (if available) ----------

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

162486904838261390118230603125734932546554636221751865392427255040301028371068778996429564064738203664507301220789771876937549440916768220982190580035490560793620251<165>

20156815459963064996439404923401661359377032316037875324121938435822889645760883<80>
8061139675610203177444366016974144500588488287226041531458180524915573997175284986297<85>

Number: 84447_167
N=162486904838261390118230603125734932546554636221751865392427255040301028371068778996429564064738203664507301220789771876937549440916768220982190580035490560793620251
  ( 165 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=20156815459963064996439404923401661359377032316037875324121938435822889645760883 (pp80)
 r2=8061139675610203177444366016974144500588488287226041531458180524915573997175284986297 (pp85)
Version: Msieve-1.40
Total time: 65.09 hours.
Scaled time: 183.82 units (timescale=2.824).
Factorization parameters were as follows:
name: 84447_167
n: 162486904838261390118230603125734932546554636221751865392427255040301028371068778996429564064738203664507301220789771876937549440916768220982190580035490560793620251
m: 1000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 863113 x 863361
Total sieving time: 63.05 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.79 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 65.09 hours.
 --------- CPU info (if available) ----------

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

36892816579867464957789864041025220732764059652902959875421462490151010987259493682091747708910386135023370288591251006366283289104707<134>

9473878061473260700942854888219407934557449844484172397349608279<64>
3894162067579994693379226797027685335499234170904407375083215909548533<70>

Number: 84447_168
N=36892816579867464957789864041025220732764059652902959875421462490151010987259493682091747708910386135023370288591251006366283289104707
  ( 134 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=9473878061473260700942854888219407934557449844484172397349608279 (pp64)
 r2=3894162067579994693379226797027685335499234170904407375083215909548533 (pp70)
Version: Msieve-1.40
Total time: 63.11 hours.
Scaled time: 196.40 units (timescale=3.112).
Factorization parameters were as follows:
name: 84447_168
n: 36892816579867464957789864041025220732764059652902959875421462490151010987259493682091747708910386135023370288591251006366283289104707
m: 2000000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
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, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 849247 x 849495
Total sieving time: 61.39 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.18 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: 63.11 hours.
 --------- CPU info (if available) ----------

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

65463397734673575811481263557275864739183056418854113181563336569464718717131021803532112079194173137422056565371533637720905589635283599928713805308926511392655403<164>

70625674486716913307479097885609758221134489407215918997137726524440682580617<77>
926906513961657886783032439490898191458821144454051878746943887632436562564291724247059<87>

Number: n
N=65463397734673575811481263557275864739183056418854113181563336569464718717131021803532112079194173137422056565371533637720905589635283599928713805308926511392655403
  ( 164 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun  4 06:59:40 2010  prp77 factor: 70625674486716913307479097885609758221134489407215918997137726524440682580617
Fri Jun  4 06:59:40 2010  prp87 factor: 926906513961657886783032439490898191458821144454051878746943887632436562564291724247059
Fri Jun  4 06:59:40 2010  elapsed time 02:19:19 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.880).
Factorization parameters were as follows:
name: KA_8_4_168_7
n: 65463397734673575811481263557275864739183056418854113181563336569464718717131021803532112079194173137422056565371533637720905589635283599928713805308926511392655403
m: 2000000000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1238833 hash collisions in 11034429 relations
Msieve: matrix is 1011375 x 1011606 (288.1 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,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

975510895012578326359567191332571779610654375681031169831217544605305983771437190874494484833926822580952377851768184787988135954529895509157<141>

88159386672188665520888490391051848073188240091<47>
11065309456381680440681578102299011067342334395698993347735988537936952526387600866431381593727<95>

Number: 84447_170
N=975510895012578326359567191332571779610654375681031169831217544605305983771437190874494484833926822580952377851768184787988135954529895509157
  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=88159386672188665520888490391051848073188240091
 r2=11065309456381680440681578102299011067342334395698993347735988537936952526387600866431381593727
Version: 
Total time: 51.91 hours.
Scaled time: 104.50 units (timescale=2.013).
Factorization parameters were as follows:
n: 975510895012578326359567191332571779610654375681031169831217544605305983771437190874494484833926822580952377851768184787988135954529895509157
m: 10000000000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 815365 x 815613
Total sieving time: 51.91 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 51.91 hours.
 --------- CPU info (if available) ----------

1649043705451545378525723248328818967699942263942160052406608959250112129547484831889866793504165148081846465482032724968563477019067957459966697562368406041080673019<166>

32846701024873340114405109150213225100707376890231988900901809763639333<71>
50204241339268689677797964197250077708944242833657358867833361935936009957465081138828465654943<95>

Number: n
N=1649043705451545378525723248328818967699942263942160052406608959250112129547484831889866793504165148081846465482032724968563477019067957459966697562368406041080673019
  ( 166 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat Jun  5 06:14:01 2010  prp71 factor: 32846701024873340114405109150213225100707376890231988900901809763639333
Sat Jun  5 06:14:01 2010  prp95 factor: 50204241339268689677797964197250077708944242833657358867833361935936009957465081138828465654943
Sat Jun  5 06:14:01 2010  elapsed time 01:55:32 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.883).
Factorization parameters were as follows:
name: KA_8_4_170_7
n: 1649043705451545378525723248328818967699942263942160052406608959250112129547484831889866793504165148081846465482032724968563477019067957459966697562368406041080673019
m: 10000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1357103 hash collisions in 11537829 relations
Msieve: matrix is 921281 x 921508 (261.1 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

2558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922559<172>

11280029396740463976228002297680016262444011672310021421<56>
226854245580423620897116886165777843695888523277901146627503797620565216749314639248219518220774218791915814512724379<117>

Number: 2
N=2558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922559
  ( 172 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=11280029396740463976228002297680016262444011672310021421 (pp56)
 r2=226854245580423620897116886165777843695888523277901146627503797620565216749314639248219518220774218791915814512724379 (pp117)
Version: Msieve-1.40
Total time: 75.06 hours.
Scaled time: 130.52 units (timescale=1.739).
Factorization parameters were as follows:
n: 2558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922558922559
m: 10000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 872065 x 872295
Total sieving time: 73.82 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 75.06 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

22706833860669672334411907941715142769217898960564802614871183533960161457539714551196441002566469774515164280955240647622803636678707264095416506075571928377865617371923<170>

1426043204567478031940694226709371<34>

15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=682286198
Step 1 took 15934ms
Step 2 took 6510ms
********** Factor found in step 2: 1426043204567478031940694226709371
Found probable prime factor of 34 digits: 1426043204567478031940694226709371
Composite cofactor 15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113 has 137 digits

GMP-ECM 6.2.3

15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113<137>

523000997776370476828577870668779934659283387<45>
30445378771931194582236738257147453509180105136852423191594674768313915381360618439830839499<92>

N = 15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113 (137 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=523000997776370476828577870668779934659283387 (pp45)
r2=30445378771931194582236738257147453509180105136852423191594674768313915381360618439830839499 (pp92)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.80 hours.
Factorization parameters were as follows:
name: (76*10^173+23)/9
n: 15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113
Y0: 20000000000000000000000000000000000
Y1: -1
c0: 23
c1: 0
c2: 0
c3: 0
c4: 0
c5: 2375
skew: 0.40
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19707002
Relations: 2429022 relations
Pruned matrix : 1346041 x 1346269
Polynomial selection time: 0.00 hours.
Total sieving time: 16.51 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.70 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 18.80 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

21710318516382958151093485448647658657514620653026078899793678497973105149461197139614789102604282307823132734978582247141345036842808644148282199329356447<155>

7884823372429113284964463299236248834849<40>
2753431179231927663889551621499985681499233673061932491698022764771285209146698706512110113742760299725644378183103<115>

Number: n
N=21710318516382958151093485448647658657514620653026078899793678497973105149461197139614789102604282307823132734978582247141345036842808644148282199329356447
  ( 155 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jan 10 10:04:06 2012  prp40 factor: 7884823372429113284964463299236248834849
Tue Jan 10 10:04:06 2012  prp115 factor: 2753431179231927663889551621499985681499233673061932491698022764771285209146698706512110113742760299725644378183103
Tue Jan 10 10:04:06 2012  elapsed time 02:27:27 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_84447_174
n: 21710318516382958151093485448647658657514620653026078899793678497973105149461197139614789102604282307823132734978582247141345036842808644148282199329356447
m: 20000000000000000000000000000000000
deg: 5
c5: 23750
c0: 23
skew: 0.25
type: snfs
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 6687269 hash collisions in 75000096 relations
Msieve: matrix is 1135109 x 1135350 (313.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,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).

8931836342634460348336534481483921556743330442758518821841852502386712551831377694351663182075620101140866036690900370724040186154976422576010000582417<151>

1444019601635893235056003268346313132069<40>

6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4215201661
Step 1 took 39860ms
********** Factor found in step 1: 1444019601635893235056003268346313132069
Found probable prime factor of 40 digits: 1444019601635893235056003268346313132069
Composite cofactor 6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093 has 112 digits

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

C2D 3GHz Mac OS X

6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093<112>

4777443433045807409784577746210343993689395663519700239<55>
1294708844697112254436097584968547945981383083772698308787<58>

n: 6185398267804543072620317374984073896865989956197623311876562359396159310335120272460552336563420923532499700093
skew: 10397.137
# lognorm: 35.39, alpha: -6.66 E=28.73
# Murphy's E(Bf=10000000,Bg=5000000,area=1.00e+16)=7.78e-10
c5: 277440
c4: -8836386852
c3: 112633090864701
c2: 2402693927600075535
c1: -510955910339237953573
c0: -57436618916778628118932675
Y1: 654916942093
Y0: -1860547201058944029868
m: 1415750286964964386741791602553085664464068493247041412019696727666368055456071185217569707755914899942776426195
type: gnfs
rlim: 2000000
alim: 4000000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.2
alambda: 2.2
...
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5238259.
Info:Removing singletons...
    Info:Not enough relations! Continuing sieving...
Info:Starting job: 6200000  6300000 
    Info:Imported   234609 relations from `c113.rels.6200000-6300000.gz'.
Info:Running total: 5873973 relations.
Info:Number of primes in alg factor base = 283846
Info:Number of primes in rat factor base = 148933
Info:Approx. number of large primes: 7500000
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5441217.
Info:Removing singletons...
    Info:Not enough relations! Continuing sieving...
Info:Starting job: 6300000  6400000 
    Info:Imported   226023 relations from `c113.rels.6300000-6400000.gz'.
Info:Running total: 6099996 relations.
Info:Number of primes in alg factor base = 283846
Info:Number of primes in rat factor base = 148933
Info:Approx. number of large primes: 7500000
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5635745.
Info:Removing singletons...
    Info:Nrows: 1304065; Ncols: 1303905; Excess: 160.
Info:All done!
Info:Duplicates has already been done
Info:Purge has already been done
Info:--------------------------------------------------------------------------
Info:Merge
Info:--------------------------------------------------------------------------
Info:Merging relations...
    Info:Minimal bwcost: 11229428087785.
Info:Replaying merge history...
    Info:Nrows: 429709; Ncols: 429549; Weight: 39683445.
Info:--------------------------------------------------------------------------
Info:Linear algebra
Info:--------------------------------------------------------------------------
Info:Calling Block-Wiedemann...
Info:Adding characters...
    Info:23 vectors remaining after characters.
Info:--------------------------------------------------------------------------
Info:Square root
Info:--------------------------------------------------------------------------
Info:Preparing 23 dependency files
Info:Testing dependency number 0...
Info:Testing dependency number 1...
Info:Testing dependency number 2...
    Info:Factorization was successful!
    Info:1294708844697112254436097584968547945981383083772698308787 [prime]
    Info:4777443433045807409784577746210343993689395663519700239 [prime]
    Info:Doing gcds with previously known composite factors
    Info:non-trivial factor: 1294708844697112254436097584968547945981383083772698308787 [prime]
    Info:non-trivial factor: 4777443433045807409784577746210343993689395663519700239 [prime]
    Info:Now: 2 prime factors, 0 composite factors
    Info:Factorization complete
Info:--------------------------------------------------------------------------
Info:All done!
Info:--------------------------------------------------------------------------
4777443433045807409784577746210343993689395663519700239 1294708844697112254436097584968547945981383083772698308787
OK

real   1107m44.403s

CADO-NFS 1.0

2496890068830923474072841430459908634316685159658333502684039926570089012421817602798138875545089279989870245339986086104798383228913222266325933<145>

1013531103888619505006197083827796749286121<43>
2463555444180345055192629068417870012062473942083676973167640897464234836684706707344709382065991387173<103>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3188838265
Step 1 took 42214ms
Step 2 took 16354ms
********** Factor found in step 2: 1013531103888619505006197083827796749286121
Found probable prime factor of 43 digits: 1013531103888619505006197083827796749286121
Probable prime cofactor 2463555444180345055192629068417870012062473942083676973167640897464234836684706707344709382065991387173 has 103 digits

GMP-ECM 6.3

3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421<160>

426217114541661746695683731251279079171482019389<48>
8298279760745127726048274411529874841031430482941179780602399534716656800755123151742274432067759568300000994289<112>

Number: 84447_178
N = 3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421 (160 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=426217114541661746695683731251279079171482019389 (pp48)
r2=8298279760745127726048274411529874841031430482941179780602399534716656800755123151742274432067759568300000994289 (pp112)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 64.39 hours.
Factorization parameters were as follows:
n: 3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421
m: 200000000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
# Murphy_E = 1.122e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18494006
Relations: 2316502 relations
Pruned matrix : 1359465 x 1359690
Polynomial selection time: 0.00 hours.
Total sieving time: 61.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.32 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,200000
total time: 64.39 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

MSieve 1.52 SVN 946

13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047<167>

246315386309599198977867238338752923845897486993058057178833448149793447876477<78>
54220775412960737151503731940649458249067823761200726400428624509954717856803545118120411<89>

Number: n
N=13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047
  ( 167 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sun Feb 26 07:59:53 2012  prp78 factor: 246315386309599198977867238338752923845897486993058057178833448149793447876477
Sun Feb 26 07:59:53 2012  prp89 factor: 54220775412960737151503731940649458249067823761200726400428624509954717856803545118120411
Sun Feb 26 07:59:53 2012  elapsed time 02:17:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.663).
Factorization parameters were as follows:
name: KA_84447_179
n: 13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047
m: 200000000000000000000000000000000000
#  c167, diff: 180.88
skew: 0.25
deg: 5
c5: 23750
c0: 23
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5806402 hash collisions in 75496406 relations (72407893 unique)
Msieve: matrix is 1050148 x 1050396 (291.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437<134>

3983396483569495137370091474657233912787753451544267914772289<61>
10452301639947591811758958421617197262990077197481494778619061536098846133<74>

Number: n
N=41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437
  ( 134 digits)
Divisors found:

Thu Apr 26 06:22:09 2012  prp61 factor: 3983396483569495137370091474657233912787753451544267914772289
Thu Apr 26 06:22:09 2012  prp74 factor: 10452301639947591811758958421617197262990077197481494778619061536098846133
Thu Apr 26 06:22:09 2012  elapsed time 03:40:29 (Msieve 1.44 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.757).
Factorization parameters were as follows:
name: KA_84447_181
n: 41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437
skew: 242304.35
# norm 2.55e+18
c5: 73680
c4: -204507814606
c3: -8589323767053663
c2: 9739335946927274612030
c1: 185925962267390328597400176
c0: -93827205681811328266241571730432
# alpha -6.19
Y1: 22032418167793
Y0: -56288965219506906384749037
# Murphy_E 4.67e-11
# M 16998256190986802629258346140679451153175134873257628282528154178069481016875180698735920078266645539296539600962508225183449982904867
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, 23280000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2892743 hash collisions in 12636361 relations
Msieve: matrix is 1304110 x 1304335 (376.2 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:
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) ----------

5535997459268534483072595137208968607252302355785445134258864698036833322042812199298822216540540619288726305384558791928807072673806646547686426535492663710735391704599175573431<178>

20633912719499762325135527589423393033734146509904821212831<59>
268296058751708545546171705635488461800947923742922772264174835908659058152762870114024422438272255170813795222271002601<120>

Number: 3
N=5535997459268534483072595137208968607252302355785445134258864698036833322042812199298822216540540619288726305384558791928807072673806646547686426535492663710735391704599175573431
  ( 178 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=20633912719499762325135527589423393033734146509904821212831 (pp59)
 r2=268296058751708545546171705635488461800947923742922772264174835908659058152762870114024422438272255170813795222271002601 (pp120)
Version: Msieve-1.40
Total time: 174.47 hours.
Scaled time: 303.41 units (timescale=1.739).
Factorization parameters were as follows:
n: 5535997459268534483072595137208968607252302355785445134258864698036833322042812199298822216540540619288726305384558791928807072673806646547686426535492663710735391704599175573431
m: 1000000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1458447 x 1458672
Total sieving time: 170.90 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.02 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 174.47 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5465813197366499830071405539817932682455374150886496573028723349485352774405883202030268944370585414803538987478567689<118>

157361885518576286936297462082470894504365651<45>
34734034733723817985152633944792114847653712888103949185445934747090812339<74>

N=5465813197366499830071405539817932682455374150886496573028723349485352774405883202030268944370585414803538987478567689
  ( 118 digits)
Divisors found:
 r1=157361885518576286936297462082470894504365651 (pp45)
 r2=34734034733723817985152633944792114847653712888103949185445934747090812339 (pp74)
Version: Msieve-1.40
Total time: 29.50 hours.
Scaled time: 55.36 units (timescale=1.877).
Factorization parameters were as follows:
n: 5465813197366499830071405539817932682455374150886496573028723349485352774405883202030268944370585414803538987478567689
skew: 117083.93
# norm 4.66e+015
c5: 1260
c4: -1149115095
c3: -63525003146643
c2: 18454157297442632778
c1: 247093903301060258450657
c0: -3785727280403878274402079597
# alpha -5.45
Y1: 1897560883447
Y0: -84617194944772468362868
# Murphy_E 3.95e-010
# M 683372466176945597161394372800135584697922906919953078724195855326171480496489139807424435832742070837441366231782931
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 623218 x 623445
Total sieving time: 28.79 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 29.50 hours.
 --------- CPU info (if available) ----------

4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069<166>

9599125251790290715824977695275957336602817291346638979007<58>
494302662220364384434526378426828747541570305152952281683740610304913610486224068215753756895105080507446867<108>

N=4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=9599125251790290715824977695275957336602817291346638979007 (pp58)
 r2=494302662220364384434526378426828747541570305152952281683740610304913610486224068215753756895105080507446867 (pp108)
Version: Msieve-1.40
Total time: 0.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069
m: 10000000000000000000000000000000000000
deg: 5
c5: 38
c0: 115
skew: 1.25
# Murphy_E = 5.673e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 12900001)
Primes: , , 
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: 0.29 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.29 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).

574310050275114463095776038459967284564720905476792946655745825655858287801311768970455264409082378242184694343214793779421364588148149309495229206206684731595023295889<168>

941584817818383684603313041301<30>

609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3879649023
Step 1 took 11397ms
Step 2 took 6500ms
********** Factor found in step 2: 941584817818383684603313041301
Found probable prime factor of 30 digits: 941584817818383684603313041301
Composite cofactor has 138 digits

609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189<138>

73814851327732552528136857091501477269997380217<47>
8263104016588495400839537722450537074364882610874272545877771951254031745498398625742654517<91>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189 (138 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5172854632
Step 1 took 24559ms
Step 2 took 8840ms
********** Factor found in step 2: 73814851327732552528136857091501477269997380217
Found probable prime factor of 47 digits: 73814851327732552528136857091501477269997380217
Probable prime cofactor 8263104016588495400839537722450537074364882610874272545877771951254031745498398625742654517 has 91 digits

Core i7-4930K

9116363789585272681748030534954598198885074539097409385658489954707753656243078361623388208423574320956103440639326628957078435070097528480027591419114651<154>

920025685591022279357679587<27>
9908814430250327838889861626031875167315944778411924261660370329713855406336457799756795103940871198643751658248804142938410473<127>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2396083362
Step 1 took 5256ms
Step 2 took 3097ms
********** Factor found in step 2: 920025685591022279357679587
Found probable prime factor of 27 digits: 920025685591022279357679587
Probable prime cofactor has 127 digits

462307193273253659224617525818247661972788907990978967473113022855758778998745687303884541842413799078949867116372464649288825596325586503913278383466898013<156>

331675878405933931206278920150788269900277723887304985387457117599471333<72>
1393852322017345218656861079265483186089484934532521367246451722306028518050701159961<85>

Number: 84447_187
N = 462307193273253659224617525818247661972788907990978967473113022855758778998745687303884541842413799078949867116372464649288825596325586503913278383466898013 (156 digits)
SNFS difficulty: 189 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 13.17 hours.
Factorization parameters were as follows:
n: 462307193273253659224617525818247661972788907990978967473113022855758778998745687303884541842413799078949867116372464649288825596325586503913278383466898013
m: 10000000000000000000000000000000000000
deg: 5
c5: 7600
c0: 23
skew: 0.31
# Murphy_E = 4.337e-11
type: snfs
lss: 1
rlim: 9000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22034488
Relations: 3610356 relations
Pruned matrix : 2163014 x 2163257
Polynomial selection time: 0.00 hours.
Total sieving time: 11.91 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9000000,12000000,28,28,54,54,2.6,2.6,100000
total time: 13.17 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134
processors: 12, speed: 2.21GHz

__Square root phase + factors__
Sun Oct 28 22:16:50 2018  Msieve v. 1.53 (SVN 1005)
Sun Oct 28 22:16:50 2018  random seeds: f6c0a884 0c503aed
Sun Oct 28 22:16:50 2018  factoring 462307193273253659224617525818247661972788907990978967473113022855758778998745687303884541842413799078949867116372464649288825596325586503913278383466898013 (156 digits)
Sun Oct 28 22:16:51 2018  searching for 15-digit factors
Sun Oct 28 22:16:51 2018  commencing number field sieve (156-digit input)
Sun Oct 28 22:16:51 2018  R0: -10000000000000000000000000000000000000
Sun Oct 28 22:16:51 2018  R1: 1
Sun Oct 28 22:16:51 2018  A0: 23
Sun Oct 28 22:16:51 2018  A1: 0
Sun Oct 28 22:16:51 2018  A2: 0
Sun Oct 28 22:16:51 2018  A3: 0
Sun Oct 28 22:16:51 2018  A4: 0
Sun Oct 28 22:16:51 2018  A5: 7600
Sun Oct 28 22:16:51 2018  skew 0.31, size 2.801e-013, alpha -0.733, combined = 3.859e-011 rroots = 1
Sun Oct 28 22:16:51 2018  
Sun Oct 28 22:16:51 2018  commencing square root phase
Sun Oct 28 22:16:51 2018  reading relations for dependency 1
Sun Oct 28 22:16:51 2018  read 1083620 cycles
Sun Oct 28 22:16:52 2018  cycles contain 3610356 unique relations
Sun Oct 28 22:17:09 2018  read 3610356 relations
Sun Oct 28 22:17:19 2018  multiplying 3610356 relations
Sun Oct 28 22:18:40 2018  multiply complete, coefficients have about 124.90 million bits
Sun Oct 28 22:18:41 2018  initial square root is modulo 922057141
Sun Oct 28 22:20:18 2018  sqrtTime: 207
Sun Oct 28 22:20:18 2018  p72 factor: 331675878405933931206278920150788269900277723887304985387457117599471333
Sun Oct 28 22:20:18 2018  p85 factor: 1393852322017345218656861079265483186089484934532521367246451722306028518050701159961
Sun Oct 28 22:20:18 2018  elapsed time 00:03:28
Sun Oct 28 22:20:18 2018 -> Computing 1.54078e+09 scale for this machine...
Sun Oct 28 22:20:18 2018 -> procrels -speedtest> PIPE
Sun Oct 28 22:20:20 2018 -> Factorization summary written to s189-84447_187.txt

msieve v1.53, GGNFS, factmsieve.py v0.76

Intel Core i7-8750H, Windows 10

52107556064766424918437346343729316327398659546942640799130943087090555723219361801283111239248494401113134024874583363652902400919365448223218320419242737633397303<164>

57134394215934680767965458681121201064369192727909<50>
1303325717370377387745581356277087997751837119433139<52>
699761609745300372678119127359410377245406527707370552042555753<63>

52107556064766424918437346343729316327398659546942640799130943087090555723219361801283111239248494401113134024874583363652902400919365448223218320419242737633397303
=57134394215934680767965458681121201064369192727909*1303325717370377387745581356277087997751837119433139*699761609745300372678119127359410377245406527707370552042555753

n: 52107556064766424918437346343729316327398659546942640799130943087090555723219361801283111239248494401113134024874583363652902400919365448223218320419242737633397303
skew: 0.4
type: snfs
c0: 23
c5: 2365
Y0: 20000000000000000000000000000000000000
Y1: -1
# f(x) = 2365*x^5+23
# g(x) = -x+20000000000000000000000000000000000000

Info:Square Root: Factors: 57134394215934680767965458681121201064369192727909 1303325717370377387745581356277087997751837119433139 699761609745300372678119127359410377245406527707370552042555753
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.02/1.35627
Info:Generate Free Relations: Total cpu/real time for freerel: 117.88/11.0756
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24707531
Info:Lattice Sieving: Average J: 1894.19 for 1787196 special-q, max bucket fill -bkmult 1.0,1s:1.077030
Info:Lattice Sieving: Total time: 614260s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 85.8/184.916
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 183.79999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 709.77/672.132
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 574.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 589.43/709.291
Info:Filtering - Merging: Total cpu/real time for merge: 1052.42/956.752
Info:Filtering - Merging: Total cpu/real time for replay: 67.57/52.9039
Info:Linear Algebra: Total cpu/real time for bwc: 90902.3/17972.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11598.82, iteration CPU time 0.17, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (57856 iterations)
Info:Linear Algebra: Lingen CPU time 371.78, WCT time 84.01
Info:Linear Algebra: Mksol: WCT time 6220.72, iteration CPU time 0.18, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (28928 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.09/19.1654
Info:Square Root: Total cpu/real time for sqrt: 843.85/401.687
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.25664e+06/122632
Info:root: Cleaning up computation data in /tmp/cado.azkf0guc
57134394215934680767965458681121201064369192727909 1303325717370377387745581356277087997751837119433139 699761609745300372678119127359410377245406527707370552042555753

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)

124880316183815280979889832556857104219360819819557802086717220190452341152648604700725143846514204232226778710600876429776922676244329653143278637398006877290465207111539647775068203549<186>

350974110220952307892982374931132410562899020295519054427719<60>
355810621202794995483560168894840968190121422181086169358651877787586966223391672637528152998867173931419140309986039828904571<126>

Number: 5
N=124880316183815280979889832556857104219360819819557802086717220190452341152648604700725143846514204232226778710600876429776922676244329653143278637398006877290465207111539647775068203549
  ( 186 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=350974110220952307892982374931132410562899020295519054427719 (pp60)
 r2=355810621202794995483560168894840968190121422181086169358651877787586966223391672637528152998867173931419140309986039828904571 (pp126)
Version: Msieve-1.40
Total time: 234.80 hours.
Scaled time: 408.31 units (timescale=1.739).
Factorization parameters were as follows:
n: 124880316183815280979889832556857104219360819819557802086717220190452341152648604700725143846514204232226778710600876429776922676244329653143278637398006877290465207111539647775068203549
m: 100000000000000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 9100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1871882 x 1872107
Total sieving time: 228.84 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 5.36 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 234.80 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

72727968688695585603689987463994870764313534100804792390357802467009253677068680083062995818141800400003827787825720820294931051971789203724437554426358146967913568550895223877740456846477<188>

462912779541099422270432802740081376384377459039<48>
157109442432747697099328484594929971629995370057566098340143759624545233498237465027174720326740842843409312361848661408175900208596113700243<141>

Number: 6
N=72727968688695585603689987463994870764313534100804792390357802467009253677068680083062995818141800400003827787825720820294931051971789203724437554426358146967913568550895223877740456846477
  ( 188 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=462912779541099422270432802740081376384377459039 (pp48)
 r2=157109442432747697099328484594929971629995370057566098340143759624545233498237465027174720326740842843409312361848661408175900208596113700243 (pp141)
Version: Msieve-1.40
Total time: 352.59 hours.
Scaled time: 613.16 units (timescale=1.739).
Factorization parameters were as follows:
n: 72727968688695585603689987463994870764313534100804792390357802467009253677068680083062995818141800400003827787825720820294931051971789203724437554426358146967913568550895223877740456846477
m: 100000000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 11150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2192499 x 2192722
Total sieving time: 341.77 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 8.04 hours.
Time per square root: 2.50 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 352.59 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

265119402713445252164487815927529870646394134220176165070011962594729497989959457829028230823387595605877416050764276577814756390984757609403441<144>

33705665481611493772907043534461756788025811455399<50>
7865722243581991716531419654974598329932253135233579253368040904868893694600287966614289005159<94>

265119402713445252164487815927529870646394134220176165070011962594729497989959457829028230823387595605877416050764276577814756390984757609403441=33705665481611493772907043534461756788025811455399*7865722243581991716531419654974598329932253135233579253368040904868893694600287966614289005159

Info:Square Root: Factors: 7865722243581991716531419654974598329932253135233579253368040904868893694600287966614289005159 33705665481611493772907043534461756788025811455399
Info:Square Root: Total cpu/real time for sqrt: 11768.5/1670.01
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): 78381/43.080/51.692/56.940/0.938
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78381/41.900/46.310/52.440/1.270
Info:Polynomial Selection (size optimized): Total time: 38934.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1733.11
Info:Polynomial Selection (root optimized): Rootsieve time: 1731.54
Info:Generate Factor Base: Total cpu/real time for makefb: 57.66/15.6611
Info:Generate Free Relations: Total cpu/real time for freerel: 1347.76/288.899
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48566238
Info:Lattice Sieving: Average J: 3783.57 for 1092775 special-q, max bucket fill -bkmult 1.0,1s:1.211010
Info:Lattice Sieving: Total time: 486359s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 268.49/634.416
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 633.8000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1847.88/1501.81
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1376.1000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1321.48/786.967
Info:Filtering - Merging: Total cpu/real time for merge: 1805.62/1561.09
Info:Filtering - Merging: Total cpu/real time for replay: 138.4/107.774
Info:Linear Algebra: Total cpu time for bwc: 391951
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: 150.34/37.337
Info:Square Root: Total cpu/real time for sqrt: 11768.5/1670.01
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.96311e+06/1742.56
7865722243581991716531419654974598329932253135233579253368040904868893694600287966614289005159 33705665481611493772907043534461756788025811455399

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)

9409783224960833311677924417223388204990654231344599169481535499877364790059769445775102009888446095356887468688185333677742740631944653755631547238927995088090977462750809847988118269<184>

237781145348903711509507503856255687387182794503561359766309848528711882217<75>
39573294220420900410397678606764099530726995134680895802597498134622860082991979037337999793818180675143840757<110>

N=9409783224960833311677924417223388204990654231344599169481535499877364790059769445775102009888446095356887468688185333677742740631944653755631547238927995088090977462750809847988118269
  ( 184 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=237781145348903711509507503856255687387182794503561359766309848528711882217 (pp75)
 r2=39573294220420900410397678606764099530726995134680895802597498134622860082991979037337999793818180675143840757 (pp110)
Version: Msieve v. 1.46
Total time:
Scaled time: 1361.82 units (timescale=1.862).
Factorization parameters were as follows:
n: 9409783224960833311677924417223388204990654231344599169481535499877364790059769445775102009888446095356887468688185333677742740631944653755631547238927995088090977462750809847988118269
m: 200000000000000000000000000000000000000
deg: 5
c5: 2375
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 22200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2328322 x 2328547
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time:

1208899189884969689989869905442745253753325358873154946475883754526039968276167222543490644149416866068024378383972292885168572038230186210148280058793143<154>

1030242743440017222371205477470764914571531796629141318706012515981<67>
1173411992059669576868556579785290925774876613249012692093651276056016434183204686629203<88>

p67 factor: 1030242743440017222371205477470764914571531796629141318706012515981
p88 factor: 1173411992059669576868556579785290925774876613249012692093651276056016434183204686629203


Msieve v. 1.54 (SVN 1032M)
random seeds: 8bff1ac8 7af2d693
factoring 1208899189884969689989869905442745253753325358873154946475883754526039968276167222543490644149416866068024378383972292885168572038230186210148280058793143 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 38
skew 1.00, size 9.534e-14, alpha 0.429, combined = 1.929e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2309835 hash collisions in 36807390 relations
added 727752 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37535142 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1240.3 MB
keeping 40232044 ideals with weight <= 200, target excess is 197568
commencing in-memory singleton removal
begin with 37535142 relations and 40232044 unique ideals
reduce to 14369363 relations and 13116728 ideals in 14 passes
max relations containing the same ideal: 105
removing 2142535 relations and 1742535 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12226828 relations and 13116728 unique ideals
reduce to 11951236 relations and 11088698 ideals in 9 passes
max relations containing the same ideal: 94
removing 1726410 relations and 1326410 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10224826 relations and 11088698 unique ideals
reduce to 10006813 relations and 9536832 ideals in 9 passes
max relations containing the same ideal: 83
removing 1107838 relations and 867036 ideals in 240802 cliques
commencing in-memory singleton removal
begin with 8898975 relations and 9536832 unique ideals
reduce to 8794271 relations and 8562681 ideals in 9 passes
max relations containing the same ideal: 76
relations with 0 large ideals: 4016
relations with 1 large ideals: 8211
relations with 2 large ideals: 74425
relations with 3 large ideals: 371132
relations with 4 large ideals: 1103387
relations with 5 large ideals: 2046636
relations with 6 large ideals: 2479170
relations with 7+ large ideals: 2707294
commencing 2-way merge
reduce to 5453831 relation sets and 5222241 unique ideals
commencing full merge
memory use: 616.2 MB
found 2539174 cycles, need 2516441
weight of 2516441 cycles is about 226667697 (90.07/cycle)
distribution of cycle lengths:
1 relations: 214545
2 relations: 215411
3 relations: 223977
4 relations: 216901
5 relations: 210350
6 relations: 193647
7 relations: 180908
8 relations: 163415
9 relations: 146144
10+ relations: 751143
heaviest cycle: 27 relations
commencing cycle optimization
start with 18624264 relations
pruned 634578 relations
memory use: 548.8 MB
distribution of cycle lengths:
1 relations: 214545
2 relations: 220705
3 relations: 232619
4 relations: 224181
5 relations: 218059
6 relations: 199663
7 relations: 186288
8 relations: 167235
9 relations: 149295
10+ relations: 703851
heaviest cycle: 26 relations
RelProcTime: 714
elapsed time 00:11:55


Msieve v. 1.54 (SVN 1032M)
random seeds: 43ac7981 67225048
factoring 1208899189884969689989869905442745253753325358873154946475883754526039968276167222543490644149416866068024378383972292885168572038230186210148280058793143 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 38
skew 1.00, size 9.534e-14, alpha 0.429, combined = 1.929e-11 rroots = 1

commencing linear algebra
read 2516441 cycles
cycles contain 8607343 unique relations
read 8607343 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1072.0 MB
read 2516441 cycles
matrix is 2516262 x 2516441 (924.5 MB) with weight 274352917 (109.02/col)
sparse part has weight 214665054 (85.31/col)
filtering completed in 2 passes
matrix is 2515495 x 2515674 (924.4 MB) with weight 274323494 (109.05/col)
sparse part has weight 214654558 (85.33/col)
matrix starts at (0, 0)
matrix is 2515495 x 2515674 (924.4 MB) with weight 274323494 (109.05/col)
sparse part has weight 214654558 (85.33/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2515447 x 2515674 (881.1 MB) with weight 224005833 (89.04/col)
sparse part has weight 205831217 (81.82/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 838.6 MB
linear algebra at 0.1%, ETA 1h50m
checkpointing every 1220000 dimensions
lanczos halted after 39781 iterations (dim = 2515445)
recovered 37 nontrivial dependencies
BLanczosTime: 6872
elapsed time 01:54:33


Msieve v. 1.54 (SVN 1032M)
random seeds: 3a332fee a5b243a2
factoring 1208899189884969689989869905442745253753325358873154946475883754526039968276167222543490644149416866068024378383972292885168572038230186210148280058793143 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 38
skew 1.00, size 9.534e-14, alpha 0.429, combined = 1.929e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1257671 cycles
cycles contain 4303536 unique relations
read 4303536 relations
multiplying 4303536 relations
multiply complete, coefficients have about 119.64 million bits
initial square root is modulo 386530451
sqrtTime: 311
p67 factor: 1030242743440017222371205477470764914571531796629141318706012515981
p88 factor: 1173411992059669576868556579785290925774876613249012692093651276056016434183204686629203
elapsed time 00:05:12

CADO-NFS/Msieve

4802933027424316096619197629268662214396588721868831237153359474968474304061747881363789115457265910095596959390781697707027916255643007993<139>

806053272988326258718219412719517715469986534953<48>
5958580143987424786037512617120086802428814119474393270494523458362090332910570266428985681<91>

303878666419*13759089992135573*420508354863642752286413817817*806053272988326258718219412719517715469986534953*5958580143987424786037512617120086802428814119474393270494523458362090332910570266428985681

Info:root: Command line parameters: ./cado-nfs.py 4802933027424316096619197629268662214396588721868831237153359474968474304061747881363789115457265910095596959390781697707027916255643007993
...
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66172/41.110/49.919/54.650/0.963
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66172/39.770/44.652/50.570/1.223
Info:Polynomial Selection (size optimized): Total time: 47487.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5811.55
Info:Polynomial Selection (root optimized): Rootsieve time: 5809.56
Info:Generate Factor Base: Total cpu/real time for makefb: 23.06/2.47613
Info:Generate Free Relations: Total cpu/real time for freerel: 293.98/26.0644
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25178618
Info:Lattice Sieving: Average J: 3800.47 for 833653 special-q, max bucket fill: 0.666667
Info:Lattice Sieving: Total CPU time: 1.61568e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.4/272.178
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 272.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 524.3/405.004
Info:Filtering - Singleton removal: Total cpu/real time for purge: 267.42/293.445
Info:Filtering - Merging: Total cpu/real time for merge: 921.51/840.294
Info:Filtering - Merging: Total cpu/real time for replay: 72.21/56.8201
Info:Linear Algebra: Total cpu/real time for bwc: 241657/0.000304937
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14645.0
Info:Linear Algebra: Lingen CPU time 26372.49, WCT time 2511.0
Info:Linear Algebra: Mksol: WCT time 8105.97
Info:Quadratic Characters: Total cpu/real time for characters: 91.15/24.2487
Info:Square Root: Total cpu/real time for sqrt: 6660.03/889.104
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.91962e+06/182274
Info:root: Cleaning up computation data in /tmp/cado.uo1zaive
806053272988326258718219412719517715469986534953 5958580143987424786037512617120086802428814119474393270494523458362090332910570266428985681

cado-nfs-2.3.0

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

2726607590268443321316634507461143697458120455709237834450825024297398788438943576637293789140407630417343965688537217831096232436097704909649<142>

4753695109444889059134090208635701<34>
14161795099520576699080589690921131<35>
40501677310719697948919069632876937389046410400182062582187009943257651079<74>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=641435155
Step 1 took 9912ms
Step 2 took 5953ms
********** Factor found in step 2: 14161795099520576699080589690921131
Found probable prime factor of 35 digits: 14161795099520576699080589690921131
Composite cofactor has 108 digits

Divisors found:
 r1=4753695109444889059134090208635701 (pp34)
 r2=40501677310719697948919069632876937389046410400182062582187009943257651079 (pp74)
Version: Msieve v. 1.45 SVN229
Total time: 6.28 hours.
Scaled time: 15.07 units (timescale=2.400).
Factorization parameters were as follows:
n: 192532625356283254521852528544586599517104801559231731694328823008834520624071023017834995699713366480571379
# norm 3.508037e-10 alpha -5.969817 e 1.527e-09
skew: 48176.29
c0: -190410568289193227608665396
c1:  151535984853635758548
c2:  474605969494520391
c3: -3251877773102
c4: -80771374
c5:  1560
Y0: -658077263782935016067
Y1:  137476183237
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [2000000, 3100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 338025 x 338255
Total sieving time: 5.94 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000
total time: 6.28 hours.

GMP-ECM 6.2.3+Msieve v. 1.45

1275229835008750425775750833513711237627334215926613878863233278129304949401900428040961724647675809728996880720706208859155898525263813172117435244332358453683149012284154765919818246189831384413<196>

446824055047300416966780662532518808232782273197629<51>
2853986531396022698068802292812284642862735947925390048401849567682892201620990659513700205898418030662289744222006967701399793372139887462753697<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2727544917
Step 1 took 21228ms
Step 2 took 7693ms
********** Factor found in step 2: 446824055047300416966780662532518808232782273197629
Found probable prime factor of 51 digits: 446824055047300416966780662532518808232782273197629
Probable prime cofactor 2853986531396022698068802292812284642862735947925390048401849567682892201620990659513700205898418030662289744222006967701399793372139887462753697 has 145 digits

GMP-ECM 6.2.3

38288464325138284996710203707531613565542284959956923962109413307716233119195641472082114467586149844344941858418237397325475637920385325682003504632026815112147<161>

489881415127413066892071278477840002187309200724019466581335152289<66>
78158638280204716868716640840349575428123123416804787577633751139815399907472810219810413185523<95>

38288464325138284996710203707531613565542284959956923962109413307716233119195641472082114467586149844344941858418237397325475637920385325682003504632026815112147=489881415127413066892071278477840002187309200724019466581335152289*78158638280204716868716640840349575428123123416804787577633751139815399907472810219810413185523

cado polynomial
n: 38288464325138284996710203707531613565542284959956923962109413307716233119195641472082114467586149844344941858418237397325475637920385325682003504632026815112147
skew: 0.79
type: snfs
c0: 23
c5: 76
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 76*x^5+23
# g(x) = -x+10000000000000000000000000000000000000000

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

cado log (extracts) 
Info:Square Root: Factors: 78158638280204716868716640840349575428123123416804787577633751139815399907472810219810413185523 489881415127413066892071278477840002187309200724019466581335152289
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.83/2.62875
Info:Generate Free Relations: Total cpu/real time for freerel: 204.42/52.6036
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 44750802
Info:Lattice Sieving: Average J: 1893.74 for 3030574 special-q, max bucket fill -bkmult 1.0,1s:1.076110
Info:Lattice Sieving: Total time: 1.00943e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.46/108.473
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 610.56/352.584
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.19999999999993s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 385.3/233.003
Info:Filtering - Merging: Merged matrix has 3132688 rows and total weight 540471343 (172.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 492.41/141.304
Info:Filtering - Merging: Total cpu/real time for replay: 127.88/111.333
Info:Linear Algebra: Total cpu/real time for bwc: 179009/45762.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 29295.42, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (98304 iterations)
Info:Linear Algebra: Lingen CPU time 654.96, WCT time 191.75
Info:Linear Algebra: Mksol: WCT time 15905.61, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 117.15/48.8095
Info:Square Root: Total cpu/real time for sqrt: 905.08/285.861
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.96518e+06/128432
Info:root: Cleaning up computation data in /tmp/cado.7__0n_q6
78158638280204716868716640840349575428123123416804787577633751139815399907472810219810413185523 489881415127413066892071278477840002187309200724019466581335152289

cado-nfs-3.0.0

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

432073749526223636776398613452493534524111512175683559021887187910459111218034313256549807352517531865312323265195204672066192514276647275319205113883525490882646061392671429<174>

72667874767930661557026854482320086414343562124770373580164100898838432098883<77>
5945870178618513278339287620056509073523882080956159876626189469743408613706247926377924882264663<97>

Number: n
N=432073749526223636776398613452493534524111512175683559021887187910459111218034313256549807352517531865312323265195204672066192514276647275319205113883525490882646061392671429  ( 174 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Nov 15 04:31:10 2021  p77 factor: 72667874767930661557026854482320086414343562124770373580164100898838432098883
Mon Nov 15 04:31:10 2021  p97 factor: 5945870178618513278339287620056509073523882080956159876626189469743408613706247926377924882264663
Mon Nov 15 04:31:10 2021  elapsed time 01:45:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 76x10^201+23 = 84(200)7
#
n: 432073749526223636776398613452493534524111512175683559021887187910459111218034313256549807352517531865312323265195204672066192514276647275319205113883525490882646061392671429
m: 10000000000000000000000000000000000000000
deg: 5
c5: 760
c0: 23
skew: 0.50
# Murphy_E = 1.061e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9982068 hash collisions in 66481250 relations (59093892 unique)
Msieve: matrix is 2114903 x 2115130 (729.0 MB)

Sieving start time : 2021/11/14 14:04:44
Sieving end time  : 2021/11/15 02:44:08

Total sieving time: 12hrs 39min 24secs.

Total relation processing time: 1hrs 26min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

398303376473037085906366520546245151296285588061600775711333301581234374796846963838531720309586113326751689338039930237866454481356324259660968008221538437932725794051262066514887<180>

18488387426392320245331814036977893<35>
21543435200003210930301457142841998912380939302071775887708750612573137468174633652615033099800648281108422745990412181335555681697803810392134459<146>

Run 55 out of 300:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=802221423
Step 1 took 16150ms
Step 2 took 5431ms
********** Factor found in step 2: 18488387426392320245331814036977893
Found probable prime factor of 35 digits: 18488387426392320245331814036977893
Probable prime cofactor 21543435200003210930301457142841998912380939302071775887708750612573137468174633652615033099800648281108422745990412181335555681697803810392134459 has 146 digits

GMP-ECM 6.4.4

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

1289945210193321406556417457037199582005843053517324450669665051919976583747770333088286561823<94>

536549705596710077997623714312537<33>
2404148575123607090188473693148490692844138130427612101172279<61>

starting SIQS on c94: 1289945210193321406556417457037199582005843053517324450669665051919976583747770333088286561823
n = 95 digits, 314 bits
factor base: 86080 primes (max prime = 2335303)
...
recovered 18 nontrivial dependencies
p61 = 2404148575123607090188473693148490692844138130427612101172279
p33 = 536549705596710077997623714312537

Yafu

3185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592396999036003185380778741774592397<202>

1241683731241677930291448051062710427409<40>

2565372081952308979075527526327966576163564601603536311788078508871898643435669628146164639303043225516454722016892601572724475110499769286732478687585734859283133<163>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3833523918
Step 1 took 259912ms
Step 2 took 152527ms
********** Factor found in step 2: 1241683731241677930291448051062710427409
Found probable prime factor of 40 digits: 1241683731241677930291448051062710427409
Composite cofactor

2565372081952308979075527526327966576163564601603536311788078508871898643435669628146164639303043225516454722016892601572724475110499769286732478687585734859283133<163>

2436030393629230557213384060528977535133489450268822107<55>
1053095268704912770088561391281713447928672377449463715595343115928450549700044250455983000335356000046533319<109>

Number: n
N=2565372081952308979075527526327966576163564601603536311788078508871898643435669628146164639303043225516454722016892601572724475110499769286732478687585734859283133  ( 163 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Apr  5 15:15:35 2024  prp55 factor: 2436030393629230557213384060528977535133489450268822107
Fri Apr  5 15:15:35 2024  prp109 factor: 1053095268704912770088561391281713447928672377449463715595343115928450549700044250455983000335356000046533319
Fri Apr  5 15:15:35 2024  elapsed time 03:21:28 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 76x10^204+23 = 84(203)7
#
n: 2565372081952308979075527526327966576163564601603536311788078508871898643435669628146164639303043225516454722016892601572724475110499769286732478687585734859283133
m: 100000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 115
skew: 1.25
# Murphy_E = 7.44e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4150107 hash collisions in 19247761 relations (15542623 unique)
Msieve: matrix is 2500168 x 2500394 (705.2 MB)

Sieving start time: 2024/04/04 19:46:40
Sieving end time  : 2024/04/05 11:53:42

Total sieving time: 16hrs 7min 2secs.

Total relation processing time: 3hrs 7min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 45sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3446266495920448123738393558430869549449265111289530376709525286632043886442928473449229783448436493757471827972068295673504300900766659727251300253833680891828395645373729367082487430880484811087<196>

24789018056320387527871621773432307814119122484701899050318248274611199458295852934886527183<92>
139023921322360046663354763116329048811135340327266933383919004481921904220893939333723595874654545954689<105>

Number: n
N=3446266495920448123738393558430869549449265111289530376709525286632043886442928473449229783448436493757471827972068295673504300900766659727251300253833680891828395645373729367082487430880484811087
  ( 196 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Jun 14 19:16:15 2021  p92 factor: 24789018056320387527871621773432307814119122484701899050318248274611199458295852934886527183
Mon Jun 14 19:16:15 2021  p105 factor: 139023921322360046663354763116329048811135340327266933383919004481921904220893939333723595874654545954689
Mon Jun 14 19:16:15 2021  elapsed time 01:49:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 76x10^205+23 = 84(204)7
#
n: 3446266495920448123738393558430869549449265111289530376709525286632043886442928473449229783448436493757471827972068295673504300900766659727251300253833680891828395645373729367082487430880484811087
m: 100000000000000000000000000000000000000000
deg: 5
c5: 76
c0: 23
skew: 0.79
# Murphy_E = 1.003e-11
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8144626 hash collisions in 62511886 relations (57098617 unique)
Msieve: matrix is 2134375 x 2134601 (739.9 MB)

Sieving start time : 2021/06/14 00:43:56
Sieving end time  : 2021/06/14 17:25:21

Total sieving time: 16hrs 41min 25secs.

Total relation processing time: 1hrs 26min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 52sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

1697879406794314196752573129263222390539946400024037034251148744754916396982514734715416763683460163743550441000817198291664275679216489675798175460088078189353302756821608790847839<181>

90521619699443216065276402937<29>
18756617617224955378384569266621417352999666837295260824669436744069630029156357847039805478240254043954262205194671517272014269541972395596072995655447<152>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=999651804
Step 1 took 4594ms
Step 2 took 2265ms
********** Factor found in step 2: 90521619699443216065276402937
Found probable prime factor of 29 digits: 90521619699443216065276402937
Probable prime cofactor 

4242579880996808565714791505000413207405866748979706258561270330680439865214684584836966478981314636101631960154650624581078242135510679906790680172584765397475117654672013002539532936771<187>

125669096583241408186906869057179<33>

33759929818438572663222875745342691312768476699814781452713707820041842943536169121678994878095348461172641804229770023380182033254799844751471398417565049<155>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=917617588
Step 1 took 5062ms
Step 2 took 2744ms
********** Factor found in step 2: 125669096583241408186906869057179
Found probable prime factor of 33 digits: 125669096583241408186906869057179
Composite cofactor

144987447405302363879869166534287037008395733016689771967060036527301930540306392811050107567344083099868840946929959776393093004924290524158647447271087166249554587780264758707<177>

364403189067933798492880814404787142593175024389361517778950902603431050486125629318491523516522623301376030626814524699892281952575966191561677608845276861174121749903549198669680713<183>

18265870276773603281254806345335248127767<41>

19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4169596167
Step 1 took 15512ms
Step 2 took 6400ms
********** Factor found in step 2: 18265870276773603281254806345335248127767
Found probable prime factor of 41 digits: 18265870276773603281254806345335248127767
Composite cofactor 

19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439<143>

5376180547332084837270096151276372620318477546693599807267392592709503<70>
3710803477579406426233376399417059097114340430407222020084953417157433313<73>

Number: 84447_209
N = 19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439 (143 digits)
Divisors found:
r1=5376180547332084837270096151276372620318477546693599807267392592709503 (pp70)
r2=3710803477579406426233376399417059097114340430407222020084953417157433313 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 454.23 hours.
Factorization parameters were as follows:
# Murphy_E = 1.61292424e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 19949949471134657045515932755724535536591401615056806453327921895702778219305642517621456883964980749183676120792483131841488660963667703873439
Y0: -3413229694969585134469675414
Y1: 13525426927995886313
c0: 907699290032312457979904729925
c1: -431294667160947836347280645
c2: 30135500259172228049958
c3: -5667598878426147
c4: 41404867505
c5: 42900
skew: 422007.11275
type: gnfs
# selected mechanically
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23142493
Relations: 4286694 relations
Pruned matrix : 2642429 x 2642654
Polynomial selection time: 0.00 hours.
Total sieving time: 445.87 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.71 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000
total time: 454.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

4093604633559662588874466391249158573860273631197509249967134001707670009725401668362534083190324900139498906458456293377919894857044050833798650238092076077602698300749631596480179965004419751<193>

1098030299815479062224309849131229620705773101<46>
3728134491596071129747211227116397000149088083809077600550942537693673964032469543082141030766695387071061738236821325520183462972030341808580031651<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2284974656
Step 1 took 86981ms
Step 2 took 30185ms
********** Factor found in step 2: 1098030299815479062224309849131229620705773101
Found probable prime factor of 46 digits: 1098030299815479062224309849131229620705773101

77791913387302496823582168169125351739718903015286213338385713392277084969138617308107053546323497876536658978573752824179118746592125636396707232078764721735766869099649700966861361401474545718256318827291<206>

42880030942767687244834376936082701<35>

1814175775459023623315433965429354372804842833172208177449978613265132387204636400688766195286549320414009287024784506941560796344665490390494755437264425561249183136251591<172>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3402434132
Step 1 took 5802ms
Step 2 took 3044ms
********** Factor found in step 2: 42880030942767687244834376936082701
Found probable prime factor of 35 digits: 42880030942767687244834376936082701
Composite cofactor 

6602298164939492458888025344488620662884299330155937159522081388640287793308147273970245721435102123639992647372227705452262237334624919399848428540320181756513019160710027808475923011495498073407705867<202>

2106024138895793220137472767296860352992761<43>
3134958447532863906888131173153965751666871468483633714547336175095773766093438018570989009523454632322593150074533140979071116198881192578401424039888604570147<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2779891764
Step 1 took 98118ms
Step 2 took 33822ms
********** Factor found in step 2: 2106024138895793220137472767296860352992761
Found probable prime factor of 43 digits: 2106024138895793220137472767296860352992761

35110755431977256176991695646766809399371984933313762414338581282710381884133392750879630514787598390376983922430027835573071868738088498348754135466468063576633849909970143985251<179>

159666730054473892128034317204920684132340991359917932081006180525055724867476085283270897761436983430921924430356049167600781009768746358918939850533377975062138688373177287321<177>