4421175101803374054682955206515415939499709133216986620127981384525887143688190808609656777196044211751<103>

34629650125721177666774498280815957006484758009<47>
127670221493792846751421756697560481419687506531417316639<57>

N=4421175101803374054682955206515415939499709133216986620127981384525887143688190808609656777196044211751
  ( 103 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=34629650125721177666774498280815957006484758009 (pp47)
 r2=127670221493792846751421756697560481419687506531417316639 (pp57)
Version: Msieve-1.40
Total time: 0.37 hours.
Scaled time: 0.69 units (timescale=1.855).
Factorization parameters were as follows:
n: 4421175101803374054682955206515415939499709133216986620127981384525887143688190808609656777196044211751
m: 100000000000000000000000000
deg: 4
c4: 76
c0: -31
skew: 0.80
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33398 x 33623
Total sieving time: 0.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.37 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

39640874106080880826648631445947184603436928149258589872679568036378363403572982514184583143408559189<101>

763914471086885710481988605484977375731<39>
51891770095257467002158906462583346406555154932827173244871319<62>

SNFS difficulty: 109 digits.
Divisors found:
 r1=763914471086885710481988605484977375731 (pp39)
 r2=51891770095257467002158906462583346406555154932827173244871319 (pp62)
Version: Msieve v. 1.44 SVN157
Total time: 0.55 hours.
Scaled time: 1.32 units (timescale=2.400).
Factorization parameters were as follows:
name: 84441_108
n: 39640874106080880826648631445947184603436928149258589872679568036378363403572982514184583143408559189
m: 2000000000000000000000
deg: 5
c5: 2375
c0: -31
skew: 0.42
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 435001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 48019 x 48244
Total sieving time: 0.51 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.55 hours.

606031033964396162584154558537662519714868030461839347263651463585419310530528594522869779058428109695635229<108>

510266010927739019621338362327017203<36>
1187676664692093008616370860864028675230324876917477153106550469959898543<73>

Number: 84441_117
N=606031033964396162584154558537662519714868030461839347263651463585419310530528594522869779058428109695635229
  ( 108 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=510266010927739019621338362327017203 (pp36)
 r2=1187676664692093008616370860864028675230324876917477153106550469959898543 (pp73)
Version: Msieve-1.40
Total time: 1.64 hours.
Scaled time: 3.36 units (timescale=2.045).
Factorization parameters were as follows:
name: 84441_117
n: 606031033964396162584154558537662519714868030461839347263651463585419310530528594522869779058428109695635229
m: 100000000000000000000000
deg: 5
c5: 7600
c0: -31
skew: 0.33
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, 585001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70670 x 70896
Total sieving time: 1.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.64 hours.
 --------- CPU info (if available) ----------

24432533270564556338945340366229877836173727413057924863247456405997274083898891092470511649960815822666837<107>

6725469736102306975253327713084578089<37>
3632836698291982590634885840759260535734772573336463718305105442829133<70>

Number: qq3
N=24432533270564556338945340366229877836173727413057924863247456405997274083898891092470511649960815822666837
  ( 107 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=6725469736102306975253327713084578089 (pp37)
 r2=3632836698291982590634885840759260535734772573336463718305105442829133 (pp70)
Version: Msieve-1.40
Total time: 2.26 hours.
Scaled time: 4.37 units (timescale=1.934).
Factorization parameters were as follows:
n: 24432533270564556338945340366229877836173727413057924863247456405997274083898891092470511649960815822666837
m: 20000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
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 : 163326 x 163551
Total sieving time: 2.14 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: 2.26 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

30137694860150652619701942057588207540472961928845449132060937816333495088407688706141978541<92>

4065886375833711356092030945373537<34>
7412330811623064170587141126155528486018365155148582930893<58>

Number: 84443_133
N=30137694860150652619701942057588207540472961928845449132060937816333495088407688706141978541
  ( 92 digits)
Divisors found:
 r1=4065886375833711356092030945373537 (pp34)
 r2=7412330811623064170587141126155528486018365155148582930893 (pp58)
Version: Msieve-1.40
Total time: 3.63 hours.
Scaled time: 7.48 units (timescale=2.058).
Factorization parameters were as follows:
name: 84443_133
n:  30137694860150652619701942057588207540472961928845449132060937816333495088407688706141978541
m:  907082761357406093970
deg: 4
c4: 44516640
c3: -258452516664
c2: 104820968114257659
c1: 963127003829258084
c0: -150807827378283048436039
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.630
# E(F1,F2) = 1.056935e-04
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1263559911.
# 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, 830001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113184 x 113410
Polynomial selection time: 0.17 hours.
Total sieving time: 3.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 3.63 hours.
 --------- CPU info (if available) ----------

123691877024233842748563709454290968865452533242191950262845238676496915840697882590368308839086633139657894308546132187555946161483<132>

236651681097409679483063260218971840423701090579063789141390925773<66>
522674829313045340892022504599065876970248243894621151375088849271<66>

Number: 84441_134
N=123691877024233842748563709454290968865452533242191950262845238676496915840697882590368308839086633139657894308546132187555946161483
  ( 132 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=236651681097409679483063260218971840423701090579063789141390925773 (pp66)
 r2=522674829313045340892022504599065876970248243894621151375088849271 (pp66)
Version: Msieve-1.40
Total time: 3.80 hours.
Scaled time: 12.76 units (timescale=3.356).
Factorization parameters were as follows:
name: 84441_134
n: 123691877024233842748563709454290968865452533242191950262845238676496915840697882590368308839086633139657894308546132187555946161483
m: 200000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1320001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204020 x 204268
Total sieving time: 3.62 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 3.80 hours.
 --------- CPU info (if available) ----------

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

99489902682011958426045284657988635254402560048037895671451047391665630981925995412233<86>

227424746306670162398743930051<30>
437462959936009432584060410195112145006886289103343318083<57>

Thu Jan 14 15:40:14 2010  Msieve v. 1.42
Thu Jan 14 15:40:14 2010  random seeds: f71ed980 61ea80a7
Thu Jan 14 15:40:14 2010  factoring 99489902682011958426045284657988635254402560048037895671451047391665630981925995412233 (86 digits)
Thu Jan 14 15:40:15 2010  searching for 15-digit factors
Thu Jan 14 15:40:15 2010  commencing quadratic sieve (86-digit input)
Thu Jan 14 15:40:16 2010  using multiplier of 1
Thu Jan 14 15:40:16 2010  using 32kb Intel Core sieve core
Thu Jan 14 15:40:16 2010  sieve interval: 17 blocks of size 32768
Thu Jan 14 15:40:16 2010  processing polynomials in batches of 12
Thu Jan 14 15:40:16 2010  using a sieve bound of 1466203 (56000 primes)
Thu Jan 14 15:40:16 2010  using large prime bound of 117296240 (26 bits)
Thu Jan 14 15:40:16 2010  using double large prime bound of 334742824821760 (41-49 bits)
Thu Jan 14 15:40:16 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 15:40:16 2010  polynomial 'A' values have 11 factors
Thu Jan 14 16:18:47 2010  56109 relations (15930 full + 40179 combined from 587155 partial), need 56096
Thu Jan 14 16:18:48 2010  begin with 603085 relations
Thu Jan 14 16:18:48 2010  reduce to 133379 relations in 12 passes
Thu Jan 14 16:18:48 2010  attempting to read 133379 relations
Thu Jan 14 16:18:50 2010  recovered 133379 relations
Thu Jan 14 16:18:50 2010  recovered 111979 polynomials
Thu Jan 14 16:18:50 2010  attempting to build 56109 cycles
Thu Jan 14 16:18:50 2010  found 56109 cycles in 5 passes
Thu Jan 14 16:18:50 2010  distribution of cycle lengths:
Thu Jan 14 16:18:50 2010     length 1 : 15930
Thu Jan 14 16:18:50 2010     length 2 : 11197
Thu Jan 14 16:18:50 2010     length 3 : 9879
Thu Jan 14 16:18:50 2010     length 4 : 7257
Thu Jan 14 16:18:50 2010     length 5 : 4980
Thu Jan 14 16:18:50 2010     length 6 : 3133
Thu Jan 14 16:18:50 2010     length 7 : 1769
Thu Jan 14 16:18:50 2010     length 9+: 1964
Thu Jan 14 16:18:50 2010  largest cycle: 17 relations
Thu Jan 14 16:18:50 2010  matrix is 56000 x 56109 (12.2 MB) with weight 2978134 (53.08/col)
Thu Jan 14 16:18:50 2010  sparse part has weight 2978134 (53.08/col)
Thu Jan 14 16:18:51 2010  filtering completed in 3 passes
Thu Jan 14 16:18:51 2010  matrix is 51439 x 51502 (11.3 MB) with weight 2768431 (53.75/col)
Thu Jan 14 16:18:51 2010  sparse part has weight 2768431 (53.75/col)
Thu Jan 14 16:18:51 2010  saving the first 48 matrix rows for later
Thu Jan 14 16:18:51 2010  matrix is 51391 x 51502 (6.7 MB) with weight 2083917 (40.46/col)
Thu Jan 14 16:18:51 2010  sparse part has weight 1451596 (28.19/col)
Thu Jan 14 16:18:51 2010  matrix includes 64 packed rows
Thu Jan 14 16:18:51 2010  using block size 20600 for processor cache size 1024 kB
Thu Jan 14 16:18:52 2010  commencing Lanczos iteration
Thu Jan 14 16:18:52 2010  memory use: 7.4 MB
Thu Jan 14 16:19:06 2010  lanczos halted after 814 iterations (dim = 51391)
Thu Jan 14 16:19:07 2010  recovered 17 nontrivial dependencies
Thu Jan 14 16:19:07 2010  prp30 factor: 227424746306670162398743930051
Thu Jan 14 16:19:07 2010  prp57 factor: 437462959936009432584060410195112145006886289103343318083
Thu Jan 14 16:19:07 2010  elapsed time 00:38:53

3116207958472812447684354647146019229561352248797427108839586318455172204631373422343081982010744459084304570396433486886663<124>

5800335781040037161071267949460132289<37>
537246131277257970488431539307038167717246900124888605745265920290222607075537945389767<87>

Number: 84441_136
N=3116207958472812447684354647146019229561352248797427108839586318455172204631373422343081982010744459084304570396433486886663
  ( 124 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=5800335781040037161071267949460132289 (pp37)
 r2=537246131277257970488431539307038167717246900124888605745265920290222607075537945389767 (pp87)
Version: Msieve-1.40
Total time: 4.25 hours.
Scaled time: 14.25 units (timescale=3.356).
Factorization parameters were as follows:
name: 84441_136
n: 3116207958472812447684354647146019229561352248797427108839586318455172204631373422343081982010744459084304570396433486886663
m: 1000000000000000000000000000
deg: 5
c5: 760
c0: -31
skew: 0.53
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1445001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204993 x 205241
Total sieving time: 4.13 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 4.25 hours.
 --------- CPU info (if available) ----------

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

5168108227835091044002396155299038271703986123591327465312288287978936945148458087532070891111924802551014126011299583109993706271<130>

142774510261557243013415909668599557<36>
11205486380025059605367161066958973395160112987<47>
3230354679295790823447692648057178418053707656169<49>

Number: 84441_137
N=5168108227835091044002396155299038271703986123591327465312288287978936945148458087532070891111924802551014126011299583109993706271
  ( 130 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=142774510261557243013415909668599557 (pp36)
 r2=11205486380025059605367161066958973395160112987 (pp47)
 r3=3230354679295790823447692648057178418053707656169 (pp49)
Version: Msieve-1.40
Total time: 4.32 hours.
Scaled time: 14.45 units (timescale=3.344).
Factorization parameters were as follows:
name: 84441_137
n: 5168108227835091044002396155299038271703986123591327465312288287978936945148458087532070891111924802551014126011299583109993706271
m: 1000000000000000000000000000
deg: 5
c5: 7600
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1470001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228257 x 228505
Total sieving time: 4.16 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,75000
total time: 4.32 hours.
 --------- CPU info (if available) ----------

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

1755864658407419960055079595485402366483848813861320511403336426620618397848329543838982887077940986231031793538068500551679623<127>

4398346932879890781489292170793077535967310581<46>
399210131715948651155899830849008202983027850797990822239701047018042570926249483<81>

Number: 84441_139
N=1755864658407419960055079595485402366483848813861320511403336426620618397848329543838982887077940986231031793538068500551679623
  ( 127 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=4398346932879890781489292170793077535967310581 (pp46)
 r2=399210131715948651155899830849008202983027850797990822239701047018042570926249483 (pp81)
Version: Msieve-1.40
Total time: 5.79 hours.
Scaled time: 19.45 units (timescale=3.356).
Factorization parameters were as follows:
name: 84441_139
n: 1755864658407419960055079595485402366483848813861320511403336426620618397848329543838982887077940986231031793538068500551679623
m: 2000000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243241 x 243489
Total sieving time: 5.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 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: 5.79 hours.
 --------- CPU info (if available) ----------

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

8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<142>

2511755129266955589128353559<28>
1423240631186024646461504584207177947527<40>
2362193398015372588306742517880822649608072335099527828916914876172325100537<76>

N=8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 142 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2511755129266955589128353559 (pp28)
 r2=1423240631186024646461504584207177947527 (pp40)
 r3=2362193398015372588306742517880822649608072335099527828916914876172325100537 (pp76)
Version: Msieve-1.40
Total time: 5.89 hours.
Scaled time: 11.57 units (timescale=1.963).
Factorization parameters were as follows:
n: 8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 10000000000000000000000000000
deg: 5
c5: 760
c0: -31
skew: 0.53
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 276905 x 277131
Total sieving time: 5.66 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 5.89 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

21379115745031972953850999213076762704818242535910843952671446929597508192998415265425446856862824438473<104>

4209981873343669208203244824256572361<37>
5078196626070544874355316665557667809281618648300200891938472244993<67>

Number: 84441_145
N = 21379115745031972953850999213076762704818242535910843952671446929597508192998415265425446856862824438473 (104 digits)
Divisors found:
r1=4209981873343669208203244824256572361 (pp37)
r2=5078196626070544874355316665557667809281618648300200891938472244993 (pp67)
Version: Msieve v. 1.43
Total time: 6.21 hours.
Factorization parameters were as follows:
n: 21379115745031972953850999213076762704818242535910843952671446929597508192998415265425446856862824438473
Y0: -108224354555489377022
Y1: 26387161537
c0: -169307338673369683428759
c1: 296407608244336806840
c2: -15817692000828088
c3: -6240105553840
c4: 30253031
c5: 1440
skew: 18122.14  
type: gnfs
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1150000, 1850000)
Relations: 529114 relations
Pruned matrix : 292148 x 292373
Polynomial selection time: 0.00 hours.
Total sieving time: 5.87 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.22 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,103,5,59,2000,0.0009,0.35,200,15,15000,2000,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.21 hours.
 --------- CPU info (if available) ----------

GGNFS + msieve v1.43 w/factmsieve.py

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

33047019875863513103213648911517740871639080309260493245197764522629451155567779171369<86>

19593116855792228548482693713489<32>
1686664766973712265092146514929382762272725765096632921<55>

Thu Jan 14 16:32:28 2010  Msieve v. 1.42
Thu Jan 14 16:32:28 2010  random seeds: 40a009c4 f5e9e7dd
Thu Jan 14 16:32:28 2010  factoring 33047019875863513103213648911517740871639080309260493245197764522629451155567779171369 (86 digits)
Thu Jan 14 16:32:29 2010  searching for 15-digit factors
Thu Jan 14 16:32:30 2010  commencing quadratic sieve (86-digit input)
Thu Jan 14 16:32:30 2010  using multiplier of 1
Thu Jan 14 16:32:30 2010  using 32kb Intel Core sieve core
Thu Jan 14 16:32:30 2010  sieve interval: 16 blocks of size 32768
Thu Jan 14 16:32:30 2010  processing polynomials in batches of 13
Thu Jan 14 16:32:30 2010  using a sieve bound of 1460731 (55667 primes)
Thu Jan 14 16:32:30 2010  using large prime bound of 116858480 (26 bits)
Thu Jan 14 16:32:30 2010  using double large prime bound of 332497433144000 (41-49 bits)
Thu Jan 14 16:32:30 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 16:32:30 2010  polynomial 'A' values have 11 factors
Thu Jan 14 17:02:33 2010  55816 relations (16417 full + 39399 combined from 576626 partial), need 55763
Thu Jan 14 17:02:34 2010  begin with 593043 relations
Thu Jan 14 17:02:34 2010  reduce to 131039 relations in 10 passes
Thu Jan 14 17:02:34 2010  attempting to read 131039 relations
Thu Jan 14 17:02:36 2010  recovered 131039 relations
Thu Jan 14 17:02:36 2010  recovered 105736 polynomials
Thu Jan 14 17:02:36 2010  attempting to build 55816 cycles
Thu Jan 14 17:02:36 2010  found 55816 cycles in 5 passes
Thu Jan 14 17:02:36 2010  distribution of cycle lengths:
Thu Jan 14 17:02:36 2010     length 1 : 16417
Thu Jan 14 17:02:36 2010     length 2 : 11392
Thu Jan 14 17:02:36 2010     length 3 : 9874
Thu Jan 14 17:02:36 2010     length 4 : 7055
Thu Jan 14 17:02:36 2010     length 5 : 4726
Thu Jan 14 17:02:36 2010     length 6 : 2877
Thu Jan 14 17:02:36 2010     length 7 : 1648
Thu Jan 14 17:02:36 2010     length 9+: 1827
Thu Jan 14 17:02:36 2010  largest cycle: 16 relations
Thu Jan 14 17:02:37 2010  matrix is 55667 x 55816 (11.9 MB) with weight 2887563 (51.73/col)
Thu Jan 14 17:02:37 2010  sparse part has weight 2887563 (51.73/col)
Thu Jan 14 17:02:37 2010  filtering completed in 3 passes
Thu Jan 14 17:02:37 2010  matrix is 50412 x 50476 (10.8 MB) with weight 2639194 (52.29/col)
Thu Jan 14 17:02:37 2010  sparse part has weight 2639194 (52.29/col)
Thu Jan 14 17:02:37 2010  saving the first 48 matrix rows for later
Thu Jan 14 17:02:37 2010  matrix is 50364 x 50476 (6.0 MB) with weight 1967104 (38.97/col)
Thu Jan 14 17:02:37 2010  sparse part has weight 1274351 (25.25/col)
Thu Jan 14 17:02:37 2010  matrix includes 64 packed rows
Thu Jan 14 17:02:37 2010  using block size 20190 for processor cache size 1024 kB
Thu Jan 14 17:02:38 2010  commencing Lanczos iteration
Thu Jan 14 17:02:38 2010  memory use: 6.9 MB
Thu Jan 14 17:02:51 2010  lanczos halted after 798 iterations (dim = 50357)
Thu Jan 14 17:02:51 2010  recovered 12 nontrivial dependencies
Thu Jan 14 17:02:51 2010  prp32 factor: 19593116855792228548482693713489
Thu Jan 14 17:02:51 2010  prp55 factor: 1686664766973712265092146514929382762272725765096632921
Thu Jan 14 17:02:51 2010  elapsed time 00:30:23

331901005911992505972699366393120753363880713658550703285837188303436678816250561512118989474792653482479730710301038693527<123>

16082289199900813559337788029699995670844157430124317042273289<62>
20637671775858842482431033276691114564634404377618158110038943<62>

Number: 84441_148
N=331901005911992505972699366393120753363880713658550703285837188303436678816250561512118989474792653482479730710301038693527
  ( 123 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=16082289199900813559337788029699995670844157430124317042273289 (pp62)
 r2=20637671775858842482431033276691114564634404377618158110038943 (pp62)
Version: Msieve v. 1.42
Total time: 0.57 hours.
Scaled time: 0.45 units (timescale=0.796).
Factorization parameters were as follows:
name: 84441_148
n: 331901005911992505972699366393120753363880713658550703285837188303436678816250561512118989474792653482479730710301038693527
m: 200000000000000000000000000000
deg: 5
c5: 2375
c0: -31
skew: 0.42
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 384431 x 384657
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.57 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: 12 hours 30 min.

25405843392195916929505532227387489382328669421139296772752979623260801830569624249502673225356566972433<104>

2281471000468785266644900773208337712290233609<46>
11135729267203331147182757591400982545482525010783859752137<59>

Number: 84441_150
N=25405843392195916929505532227387489382328669421139296772752979623260801830569624249502673225356566972433
  ( 104 digits)
Divisors found:
 r1=2281471000468785266644900773208337712290233609 (pp46)
 r2=11135729267203331147182757591400982545482525010783859752137 (pp59)
Version: Msieve-1.40
Total time: 6.38 hours.
Scaled time: 21.42 units (timescale=3.356).
Factorization parameters were as follows:
name: 84441_150
n: 25405843392195916929505532227387489382328669421139296772752979623260801830569624249502673225356566972433
skew: 5270.23
# norm 2.33e+14
c5: 439680
c4: 45092056
c3: -43577917438686
c2: -35065858661815271
c1: 682854491399923289886
c0: 1229731517729598360798735
# alpha -6.08
Y1: 165540725383
Y0: -35674618701619721026
# Murphy_E 2.22e-09
# M 1298935150248974481724684565585147776218436548929805735707388455405393591822274079835514285792776190975
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 268895 x 269143
Polynomial selection time: 0.78 hours.
Total sieving time: 5.32 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.38 hours.
 --------- CPU info (if available) ----------

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

29709166118659123486702286759088381984635867879855545152133760477970001426043125219467381808609461734247439862879<113>

2834062414660073080302384062324175146399483<43>
10482890554907747217895802455047038819279122285409568390247463901631213<71>

Number: 84441_153
N=29709166118659123486702286759088381984635867879855545152133760477970001426043125219467381808609461734247439862879
  ( 113 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=2834062414660073080302384062324175146399483 (pp43)
 r2=10482890554907747217895802455047038819279122285409568390247463901631213 (pp71)
Version: Msieve-1.40
Total time: 20.38 hours.
Scaled time: 64.05 units (timescale=3.143).
Factorization parameters were as follows:
name: 84441_153
n: 29709166118659123486702286759088381984635867879855545152133760477970001426043125219467381808609461734247439862879
m: 2000000000000000000000000000000
deg: 5
c5: 2375
c0: -31
skew: 0.42
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458424 x 458672
Total sieving time: 19.81 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 20.38 hours.
 --------- CPU info (if available) ----------

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

1340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007<154>

50239842442722414672271475847586668713<38>
60321742124003949161856830728525000497149079679746731<53>
442291292052867237856107190858860679026450451141932175024937069<63>

Number: i1
N=1340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007
  ( 154 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=50239842442722414672271475847586668713 (pp38)
 r2=60321742124003949161856830728525000497149079679746731 (pp53)
 r3=442291292052867237856107190858860679026450451141932175024937069 (pp63)
Version: Msieve-1.40
Total time: 18.29 hours.
Scaled time: 35.15 units (timescale=1.922).
Factorization parameters were as follows:
n: 1340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007054673721340388007
m: 2000000000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 513058 x 513284
Total sieving time: 17.77 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 18.29 hours.
 --------- CPU info (if available) ----------

74730070903966435408219691772988901956535826506650279825028750380222720177085707063548910349<92>

63366910853333265078273030897011837<35>
1179323244538998044295577392810600677821634532946811149777<58>

Fri May 07 17:59:14 2010  
Fri May 07 17:59:14 2010  
Fri May 07 17:59:14 2010  Msieve v. 1.42
Fri May 07 17:59:14 2010  random seeds: cd8ff5a0 2d5da96a
Fri May 07 17:59:14 2010  factoring 776540036087216868784892150460535242739408448105330876676907 (60 digits)
Fri May 07 17:59:15 2010  searching for 15-digit factors
Fri May 07 17:59:15 2010  commencing quadratic sieve (60-digit input)
Fri May 07 17:59:15 2010  using multiplier of 43
Fri May 07 17:59:15 2010  using 32kb Intel Core sieve core
Fri May 07 17:59:15 2010  sieve interval: 4 blocks of size 32768
Fri May 07 17:59:15 2010  processing polynomials in batches of 51
Fri May 07 17:59:15 2010  using a sieve bound of 57751 (2941 primes)
Fri May 07 17:59:15 2010  using large prime bound of 2829799 (21 bits)
Fri May 07 17:59:15 2010  using trial factoring cutoff of 21 bits
Fri May 07 17:59:15 2010  polynomial 'A' values have 8 factors
Fri May 07 17:59:24 2010  3162 relations (1435 full + 1727 combined from 13802 partial), need 3037
Fri May 07 17:59:24 2010  begin with 15237 relations
Fri May 07 17:59:24 2010  reduce to 4650 relations in 2 passes
Fri May 07 17:59:24 2010  attempting to read 4650 relations
Fri May 07 17:59:24 2010  recovered 4650 relations
Fri May 07 17:59:24 2010  recovered 4162 polynomials
Fri May 07 17:59:24 2010  attempting to build 3162 cycles
Fri May 07 17:59:24 2010  found 3162 cycles in 1 passes
Fri May 07 17:59:24 2010  distribution of cycle lengths:
Fri May 07 17:59:24 2010     length 1 : 1435
Fri May 07 17:59:24 2010     length 2 : 1727
Fri May 07 17:59:24 2010  largest cycle: 2 relations
Fri May 07 17:59:24 2010  matrix is 2941 x 3162 (0.4 MB) with weight 85972 (27.19/col)
Fri May 07 17:59:24 2010  sparse part has weight 85972 (27.19/col)
Fri May 07 17:59:24 2010  filtering completed in 3 passes
Fri May 07 17:59:24 2010  matrix is 2797 x 2861 (0.3 MB) with weight 75958 (26.55/col)
Fri May 07 17:59:24 2010  sparse part has weight 75958 (26.55/col)
Fri May 07 17:59:24 2010  commencing Lanczos iteration
Fri May 07 17:59:24 2010  memory use: 0.5 MB
Fri May 07 17:59:24 2010  lanczos halted after 46 iterations (dim = 2794)
Fri May 07 17:59:24 2010  recovered 63 nontrivial dependencies
Fri May 07 17:59:24 2010  prp24 factor: 700262520704097572483137
Fri May 07 17:59:24 2010  prp37 factor: 1108927028261378375819851927844655211
Fri May 07 17:59:24 2010  elapsed time 00:00:10
Fri May 07 18:09:35 2010  
Fri May 07 18:09:35 2010  
Fri May 07 18:09:35 2010  Msieve v. 1.42
Fri May 07 18:09:35 2010  random seeds: f43936c0 968b8b60
Fri May 07 18:09:35 2010  factoring 74730070903966435408219691772988901956535826506650279825028750380222720177085707063548910349 (92 digits)
Fri May 07 18:09:36 2010  searching for 15-digit factors
Fri May 07 18:09:37 2010  searching for 20-digit factors
Fri May 07 18:09:46 2010  searching for 25-digit factors
Fri May 07 18:11:40 2010  commencing quadratic sieve (92-digit input)
Fri May 07 18:11:40 2010  using multiplier of 5
Fri May 07 18:11:40 2010  using 32kb Intel Core sieve core
Fri May 07 18:11:40 2010  sieve interval: 36 blocks of size 32768
Fri May 07 18:11:40 2010  processing polynomials in batches of 6
Fri May 07 18:11:40 2010  using a sieve bound of 1855349 (69396 primes)
Fri May 07 18:11:40 2010  using large prime bound of 209654437 (27 bits)
Fri May 07 18:11:40 2010  using double large prime bound of 952154221467417 (42-50 bits)
Fri May 07 18:11:40 2010  using trial factoring cutoff of 50 bits
Fri May 07 18:11:40 2010  polynomial 'A' values have 12 factors
Fri May 07 20:21:24 2010  69617 relations (18048 full + 51569 combined from 887963 partial), need 69492
Fri May 07 20:21:25 2010  begin with 906011 relations
Fri May 07 20:21:26 2010  reduce to 174466 relations in 10 passes
Fri May 07 20:21:26 2010  attempting to read 174466 relations
Fri May 07 20:21:29 2010  recovered 174466 relations
Fri May 07 20:21:29 2010  recovered 153604 polynomials
Fri May 07 20:21:29 2010  attempting to build 69617 cycles
Fri May 07 20:21:29 2010  found 69617 cycles in 6 passes
Fri May 07 20:21:29 2010  distribution of cycle lengths:
Fri May 07 20:21:29 2010     length 1 : 18048
Fri May 07 20:21:29 2010     length 2 : 12930
Fri May 07 20:21:29 2010     length 3 : 12142
Fri May 07 20:21:29 2010     length 4 : 9411
Fri May 07 20:21:29 2010     length 5 : 6592
Fri May 07 20:21:29 2010     length 6 : 4364
Fri May 07 20:21:29 2010     length 7 : 2692
Fri May 07 20:21:29 2010     length 9+: 3438
Fri May 07 20:21:29 2010  largest cycle: 19 relations
Fri May 07 20:21:30 2010  matrix is 69396 x 69617 (16.7 MB) with weight 4097065 (58.85/col)
Fri May 07 20:21:30 2010  sparse part has weight 4097065 (58.85/col)
Fri May 07 20:21:31 2010  filtering completed in 3 passes
Fri May 07 20:21:31 2010  matrix is 65358 x 65422 (15.8 MB) with weight 3872292 (59.19/col)
Fri May 07 20:21:31 2010  sparse part has weight 3872292 (59.19/col)
Fri May 07 20:21:31 2010  saving the first 48 matrix rows for later
Fri May 07 20:21:31 2010  matrix is 65310 x 65422 (8.7 MB) with weight 2901487 (44.35/col)
Fri May 07 20:21:31 2010  sparse part has weight 1894432 (28.96/col)
Fri May 07 20:21:31 2010  matrix includes 64 packed rows
Fri May 07 20:21:31 2010  using block size 26168 for processor cache size 4096 kB
Fri May 07 20:21:31 2010  commencing Lanczos iteration
Fri May 07 20:21:31 2010  memory use: 9.8 MB
Fri May 07 20:22:00 2010  lanczos halted after 1035 iterations (dim = 65308)
Fri May 07 20:22:00 2010  recovered 16 nontrivial dependencies
Fri May 07 20:22:00 2010  prp35 factor: 63366910853333265078273030897011837
Fri May 07 20:22:00 2010  prp58 factor: 1179323244538998044295577392810600677821634532946811149777
Fri May 07 20:22:00 2010  elapsed time 02:12:25

msieve v. 1.42

102852984818789785763833703401662167995418037644448244783880745031204713865595054106364506068677327293039120079202392950559408616048375971873<141>

25319176609525667524194829863477024264725507<44>
4062256304973759802464882334990272334472524230123430899989483829698259701009286503665963103075339<97>

Number: i2
N=102852984818789785763833703401662167995418037644448244783880745031204713865595054106364506068677327293039120079202392950559408616048375971873
  ( 141 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=25319176609525667524194829863477024264725507 (pp44)
 r2=4062256304973759802464882334990272334472524230123430899989483829698259701009286503665963103075339 (pp97)
Version: Msieve-1.40
Total time: 21.91 hours.
Scaled time: 41.12 units (timescale=1.877).
Factorization parameters were as follows:
n: 102852984818789785763833703401662167995418037644448244783880745031204713865595054106364506068677327293039120079202392950559408616048375971873
m: 10000000000000000000000000000000
deg: 5
c5: 760
c0: -31
skew: 0.53
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 535859 x 536087
Total sieving time: 21.24 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 21.91 hours.
 --------- CPU info (if available) ----------

20401806334832076394632711131655756848480128552864367365167070091955052756442933842624012152232299041418138730927801980358414627613307575529441641<146>

72732776405299519480711238162586877<35>
1428081157953175033974049357879936027<37>
196419936129269114668144388639715197887687540612931085819394748558178655079<75>

Number: 84441_160
N=20401806334832076394632711131655756848480128552864367365167070091955052756442933842624012152232299041418138730927801980358414627613307575529441641
  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=72732776405299519480711238162586877 (pp35)
 r2=1428081157953175033974049357879936027 (pp37)
 r3=196419936129269114668144388639715197887687540612931085819394748558178655079 (pp75)
Version: Msieve-1.40
Total time: 31.21 hours.
Scaled time: 92.64 units (timescale=2.968).
Factorization parameters were as follows:
name: 84441_160
n: 20401806334832076394632711131655756848480128552864367365167070091955052756442933842624012152232299041418138730927801980358414627613307575529441641
m: 100000000000000000000000000000000
deg: 5
c5: 76
c0: -31
skew: 0.84
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 696957 x 697205
Total sieving time: 29.86 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 31.21 hours.
 --------- CPU info (if available) ----------

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

11866090721992188577453227950366625059244477241325368953121779917742387338382487781342037831357005087824809345040377377901683179527877342722521<143>

109750525306163816537225745882055822458251<42>
1479537518504095596933284882927370401472769<43>
73076051670545381396333682228679875615600353612970988703659<59>

Number: i6
N=11866090721992188577453227950366625059244477241325368953121779917742387338382487781342037831357005087824809345040377377901683179527877342722521
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=109750525306163816537225745882055822458251 (pp42)
 r2=1479537518504095596933284882927370401472769 (pp43)
 r3=73076051670545381396333682228679875615600353612970988703659 (pp59)
Version: Msieve-1.40
Total time: 42.76 hours.
Scaled time: 81.00 units (timescale=1.894).
Factorization parameters were as follows:
n: 11866090721992188577453227950366625059244477241325368953121779917742387338382487781342037831357005087824809345040377377901683179527877342722521
m: 200000000000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 774621 x 774847
Total sieving time: 41.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.55 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: 42.76 hours.
 --------- CPU info (if available) ----------

13459149507819130389676407874886212202173510416951496689757547794188413390867280221701492147497306724605229720082672647971712673<128>

98182225575164097697002699679<29>
137083361361730216877695370792569795408090274277247579968069547491241612335173374148876048199511487<99>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2854621136
Step 1 took 5564ms
Step 2 took 3468ms
********** Factor found in step 2: 98182225575164097697002699679
Found probable prime factor of 29 digits: 98182225575164097697002699679
Probable prime cofactor has 99 digits

8387281733762668954722167430742258782008984473785499623780692794916446540537007759091383547742441376835835328428739667179517144797165351187661650259<148>

14760567574882629893794319240181591722683418909564911579757199269<65>
568222169724348235378146462740208909298286889131775183106553801319862063809652130711<84>

Mon May 10 21:11:34 2010  
Mon May 10 21:11:34 2010  
Mon May 10 21:11:34 2010  Msieve v. 1.42
Mon May 10 21:11:34 2010  random seeds: 9b0fc5d4 d30b4940
Mon May 10 21:11:34 2010  factoring 8387281733762668954722167430742258782008984473785499623780692794916446540537007759091383547742441376835835328428739667179517144797165351187661650259 (148 digits)
Mon May 10 21:11:36 2010  searching for 15-digit factors
Mon May 10 21:11:37 2010  commencing number field sieve (148-digit input)
Mon May 10 21:11:37 2010  R0: -2000000000000000000000000000000000
Mon May 10 21:11:37 2010  R1:  1
Mon May 10 21:11:37 2010  A0: -31
Mon May 10 21:11:37 2010  A1:  0
Mon May 10 21:11:37 2010  A2:  0
Mon May 10 21:11:37 2010  A3:  0
Mon May 10 21:11:37 2010  A4:  0
Mon May 10 21:11:37 2010  A5:  23750
Mon May 10 21:11:37 2010  skew 0.26, size 3.411351e-012, alpha 0.051307, combined = 1.779699e-010
Mon May 10 21:11:37 2010  
Mon May 10 21:11:37 2010  commencing relation filtering
Mon May 10 21:11:37 2010  estimated available RAM is 4096.0 MB
Mon May 10 21:11:38 2010  commencing duplicate removal, pass 1
Mon May 10 21:13:18 2010  found 1379247 hash collisions in 11222040 relations
Mon May 10 21:13:38 2010  added 600 free relations
Mon May 10 21:13:38 2010  commencing duplicate removal, pass 2
Mon May 10 21:13:58 2010  found 1136862 duplicates and 10085777 unique relations
Mon May 10 21:13:58 2010  memory use: 49.3 MB
Mon May 10 21:13:58 2010  reading ideals above 720000
Mon May 10 21:13:58 2010  commencing singleton removal, initial pass
Mon May 10 21:15:49 2010  memory use: 266.4 MB
Mon May 10 21:15:49 2010  reading all ideals from disk
Mon May 10 21:15:49 2010  memory use: 296.3 MB
Mon May 10 21:15:51 2010  commencing in-memory singleton removal
Mon May 10 21:15:53 2010  begin with 10085777 relations and 11052962 unique ideals
Mon May 10 21:16:10 2010  reduce to 4192595 relations and 3971950 ideals in 18 passes
Mon May 10 21:16:10 2010  max relations containing the same ideal: 70
Mon May 10 21:16:14 2010  removing 441078 relations and 398124 ideals in 42954 cliques
Mon May 10 21:16:14 2010  commencing in-memory singleton removal
Mon May 10 21:16:15 2010  begin with 3751517 relations and 3971950 unique ideals
Mon May 10 21:16:20 2010  reduce to 3714181 relations and 3535942 ideals in 8 passes
Mon May 10 21:16:20 2010  max relations containing the same ideal: 62
Mon May 10 21:16:24 2010  removing 324003 relations and 281049 ideals in 42954 cliques
Mon May 10 21:16:24 2010  commencing in-memory singleton removal
Mon May 10 21:16:24 2010  begin with 3390178 relations and 3535942 unique ideals
Mon May 10 21:16:31 2010  reduce to 3367216 relations and 3231656 ideals in 11 passes
Mon May 10 21:16:31 2010  max relations containing the same ideal: 58
Mon May 10 21:16:34 2010  relations with 0 large ideals: 2912
Mon May 10 21:16:34 2010  relations with 1 large ideals: 2269
Mon May 10 21:16:34 2010  relations with 2 large ideals: 32358
Mon May 10 21:16:34 2010  relations with 3 large ideals: 182674
Mon May 10 21:16:34 2010  relations with 4 large ideals: 546549
Mon May 10 21:16:34 2010  relations with 5 large ideals: 928278
Mon May 10 21:16:34 2010  relations with 6 large ideals: 951248
Mon May 10 21:16:34 2010  relations with 7+ large ideals: 720928
Mon May 10 21:16:34 2010  commencing 2-way merge
Mon May 10 21:16:39 2010  reduce to 1995403 relation sets and 1859843 unique ideals
Mon May 10 21:16:39 2010  commencing full merge
Mon May 10 21:17:29 2010  memory use: 187.0 MB
Mon May 10 21:17:29 2010  found 992940 cycles, need 976043
Mon May 10 21:17:29 2010  weight of 976043 cycles is about 68323951 (70.00/cycle)
Mon May 10 21:17:29 2010  distribution of cycle lengths:
Mon May 10 21:17:29 2010  1 relations: 129946
Mon May 10 21:17:29 2010  2 relations: 116273
Mon May 10 21:17:29 2010  3 relations: 111105
Mon May 10 21:17:29 2010  4 relations: 98052
Mon May 10 21:17:29 2010  5 relations: 87935
Mon May 10 21:17:29 2010  6 relations: 74548
Mon May 10 21:17:29 2010  7 relations: 64685
Mon May 10 21:17:29 2010  8 relations: 55224
Mon May 10 21:17:29 2010  9 relations: 46442
Mon May 10 21:17:29 2010  10+ relations: 191833
Mon May 10 21:17:29 2010  heaviest cycle: 22 relations
Mon May 10 21:17:30 2010  commencing cycle optimization
Mon May 10 21:17:32 2010  start with 5779870 relations
Mon May 10 21:17:47 2010  pruned 131894 relations
Mon May 10 21:17:47 2010  memory use: 153.1 MB
Mon May 10 21:17:47 2010  distribution of cycle lengths:
Mon May 10 21:17:47 2010  1 relations: 129946
Mon May 10 21:17:47 2010  2 relations: 118761
Mon May 10 21:17:47 2010  3 relations: 114647
Mon May 10 21:17:47 2010  4 relations: 100278
Mon May 10 21:17:47 2010  5 relations: 89851
Mon May 10 21:17:47 2010  6 relations: 75233
Mon May 10 21:17:47 2010  7 relations: 65201
Mon May 10 21:17:47 2010  8 relations: 55114
Mon May 10 21:17:47 2010  9 relations: 46094
Mon May 10 21:17:47 2010  10+ relations: 180918
Mon May 10 21:17:47 2010  heaviest cycle: 22 relations
Mon May 10 21:17:50 2010  RelProcTime: 373
Mon May 10 21:17:50 2010  
Mon May 10 21:17:50 2010  commencing linear algebra
Mon May 10 21:17:50 2010  read 976043 cycles
Mon May 10 21:17:53 2010  cycles contain 3234708 unique relations
Mon May 10 21:19:36 2010  read 3234708 relations
Mon May 10 21:19:42 2010  using 20 quadratic characters above 134216882
Mon May 10 21:19:58 2010  building initial matrix
Mon May 10 21:20:38 2010  memory use: 349.4 MB
Mon May 10 21:20:40 2010  read 976043 cycles
Mon May 10 21:21:33 2010  matrix is 975860 x 976043 (277.0 MB) with weight 86636054 (88.76/col)
Mon May 10 21:21:33 2010  sparse part has weight 65776723 (67.39/col)
Mon May 10 21:21:49 2010  filtering completed in 2 passes
Mon May 10 21:21:50 2010  matrix is 973285 x 973468 (276.8 MB) with weight 86538972 (88.90/col)
Mon May 10 21:21:50 2010  sparse part has weight 65737033 (67.53/col)
Mon May 10 21:21:56 2010  read 973468 cycles
Mon May 10 21:25:24 2010  matrix is 973285 x 973468 (276.8 MB) with weight 86538972 (88.90/col)
Mon May 10 21:25:24 2010  sparse part has weight 65737033 (67.53/col)
Mon May 10 21:25:25 2010  saving the first 48 matrix rows for later
Mon May 10 21:25:25 2010  matrix is 973237 x 973468 (261.4 MB) with weight 68969458 (70.85/col)
Mon May 10 21:25:25 2010  sparse part has weight 62692712 (64.40/col)
Mon May 10 21:25:25 2010  matrix includes 64 packed rows
Mon May 10 21:25:25 2010  using block size 65536 for processor cache size 6144 kB
Mon May 10 21:25:32 2010  commencing Lanczos iteration
Mon May 10 21:25:32 2010  memory use: 270.6 MB
Tue May 11 00:07:14 2010  lanczos halted after 15391 iterations (dim = 973237)
Tue May 11 00:07:17 2010  recovered 39 nontrivial dependencies
Tue May 11 00:07:19 2010  BLanczosTime: 10169
Tue May 11 00:07:19 2010  
Tue May 11 00:07:19 2010  commencing square root phase
Tue May 11 00:07:19 2010  reading relations for dependency 1
Tue May 11 00:07:19 2010  read 486756 cycles
Tue May 11 00:07:20 2010  cycles contain 1980234 unique relations
Tue May 11 00:09:22 2010  read 1980234 relations
Tue May 11 00:09:34 2010  multiplying 1616114 relations
Tue May 11 00:12:33 2010  multiply complete, coefficients have about 57.28 million bits
Tue May 11 00:12:34 2010  initial square root is modulo 167099731
Tue May 11 00:17:51 2010  sqrtTime: 632
Tue May 11 00:17:51 2010  prp65 factor: 14760567574882629893794319240181591722683418909564911579757199269
Tue May 11 00:17:51 2010  prp84 factor: 568222169724348235378146462740208909298286889131775183106553801319862063809652130711
Tue May 11 00:17:51 2010  elapsed time 03:06:17

49750236789306703734583796980895963392292704735137943009464453672084184434582005516517445362453383940055348745464342708651163947<128>

1493058418481249969663898693841459749656309<43>
33321024933447019014223465626235343186361053773086103981605739070510996271180315386783<86>

Number: i5
N=49750236789306703734583796980895963392292704735137943009464453672084184434582005516517445362453383940055348745464342708651163947
  ( 128 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1493058418481249969663898693841459749656309 (pp43)
 r2=33321024933447019014223465626235343186361053773086103981605739070510996271180315386783 (pp86)
Version: Msieve-1.40
Total time: 65.35 hours.
Scaled time: 121.94 units (timescale=1.866).
Factorization parameters were as follows:
n: 49750236789306703734583796980895963392292704735137943009464453672084184434582005516517445362453383940055348745464342708651163947
m: 10000000000000000000000000000000000
deg: 5
c5: 76
c0: -31
skew: 0.84
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, 6050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 954671 x 954902
Total sieving time: 63.67 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 65.35 hours.
 --------- CPU info (if available) ----------

8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<172>

150946350233005467715156937277866388450021909242016841536371<60>
55943349616664053827476391627500797288329464097049980127079714395269860883365705702144350593125120278613980975171<113>

Number: i3
N=8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=150946350233005467715156937277866388450021909242016841536371 (pp60)
 r2=55943349616664053827476391627500797288329464097049980127079714395269860883365705702144350593125120278613980975171 (pp113)
Version: Msieve-1.40
Total time: 69.65 hours.
Scaled time: 134.71 units (timescale=1.934).
Factorization parameters were as follows:
n: 8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 10000000000000000000000000000000000
deg: 5
c5: 760
c0: -31
skew: 0.53
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1122073 x 1122321
Total sieving time: 67.88 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 69.65 hours.
 --------- CPU info (if available) ----------

844444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<177>

19733895970299859276333433005360194863225111039<47>
42791572719110315367478981962951852173242864930221384603880961199748054823469784019374562333925911070273335021268621424483823257319<131>

Number: 84441_176
N=844444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=19733895970299859276333433005360194863225111039 (pp47)
 r2=42791572719110315367478981962951852173242864930221384603880961199748054823469784019374562333925911070273335021268621424483823257319 (pp131)
Version: Msieve-1.40
Total time: 128.28 hours.
Scaled time: 318.79 units (timescale=2.485).
Factorization parameters were as follows:
name: 84441_176
n: 844444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 100000000000000000000000000000000000
deg: 5
c5: 760
c0: -31
skew: 0.53
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 8350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1398976 x 1399224
Total sieving time: 123.79 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 4.14 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 128.28 hours.
 --------- CPU info (if available) ----------

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

107631464268907609109124823982253158601489232099641802722949299137520379186232161430359210507516979213163234969214882417394623686347221285753793<144>

1489776728243191304632322684110772194199025060916873<52>
72246707998876619540997123174922710522183154228941849457904379677591733275081858396167794041<92>

Number: 84441_178
N=107631464268907609109124823982253158601489232099641802722949299137520379186232161430359210507516979213163234969214882417394623686347221285753793
  ( 144 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=1489776728243191304632322684110772194199025060916873 (pp52)
 r2=72246707998876619540997123174922710522183154228941849457904379677591733275081858396167794041 (pp92)
Version: Msieve-1.40
Total time: 161.37 hours.
Scaled time: 341.47 units (timescale=2.116).
Factorization parameters were as follows:
name: 84441_178
n: 107631464268907609109124823982253158601489232099641802722949299137520379186232161430359210507516979213163234969214882417394623686347221285753793
m: 200000000000000000000000000000000000
deg: 5
c5: 2375
c0: -31
skew: 0.42
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 9600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1470626 x 1470874
Total sieving time: 155.06 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.58 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 161.37 hours.
 --------- CPU info (if available) ----------

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

350599751454112426973967208338371762565639298200335988088889007102009949095738365323062666052845969342310826945707793906623370315767387<135>

1953973489861380236637600237337675521202674187<46>
179429123922753347934347860400502272522245560319059761338443503331008071180375591280463601<90>

N=350599751454112426973967208338371762565639298200335988088889007102009949095738365323062666052845969342310826945707793906623370315767387
  ( 135 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1953973489861380236637600237337675521202674187 (pp46)
 r2=179429123922753347934347860400502272522245560319059761338443503331008071180375591280463601 (pp90)
Version: Msieve-1.40
Total time: 176.37 hours.
Scaled time: 347.26 units (timescale=1.969).
Factorization parameters were as follows:
n: 350599751454112426973967208338371762565639298200335988088889007102009949095738365323062666052845969342310826945707793906623370315767387
m: 200000000000000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 6480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1211548 x 1211775
Total sieving time: 174.53 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 176.37 hours.
 --------- CPU info (if available) ----------

101782259174714652137499882348833203801625445986023915149551445695848334370905117412600079133729447393<102>

74613907887096296093390775451459896397111<41>
1364119130829184749014611168424311953079608604333565611735463<61>

N=101782259174714652137499882348833203801625445986023915149551445695848334370905117412600079133729447393
  ( 102 digits)
Divisors found:
 r1=74613907887096296093390775451459896397111 (pp41)
 r2=1364119130829184749014611168424311953079608604333565611735463 (pp61)
Version: Msieve-1.40
Total time: 5.35 hours.
Scaled time: 10.50 units (timescale=1.963).
Factorization parameters were as follows:
n: 101782259174714652137499882348833203801625445986023915149551445695848334370905117412600079133729447393
skew: 4144.96
# norm 8.09e+013
c5: 76800
c4: 11617080
c3: -11821925307062
c2: 9154442608886857
c1: 60708337880435394414
c0: 32985227967865442327520
# alpha -5.28
Y1: 73116733393
Y0: -16767260674906431259
# Murphy_E 2.91e-009
# M 19386104675992511173042011657419486129925388788397793175006211534982916359793521814351913879651257560
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247914 x 248140
Polynomial selection time: 0.50 hours.
Total sieving time: 4.27 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.35 hours.
 --------- CPU info (if available) ----------

2360071001658203903344054687929341682331016537263602809664873679003855780434872518740241486983082925464814882981012209718033299586033269424324517251668096181<157>

16663011197090153035924251846790077602802574163166121<53>
141635324716719930127448089990215444965580810096329219253906410217898100663461908512925070715782880546861<105>

N=2360071001658203903344054687929341682331016537263602809664873679003855780434872518740241486983082925464814882981012209718033299586033269424324517251668096181
  ( 157 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=16663011197090153035924251846790077602802574163166121 (pp53)
 r2=141635324716719930127448089990215444965580810096329219253906410217898100663461908512925070715782880546861 (pp105)
Version: Msieve-1.40
Total time: 198.83 hours.
Scaled time: 380.95 units (timescale=1.916).
Factorization parameters were as follows:
n: 2360071001658203903344054687929341682331016537263602809664873679003855780434872518740241486983082925464814882981012209718033299586033269424324517251668096181
m: 1000000000000000000000000000000000000
deg: 5
c5: 760
c0: -31
skew: 0.53
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 7100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1393189 x 1393421
Total sieving time: 196.46 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.03 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 198.83 hours.
 --------- CPU info (if available) ----------

2072092347989361590899390367676839717533743319893384063550092287756837507854415280811694451636791957811292925869<112>

182344411026622231522251851026616850719<39>
11363618639711620799512253525652946978051451122509402160319709689863356851<74>

Number: 112a
N=2072092347989361590899390367676839717533743319893384063550092287756837507854415280811694451636791957811292925869
  ( 112 digits)
Divisors found:
 r1=182344411026622231522251851026616850719 (pp39)
 r2=11363618639711620799512253525652946978051451122509402160319709689863356851 (pp74)
Version: Msieve-1.40
Total time: 17.62 hours.
Scaled time: 32.98 units (timescale=1.872).
Factorization parameters were as follows:
name: 112a
n: 2072092347989361590899390367676839717533743319893384063550092287756837507854415280811694451636791957811292925869
skew: 19709.35
# norm 9.56e+015
c5: 68940
c4: -15092805600
c3: 293764349590913
c2: 4943380606345173863
c1: 13945167968419967625029
c0: 23871859683078773701026120
# alpha -6.45
Y1: 857418999121
Y0: -1975130615197482223007
# Murphy_E 7.93e-010
# M 1862992624047638782863569008205778024228090431584207478830744424460700110322700324554217543328329249479718757144
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 386698 x 386925
Total sieving time: 17.18 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 17.62 hours.
 --------- CPU info (if available) ----------

2199603560065392593427532004155225252527457890931964500632770495408700932255415192632429873727148915086911160461146265037588142950921614904602642555858898683017903249582708253<175>

29460257503252184970709166351635031930764364878114240357159<59>
74663419348000381298846732070866283068117367730428952360716033656340344447268473304568155003281325712591590998685467<116>

Number: n
N=2199603560065392593427532004155225252527457890931964500632770495408700932255415192632429873727148915086911160461146265037588142950921614904602642555858898683017903249582708253
  ( 175 digits)
SNFS difficulty: 185 digits.
Divisors found:

Fri Feb  3 17:33:53 2012  prp59 factor: 29460257503252184970709166351635031930764364878114240357159
Fri Feb  3 17:33:53 2012  prp116 factor: 74663419348000381298846732070866283068117367730428952360716033656340344447268473304568155003281325712591590998685467
Fri Feb  3 17:33:53 2012  elapsed time 02:38:30 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_84441_184
n: 2199603560065392593427532004155225252527457890931964500632770495408700932255415192632429873727148915086911160461146265037588142950921614904602642555858898683017903249582708253
m: 2000000000000000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6977514 hash collisions in 76330827 relations (71902816 unique)
Msieve: matrix is 1170519 x 1170754 (329.4 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,185,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 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).

613513219884821051077940842398987914300318024579407289587790491235245722389930541138751689109158249612610982257956742089735330765856874366148160981929820003688575482150834791047<177>

200426375394674018434802894690608843<36>

3061040338012938468219799322455285772223703768764864450572927344790936919609251787661130216881775739882571948129085607792616199124774129762229<142>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2370155769
Step 1 took 6637ms
Step 2 took 3868ms
********** Factor found in step 2: 200426375394674018434802894690608843
Found probable prime factor of 36 digits: 200426375394674018434802894690608843
Composite cofactor has 142 digits

3061040338012938468219799322455285772223703768764864450572927344790936919609251787661130216881775739882571948129085607792616199124774129762229<142>

295542359675769651712503156639151218755159<42>
10357365831994813871245047039471143103972130857959268689855956416909788282958171774894573190701099731<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=187904074
Step 1 took 16499ms
Step 2 took 7037ms
********** Factor found in step 2: 295542359675769651712503156639151218755159
Found probable prime factor of 42 digits: 295542359675769651712503156639151218755159

102372935396770122920049484704235558641858550326053839089878371311898677210851356677863836314204752738312187787374413015034386249969146479353032915434673353886380565969473491101<177>

549912142248176426540374928191713556628153736428687<51>
139947160526923518637115866924995979080921958077022614090765997<63>
1330233117551404608027769538269470145154474038858930771641831359<64>

Number: n
N=102372935396770122920049484704235558641858550326053839089878371311898677210851356677863836314204752738312187787374413015034386249969146479353032915434673353886380565969473491101
  ( 177 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Feb  4 23:44:20 2012  prp51 factor: 549912142248176426540374928191713556628153736428687
Sat Feb  4 23:44:20 2012  prp63 factor: 139947160526923518637115866924995979080921958077022614090765997
Sat Feb  4 23:44:20 2012  prp64 factor: 1330233117551404608027769538269470145154474038858930771641831359
Sat Feb  4 23:44:20 2012  elapsed time 03:05:15 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_84441_186
n: 102372935396770122920049484704235558641858550326053839089878371311898677210851356677863836314204752738312187787374413015034386249969146479353032915434673353886380565969473491101
m: 10000000000000000000000000000000000000
#  c177, diff: 187.88
skew: 0.53
deg: 5
c5: 760
c0: -31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7530180 hash collisions in 77086999 relations (72051243 unique)
Msieve: matrix is 1247696 x 1247932 (349.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

38743977453055379791111820660689779435916917899364843749504380214024817130137163177519988781599464482613183521620013215577308967875668523857497540629466773952503110441955288407<176>

282563257251720521293615840364149<33>

137116119873081865767500460153728251357627583296900121870469632827415636460681797591141537640658219299233837513468836229831483494336439490870043<144>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1181326835
Step 1 took 6716ms
Step 2 took 3808ms
********** Factor found in step 2: 282563257251720521293615840364149
Found probable prime factor of 33 digits: 282563257251720521293615840364149
Composite cofactor has 144 digits

137116119873081865767500460153728251357627583296900121870469632827415636460681797591141537640658219299233837513468836229831483494336439490870043<144>

3160139243264889344073980679099070045417512419813<49>
43389265256369119983707276417031876708631861832614179277286740706651994345386134692723839891711<95>

N=137116119873081865767500460153728251357627583296900121870469632827415636460681797591141537640658219299233837513468836229831483494336439490870043
  ( 144 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=3160139243264889344073980679099070045417512419813 (pp49)
 r2=43389265256369119983707276417031876708631861832614179277286740706651994345386134692723839891711 (pp95)
Version: Msieve-1.40
Total time: 329.97 hours.
Scaled time: 636.19 units (timescale=1.928).
Factorization parameters were as follows:
n: 137116119873081865767500460153728251357627583296900121870469632827415636460681797591141537640658219299233837513468836229831483494336439490870043
m: 10000000000000000000000000000000000000
deg: 5
c5: 7600
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1810334 x 1810559
Total sieving time: 323.52 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.99 hours.
Time per square root: 1.21 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 329.97 hours.
 --------- CPU info (if available) ----------

2690182009171289176376170139339250574362017581010704608845310075207873416043335076031702285007381188985474734855793341003150533341572697442700383120511538508552939622040190112339<178>

1506133953671428966142974996833128515783771<43>
1786150562912126283195468450525025807982487941460314590879745151884814496548001627211274606197826934021759592091567839586616610026050409<136>

Number: n
N=2690182009171289176376170139339250574362017581010704608845310075207873416043335076031702285007381188985474734855793341003150533341572697442700383120511538508552939622040190112339
  ( 178 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Feb 24 18:03:23 2012  prp43 factor: 1506133953671428966142974996833128515783771
Fri Feb 24 18:03:23 2012  prp136 factor: 1786150562912126283195468450525025807982487941460314590879745151884814496548001627211274606197826934021759592091567839586616610026050409
Fri Feb 24 18:03:23 2012  elapsed time 03:24:03 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_84441_189
n: 2690182009171289176376170139339250574362017581010704608845310075207873416043335076031702285007381188985474734855793341003150533341572697442700383120511538508552939622040190112339
m: 20000000000000000000000000000000000000
#  c178, diff: 190.88
skew: 0.26
deg: 5
c5: 23750
c0: -31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10329594 hash collisions in 79244160 relations (73144769 unique)
Msieve: matrix is 1389231 x 1389464 (391.0 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,190,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
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.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

78904225813747397334107178503026610275557557463937991063683406368296481848386517211721218652949724952355401820530931183958901150815638967553093420465716457973887091812565283918571<179>

214117354285929396660242089399<30>

368509250811962535207327956787735716687078404390399518798449974213284000312809109758845605799888779769423838285961973909275762055451315828775032274029<150>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3649812283
Step 1 took 8937ms
Step 2 took 4672ms
********** Factor found in step 2: 214117354285929396660242089399
Found probable prime factor of 30 digits: 214117354285929396660242089399
Composite cofactor has 150 digits

GMP-ECM 6.2.3

368509250811962535207327956787735716687078404390399518798449974213284000312809109758845605799888779769423838285961973909275762055451315828775032274029<150>

123506319646161426560818985542327<33>

2983727892367941625768581358693204791973804829760418776685227682010895529523024808492593264000318548856715020812805627<118>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1672085103
Step 1 took 7223ms
Step 2 took 2808ms
********** Factor found in step 2: 123506319646161426560818985542327
Found probable prime factor of 33 digits: 123506319646161426560818985542327
Composite cofactor 2983727892367941625768581358693204791973804829760418776685227682010895529523024808492593264000318548856715020812805627 has 118 digits

GMP-ECM 6.3

2983727892367941625768581358693204791973804829760418776685227682010895529523024808492593264000318548856715020812805627<118>

3425501042586673250076972384063212431157441<43>
871034005032694798143485247621996677760149721272020886766195504229728149947<75>

Sieving took ~2cpu-days.

Msieve v. 1.48
Tue Mar 29 10:49:51 2011
random seeds: 16ca795b a9abfd03
factoring 2983727892367941625768581358693204791973804829760418776685227682010895529523024808492593264000318548856715020812805627 (118 digits)
searching for 15-digit factors
commencing number field sieve (118-digit input)
R0: -32890457785067118531290
R1:  6185495498611
A0:  785330614616098152332278197
A1:  1834735571604562429291092
A2:  15488296400787318567
A3: -1480077030619948
A4: -3930127100
A5:  77520
skew 63305.36, size 3.317e-11, alpha -7.038, combined = 4.223e-10 rroots = 5

commencing square root phase
reading relations for dependency 1
read 337038 cycles
cycles contain 1217964 unique relations
read 1217964 relations
multiplying 1217964 relations
multiply complete, coefficients have about 56.06 million bits
initial square root is modulo 111906449
reading relations for dependency 2
read 336662 cycles
cycles contain 1218000 unique relations
read 1218000 relations
multiplying 1218000 relations
multiply complete, coefficients have about 56.07 million bits
initial square root is modulo 112089101
sqrtTime: 1382
prp43 factor: 3425501042586673250076972384063212431157441
prp75 factor: 871034005032694798143485247621996677760149721272020886766195504229728149947
elapsed time 00:23:04

65323277788949157183715477623414681895044552546841612343241508164444659766357933912683308060753492271560467932268767204656996592049749407691<140>

267167999618998306069382714470775551943<39>
244502627118910469391942335651477697200745088048543266957512766099753560202389379160816717718995740637<102>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=3135319902
Step 1 took 4924ms
Step 2 took 3092ms
********** Factor found in step 2: 267167999618998306069382714470775551943
Found probable prime factor of 39 digits: 267167999618998306069382714470775551943
Probable prime cofactor has 102 digits

4661287772415033661621513872937854799400410457913386341362949222631487581931631507348858423239469895317946129226123515849729893001445571443855458228050865731195399595515158897605417290751<187>

20354250628423613120494890149301531761799331<44>
229008075881005253581327309962013815441011010290571346846790577867412882750265948465887032842048241300409874750465703444732807450471640482840821<144>

Number: 4
N=4661287772415033661621513872937854799400410457913386341362949222631487581931631507348858423239469895317946129226123515849729893001445571443855458228050865731195399595515158897605417290751
  ( 187 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=20354250628423613120494890149301531761799331 (pp44)
 r2=229008075881005253581327309962013815441011010290571346846790577867412882750265948465887032842048241300409874750465703444732807450471640482840821 (pp144)
Version: Msieve-1.40
Total time: 540.11 hours.
Scaled time: 939.26 units (timescale=1.739).
Factorization parameters were as follows:
n: 4661287772415033661621513872937854799400410457913386341362949222631487581931631507348858423239469895317946129226123515849729893001445571443855458228050865731195399595515158897605417290751
m: 200000000000000000000000000000000000000
deg: 5
c5: 23750
c0: -31
skew: 0.26
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 14750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2565272 x 2565497
Total sieving time: 526.47 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 11.33 hours.
Time per square root: 2.02 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 540.11 hours.

GGNFS, Msieve

163489225583674138976280846533743941321184690765212481399454258677213630693588836259566162366049363879780888135419573467351729754675512662420494823919<150>

25187932182705063274295889327528875559187<41>

6490775995336834324031986868720464142952883501105147990523096894850735074211730710808467767868846666233482037<109>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2981484183
Step 1 took 4949ms
Step 2 took 3180ms
********** Factor found in step 2: 25187932182705063274295889327528875559187
Found probable prime factor of 41 digits: 25187932182705063274295889327528875559187
Composite cofactor has 109 digits

6490775995336834324031986868720464142952883501105147990523096894850735074211730710808467767868846666233482037<109>

251167058226601738423145263911404482568841833873783<51>
25842465334291118519777189889985606831481847418110963311539<59>

N=6490775995336834324031986868720464142952883501105147990523096894850735074211730710808467767868846666233482037
  ( 109 digits)
Divisors found:
 r1=251167058226601738423145263911404482568841833873783 (pp51)
 r2=25842465334291118519777189889985606831481847418110963311539 (pp59)
Version: Msieve-1.40
Total time: 11.10 hours.
Scaled time: 20.89 units (timescale=1.882).
Factorization parameters were as follows:
n: 6490775995336834324031986868720464142952883501105147990523096894850735074211730710808467767868846666233482037
skew: 4600.35
# norm 6.09e+014
c5: 323700
c4: 15132737280
c3: -38902714936359
c2: -161250651992764058
c1: 510427695956768184300
c0: 18378024519047804224904
# alpha -5.61
Y1: 158410171843
Y0: -457540327325569490259
# Murphy_E 1.14e-009
# M 709538955069276268206735806733304571888636173137609519379515215586067145868272544774363079768565763329548977
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456730 x 456957
Polynomial selection time: 1.24 hours.
Total sieving time: 8.83 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.10 hours.
 --------- CPU info (if available) ----------

8178704133051032172525365510120586416684392435712752258581784036980210939190712857224106473082360383497169036940975040105737052252543094476373444532689327841453718530409837600357203<181>

74423012850673467755717697318343500980315247621925984983617831<62>
109894827147904447541068367620334981381558438420044898972336392317107150170559301100573071471925879326178951412201703413<120>

Number: d841
N=8178704133051032172525365510120586416684392435712752258581784036980210939190712857224106473082360383497169036940975040105737052252543094476373444532689327841453718530409837600357203
  ( 181 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=74423012850673467755717697318343500980315247621925984983617831 (pp62)
 r2=109894827147904447541068367620334981381558438420044898972336392317107150170559301100573071471925879326178951412201703413 (pp120)
Version: Msieve-1.40
Total time: 678.56 hours.
Scaled time: 1323.87 units (timescale=1.951).
Factorization parameters were as follows:
n: 8178704133051032172525365510120586416684392435712752258581784036980210939190712857224106473082360383497169036940975040105737052252543094476373444532689327841453718530409837600357203
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7600
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7200000, 16800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2505728 x 2505954
Total sieving time: 668.61 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 9.26 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 678.56 hours.
 --------- CPU info (if available) ----------

2834173621677364866027145659085372047098747878640296044652804878840507252842480948157143477111411272547285168389550350946167288450293241583119946639321670529208440065836685253698989323763173<190>

3269828740780134788057779789928640849586374516962459265514362822249383641<73>
866765156942492105571237453686421046791709659682143868291987505143772835744115351955532519244931521449904709405622253<117>

N=2834173621677364866027145659085372047098747878640296044652804878840507252842480948157143477111411272547285168389550350946167288450293241583119946639321670529208440065836685253698989323763173
  ( 190 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=3269828740780134788057779789928640849586374516962459265514362822249383641 (pp73)
 r2=866765156942492105571237453686421046791709659682143868291987505143772835744115351955532519244931521449904709405622253 (pp117)
Version: Msieve v. 1.48
Total time:
Scaled time: 139.18 units (timescale=1.289).
Factorization parameters were as follows:
n: 2834173621677364866027145659085372047098747878640296044652804878840507252842480948157143477111411272547285168389550350946167288450293241583119946639321670529208440065836685253698989323763173
m: 2000000000000000000000000000000000000000
deg: 5
c5: 2375
c0: -31
skew: 0.42
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 19660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2820486 x 2820695
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time:

18740882050478399456121124998621204156995163096803022555577338892085994216517846643151905388109227549990286982073629104608054992573457462732526618732561604097222791<164>

649200685686715828310691842434004243318503<42>

28867625163788211853793302497782389796804829569612984763042252057325750448466535051835133186424080804789231564005279776097<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3402047881
Step 1 took 25709ms
Step 2 took 13588ms
********** Factor found in step 2: 649200685686715828310691842434004243318503
Found probable prime factor of 42 digits: 649200685686715828310691842434004243318503
Composite cofactor 28867625163788211853793302497782389796804829569612984763042252057325750448466535051835133186424080804789231564005279776097 has 122 digits

GMP-ECM 6.3

28867625163788211853793302497782389796804829569612984763042252057325750448466535051835133186424080804789231564005279776097<122>

18178510223538227096218335794294750897503157363171981663363<59>
1588008302595077994709937862365301544760377738693831168103129419<64>

Number: r122
N=28867625163788211853793302497782389796804829569612984763042252057325750448466535051835133186424080804789231564005279776097
  ( 122 digits)
Divisors found:
 r1=18178510223538227096218335794294750897503157363171981663363 (pp59)
 r2=1588008302595077994709937862365301544760377738693831168103129419 (pp64)
Version: Msieve-1.40
Total time: 46.06 hours.
Scaled time: 85.95 units (timescale=1.866).
Factorization parameters were as follows:
name: 122
n: 28867625163788211853793302497782389796804829569612984763042252057325750448466535051835133186424080804789231564005279776097
skew: 123988.31
# norm 3.26e+16
c5: 20520
c4: 2200479422
c3: -1133524827536669
c2: -56840181847245745956
c1: 7046491804869521426163112
c0: -109351700002887577283179724760
# alpha -5.44
Y1: 17368048115747
Y0: -268934264600435601713201
# Murphy_E 2.21e-10
# M 16828486559538857499516623442869224170215152157142249808572132139789378446174504545803896481314443621974713612710515728845
type: gnfs
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2350000, 4850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 824119 x 824346
Total sieving time: 45.08 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 46.06 hours.
 --------- CPU info (if available) ----------

2715387957101423396068426468008189787628997882576298959295171184504410465005772459866195606374982179523430637292615204113705817318048598324901150419350271643<157>

26987677994389403785376939739355846738397073967543766201484322289691417208195731685664571570611839068214907141081637725933027946450765242711551436383651148751819892759490074926316537054792088349135329<200>

822862788315334030519575135147301625555843803031<48>

32797300324689489888357465309937743749489830609085371638524624941523281281590881756586414148331843124464330351171059209993908215504137793598565842911559<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3069835256
Step 1 took 138464ms
Step 2 took 41862ms
********** Factor found in step 2: 822862788315334030519575135147301625555843803031
Found probable prime factor of 48 digits: 822862788315334030519575135147301625555843803031

64957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957<203>

130080341289490767518972113181<30>

499362657826243538064865440491942808456219029396763812420914975724632200078680360856746444290694305109176751793110322227068892558622276718839664046671575004666691142338094497<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3871
Step 1 took 6381ms
Step 2 took 4664ms
********** Factor found in step 2: 130080341289490767518972113181

499362657826243538064865440491942808456219029396763812420914975724632200078680360856746444290694305109176751793110322227068892558622276718839664046671575004666691142338094497<174>

2902860401701899537937656299759371471649<40>
172024344516696492059305187923825126582474880758985046366818952949933659277305363146894337704133617523975679887048450015968804535437953<135>

prp40 = 2902860401701899537937656299759371471649 
prp135 = 172024344516696492059305187923825126582474880758985046366818952949933659277305363146894337704133617523975679887048450015968804535437953
(curve 5 stg2 B1=1000000 sigma=1148959872 thread=4)

yafu 1.30

81435937895748880678969452745801263241358307811119073811591190297605930473527538905991778124111216075532841630473691657989995099608040666906875093578422421161482221491564666761870727521882431<191>

118590919003689421812397892603659<33>

686696237620145001164904738228659645102275690591840777370152619885421779912034767667531465884918958621148070344629365625127077990902368725041109341831192180509<159>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1353343169
Step 1 took 8896ms
Step 2 took 6633ms
********** Factor found in step 2: 118590919003689421812397892603659
Found probable prime factor of 33 digits: 118590919003689421812397892603659
Composite cofactor 686696237620... has 159 digits

686696237620145001164904738228659645102275690591840777370152619885421779912034767667531465884918958621148070344629365625127077990902368725041109341831192180509<159>

163444248475695933776778406488637847073078858467905360750712514084065287<72>
4201409618413439239262708781110166859458852438505782639892707537719063232321777790840507<88>

Number: n
N=686696237620145001164904738228659645102275690591840777370152619885421779912034767667531465884918958621148070344629365625127077990902368725041109341831192180509  ( 159 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Mar 12 05:04:23 2024  prp72 factor: 163444248475695933776778406488637847073078858467905360750712514084065287
Tue Mar 12 05:04:23 2024  prp88 factor: 4201409618413439239262708781110166859458852438505782639892707537719063232321777790840507
Tue Mar 12 05:04:23 2024  elapsed time 04:10:40 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 76x10^204-31 = 84(203)1
#
n: 686696237620145001164904738228659645102275690591840777370152619885421779912034767667531465884918958621148070344629365625127077990902368725041109341831192180509
m: 100000000000000000000000000000000000000000
deg: 5
c5: 38
c0: -155
skew: 1.32
# Murphy_E = 7.584e-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, 78500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3702346 hash collisions in 19374774 relations (16364943 unique)
Msieve: matrix is 2714193 x 2714418 (765.2 MB)

Sieving start time: 2024/03/10 12:41:29
Sieving end time  : 2024/03/12 00:53:16

Total sieving time: 36hrs 11min 47secs.

Total relation processing time: 3hrs 50min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 52sec.

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) ----------

99944164679477407517665568468865614825746447725347308348269548921284126991201890575284793967819260407638428181277713778174858914357001518859665807346792490487589959<164>

1872837413377120599628761003432535057599180916469915912316404311657271354955261187868600667322662512866221170552341484052275668604664823637039641435741338899128991394167363939848767800449<187>

58221503037219549300842882899099847317<38>

32167452155604133549090072239956118940262836903839798339565816972989386559440424156848493234446562708068027642110622029322444747538806467623788987197<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=535747000
Step 1 took 23287ms
********** Factor found in step 1: 58221503037219549300842882899099847317
Found probable prime factor of 38 digits: 58221503037219549300842882899099847317

4202515157767146852131180869213177408740544748704882979223600033405571804082746793545907719856114949583393336678867176428437528697026819506170959433602259466791622925257665189963666104574734690103186843<202>

1446311396162011344522733817<28>
186618520992598234927388754647<30>

15570147871194011723350685331394479859239225826290522941671580320972253897620516623012258249978257595704058711355918258694823854213238454421156357<146>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2952512525
Step 1 took 10097ms
Step 2 took 7392ms
********** Factor found in step 2: 186618520992598234927388754647
Found probable prime factor of 30 digits: 186618520992598234927388754647
Composite cofactor 225192823060... has 173 digits

Input number is 4202515157767146852131180869213177408740544748704882979223600033405571804082746793545907719856114949583393336678867176428437528697026819506170959433602259466791622925257665189963666104574734690103186843/186618520992598234927388754647 (173 digits)
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2003559776
Step 1 took 7580ms
********** Factor found in step 1: 1446311396162011344522733817
Found probable prime factor of 28 digits: 1446311396162011344522733817
Composite cofactor (420251515776.../186618520992598234927388754647)/1446311396162011344522733817 has 146 digits

GMP-ECM 6.5-dev [configured with GMP 5.0.2, --enable-asm-redc] [ECM]

15570147871194011723350685331394479859239225826290522941671580320972253897620516623012258249978257595704058711355918258694823854213238454421156357<146>

414555592984024439571205124908851485301820381<45>
37558648670297959735419386007893038566347573603281631315529494528363015860736941565275230277268967497<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3392463155
Step 1 took 53526ms
Step 2 took 1391ms
********** Factor found in step 2: 414555592984024439571205124908851485301820381
Found probable prime factor of 45 digits: 414555592984024439571205124908851485301820381
Probable prime cofactor 37558648670297959735419386007893038566347573603281631315529494528363015860736941565275230277268967497 has 101 digits

GMP-ECM 6.3

8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<211>

42774497935258680395699750825480304951375416523503369885284269087254048352112949<80>
197417733744660873410231121592178270890294733346005109198263562929260102215225911203959820021295726299430192067679080778787056017109<132>

Sieving took ~60 cpu-days on Xeon E5620.

Sun Jul  1 16:58:13 2012  Msieve v. 1.48
Sun Jul  1 16:58:13 2012  random seeds: b964aef6 7648ac21
Sun Jul  1 16:58:13 2012  factoring 8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (211 digits)
Sun Jul  1 16:58:15 2012  searching for 15-digit factors
Sun Jul  1 16:58:15 2012  commencing number field sieve (211-digit input)
Sun Jul  1 16:58:15 2012  R0: -1000000000000000000000000000000000000000000
Sun Jul  1 16:58:15 2012  R1:  1
Sun Jul  1 16:58:15 2012  A0: -31
Sun Jul  1 16:58:15 2012  A1:  0
Sun Jul  1 16:58:15 2012  A2:  0
Sun Jul  1 16:58:15 2012  A3:  0
Sun Jul  1 16:58:15 2012  A4:  0
Sun Jul  1 16:58:15 2012  A5:  76
Sun Jul  1 16:58:15 2012  skew 0.84, size 9.032e-15, alpha 1.270, combined = 4.472e-12 rroots = 1
Sun Jul  1 16:58:15 2012  
Sun Jul  1 16:58:15 2012  commencing relation filtering
Sun Jul  1 16:58:15 2012  estimated available RAM is 24048.3 MB
Sun Jul  1 16:58:15 2012  commencing duplicate removal, pass 1
Sun Jul  1 17:07:38 2012  skipped 4 relations with b > 2^32
Sun Jul  1 17:07:38 2012  found 6767588 hash collisions in 46372004 relations
Sun Jul  1 17:08:17 2012  added 1022 free relations
Sun Jul  1 17:08:17 2012  commencing duplicate removal, pass 2
Sun Jul  1 17:11:51 2012  found 6028007 duplicates and 40345019 unique relations
Sun Jul  1 17:11:51 2012  memory use: 197.2 MB
Sun Jul  1 17:11:51 2012  reading ideals above 720000
Sun Jul  1 17:11:51 2012  commencing singleton removal, initial pass
Sun Jul  1 17:21:51 2012  memory use: 1378.0 MB
Sun Jul  1 17:21:51 2012  reading all ideals from disk
Sun Jul  1 17:21:52 2012  memory use: 1440.1 MB
Sun Jul  1 17:21:57 2012  keeping 42964253 ideals with weight <= 200, target excess is 216375
Sun Jul  1 17:22:02 2012  commencing in-memory singleton removal
Sun Jul  1 17:22:07 2012  begin with 40345019 relations and 42964253 unique ideals
Sun Jul  1 17:23:06 2012  reduce to 18377746 relations and 17868655 ideals in 20 passes
Sun Jul  1 17:23:06 2012  max relations containing the same ideal: 122
Sun Jul  1 17:23:16 2012  removing 1504502 relations and 1375454 ideals in 129048 cliques
Sun Jul  1 17:23:16 2012  commencing in-memory singleton removal
Sun Jul  1 17:23:18 2012  begin with 16873244 relations and 17868655 unique ideals
Sun Jul  1 17:23:35 2012  reduce to 16772636 relations and 16391532 ideals in 10 passes
Sun Jul  1 17:23:35 2012  max relations containing the same ideal: 114
Sun Jul  1 17:23:45 2012  removing 1091271 relations and 962223 ideals in 129048 cliques
Sun Jul  1 17:23:46 2012  commencing in-memory singleton removal
Sun Jul  1 17:23:48 2012  begin with 15681365 relations and 16391532 unique ideals
Sun Jul  1 17:24:00 2012  reduce to 15623658 relations and 15371123 ideals in 8 passes
Sun Jul  1 17:24:00 2012  max relations containing the same ideal: 108
Sun Jul  1 17:24:13 2012  relations with 0 large ideals: 4539
Sun Jul  1 17:24:13 2012  relations with 1 large ideals: 1275
Sun Jul  1 17:24:13 2012  relations with 2 large ideals: 20961
Sun Jul  1 17:24:13 2012  relations with 3 large ideals: 179308
Sun Jul  1 17:24:13 2012  relations with 4 large ideals: 843528
Sun Jul  1 17:24:13 2012  relations with 5 large ideals: 2349363
Sun Jul  1 17:24:13 2012  relations with 6 large ideals: 4188967
Sun Jul  1 17:24:13 2012  relations with 7+ large ideals: 8035717
Sun Jul  1 17:24:13 2012  commencing 2-way merge
Sun Jul  1 17:24:28 2012  reduce to 9336811 relation sets and 9084277 unique ideals
Sun Jul  1 17:24:28 2012  ignored 1 oversize relation sets
Sun Jul  1 17:24:28 2012  commencing full merge
Sun Jul  1 17:28:21 2012  memory use: 1102.4 MB
Sun Jul  1 17:28:23 2012  found 4880756 cycles, need 4850477
Sun Jul  1 17:28:25 2012  weight of 4850477 cycles is about 339647012 (70.02/cycle)
Sun Jul  1 17:28:25 2012  distribution of cycle lengths:
Sun Jul  1 17:28:25 2012  1 relations: 747105
Sun Jul  1 17:28:25 2012  2 relations: 645577
Sun Jul  1 17:28:25 2012  3 relations: 608140
Sun Jul  1 17:28:25 2012  4 relations: 524399
Sun Jul  1 17:28:25 2012  5 relations: 440179
Sun Jul  1 17:28:25 2012  6 relations: 367907
Sun Jul  1 17:28:25 2012  7 relations: 304201
Sun Jul  1 17:28:25 2012  8 relations: 246369
Sun Jul  1 17:28:25 2012  9 relations: 200328
Sun Jul  1 17:28:25 2012  10+ relations: 766272
Sun Jul  1 17:28:25 2012  heaviest cycle: 25 relations
Sun Jul  1 17:28:27 2012  commencing cycle optimization
Sun Jul  1 17:28:37 2012  start with 26251234 relations
Sun Jul  1 17:29:28 2012  pruned 544748 relations
Sun Jul  1 17:29:29 2012  memory use: 897.8 MB
Sun Jul  1 17:29:29 2012  distribution of cycle lengths:
Sun Jul  1 17:29:29 2012  1 relations: 747105
Sun Jul  1 17:29:29 2012  2 relations: 659487
Sun Jul  1 17:29:29 2012  3 relations: 627665
Sun Jul  1 17:29:29 2012  4 relations: 533506
Sun Jul  1 17:29:29 2012  5 relations: 446848
Sun Jul  1 17:29:29 2012  6 relations: 369054
Sun Jul  1 17:29:29 2012  7 relations: 302330
Sun Jul  1 17:29:29 2012  8 relations: 243509
Sun Jul  1 17:29:29 2012  9 relations: 196824
Sun Jul  1 17:29:29 2012  10+ relations: 724149
Sun Jul  1 17:29:29 2012  heaviest cycle: 25 relations
Sun Jul  1 17:29:38 2012  RelProcTime: 1883
Sun Jul  1 17:29:40 2012  
Sun Jul  1 17:29:40 2012  commencing linear algebra
Sun Jul  1 17:29:43 2012  read 4850477 cycles
Sun Jul  1 17:29:57 2012  cycles contain 15331587 unique relations
Sun Jul  1 17:37:18 2012  read 15331587 relations
Sun Jul  1 17:37:48 2012  using 20 quadratic characters above 536870574
Sun Jul  1 17:39:25 2012  building initial matrix
Sun Jul  1 17:44:32 2012  memory use: 1895.5 MB
Sun Jul  1 17:44:36 2012  read 4850477 cycles
Sun Jul  1 17:44:38 2012  matrix is 4850296 x 4850477 (1460.5 MB) with weight 425988750 (87.82/col)
Sun Jul  1 17:44:38 2012  sparse part has weight 329500878 (67.93/col)
Sun Jul  1 17:45:59 2012  filtering completed in 2 passes
Sun Jul  1 17:46:01 2012  matrix is 4844062 x 4844242 (1460.0 MB) with weight 425801567 (87.90/col)
Sun Jul  1 17:46:01 2012  sparse part has weight 329441817 (68.01/col)
Sun Jul  1 17:46:16 2012  matrix starts at (0, 0)
Sun Jul  1 17:46:18 2012  matrix is 4844062 x 4844242 (1460.0 MB) with weight 425801567 (87.90/col)
Sun Jul  1 17:46:18 2012  sparse part has weight 329441817 (68.01/col)
Sun Jul  1 17:46:18 2012  saving the first 48 matrix rows for later
Sun Jul  1 17:46:20 2012  matrix includes 64 packed rows
Sun Jul  1 17:46:21 2012  matrix is 4844014 x 4844242 (1389.1 MB) with weight 340323506 (70.25/col)
Sun Jul  1 17:46:21 2012  sparse part has weight 315711909 (65.17/col)
Sun Jul  1 17:46:21 2012  using block size 262144 for processor cache size 12288 kB
Sun Jul  1 17:46:36 2012  commencing Lanczos iteration (16 threads)
Sun Jul  1 17:46:36 2012  memory use: 2136.5 MB
Sun Jul  1 17:47:20 2012  linear algebra at 0.0%, ETA 35h31m
Sun Jul  1 17:47:30 2012  checkpointing every 150000 dimensions
Tue Jul  3 02:27:39 2012  
Tue Jul  3 02:27:39 2012  
Tue Jul  3 02:27:39 2012  Msieve v. 1.48
Tue Jul  3 02:27:39 2012  random seeds: e475e442 91d67747
Tue Jul  3 02:27:39 2012  factoring 8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (211 digits)
Tue Jul  3 02:27:42 2012  searching for 15-digit factors
Tue Jul  3 02:27:42 2012  commencing number field sieve (211-digit input)
Tue Jul  3 02:27:42 2012  R0: -1000000000000000000000000000000000000000000
Tue Jul  3 02:27:42 2012  R1:  1
Tue Jul  3 02:27:42 2012  A0: -31
Tue Jul  3 02:27:42 2012  A1:  0
Tue Jul  3 02:27:42 2012  A2:  0
Tue Jul  3 02:27:42 2012  A3:  0
Tue Jul  3 02:27:42 2012  A4:  0
Tue Jul  3 02:27:42 2012  A5:  76
Tue Jul  3 02:27:42 2012  skew 0.84, size 9.032e-15, alpha 1.270, combined = 4.472e-12 rroots = 1
Tue Jul  3 02:27:42 2012  
Tue Jul  3 02:27:42 2012  commencing linear algebra
Tue Jul  3 02:27:45 2012  matrix starts at (0, 0)
Tue Jul  3 02:27:46 2012  matrix is 4844062 x 4844242 (1460.0 MB) with weight 425801567 (87.90/col)
Tue Jul  3 02:27:46 2012  sparse part has weight 329441817 (68.01/col)
Tue Jul  3 02:27:46 2012  saving the first 48 matrix rows for later
Tue Jul  3 02:27:47 2012  matrix includes 64 packed rows
Tue Jul  3 02:27:48 2012  matrix is 4844014 x 4844242 (1389.1 MB) with weight 340323506 (70.25/col)
Tue Jul  3 02:27:48 2012  sparse part has weight 315711909 (65.17/col)
Tue Jul  3 02:27:48 2012  using block size 262144 for processor cache size 12288 kB
Tue Jul  3 02:28:00 2012  commencing Lanczos iteration (16 threads)
Tue Jul  3 02:28:00 2012  memory use: 2136.5 MB
Tue Jul  3 02:28:01 2012  restarting at iteration 54571 (dim = 3451198)
Tue Jul  3 02:28:16 2012  checkpointing every 200000 dimensions
Tue Jul  3 02:28:29 2012  linear algebra at 71.3%, ETA 7h 6m
Tue Jul  3 09:41:48 2012  lanczos halted after 76600 iterations (dim = 4844014)
Tue Jul  3 09:42:10 2012  recovered 38 nontrivial dependencies
Tue Jul  3 09:42:10 2012  BLanczosTime: 26068
Tue Jul  3 09:42:10 2012  elapsed time 07:14:31
Tue Jul  3 10:15:21 2012  
Tue Jul  3 10:15:21 2012  
Tue Jul  3 10:15:21 2012  Msieve v. 1.48
Tue Jul  3 10:15:21 2012  random seeds: 8f77add9 8d036e3b
Tue Jul  3 10:15:21 2012  factoring 8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (211 digits)
Tue Jul  3 10:15:23 2012  searching for 15-digit factors
Tue Jul  3 10:15:23 2012  commencing number field sieve (211-digit input)
Tue Jul  3 10:15:23 2012  R0: -1000000000000000000000000000000000000000000
Tue Jul  3 10:15:23 2012  R1:  1
Tue Jul  3 10:15:23 2012  A0: -31
Tue Jul  3 10:15:23 2012  A1:  0
Tue Jul  3 10:15:23 2012  A2:  0
Tue Jul  3 10:15:23 2012  A3:  0
Tue Jul  3 10:15:23 2012  A4:  0
Tue Jul  3 10:15:23 2012  A5:  76
Tue Jul  3 10:15:23 2012  skew 0.84, size 9.032e-15, alpha 1.270, combined = 4.472e-12 rroots = 1
Tue Jul  3 10:15:23 2012  
Tue Jul  3 10:15:23 2012  commencing square root phase
Tue Jul  3 10:15:23 2012  reading relations for dependency 1
Tue Jul  3 10:15:24 2012  read 2420918 cycles
Tue Jul  3 10:15:28 2012  cycles contain 7663790 unique relations
Tue Jul  3 10:19:26 2012  read 7663790 relations
Tue Jul  3 10:20:11 2012  multiplying 7663790 relations
Tue Jul  3 10:28:00 2012  multiply complete, coefficients have about 232.54 million bits
Tue Jul  3 10:28:01 2012  initial square root is modulo 221348431
Tue Jul  3 10:37:22 2012  reading relations for dependency 2
Tue Jul  3 10:37:23 2012  read 2422103 cycles
Tue Jul  3 10:37:27 2012  cycles contain 7663856 unique relations
Tue Jul  3 10:41:23 2012  read 7663856 relations
Tue Jul  3 10:42:12 2012  multiplying 7663856 relations
Tue Jul  3 10:50:08 2012  multiply complete, coefficients have about 232.54 million bits
Tue Jul  3 10:50:09 2012  initial square root is modulo 221458291
Tue Jul  3 10:59:42 2012  sqrtTime: 2659
Tue Jul  3 10:59:42 2012  prp80 factor: 42774497935258680395699750825480304951375416523503369885284269087254048352112949
Tue Jul  3 10:59:42 2012  prp132 factor: 197417733744660873410231121592178270890294733346005109198263562929260102215225911203959820021295726299430192067679080778787056017109
Tue Jul  3 10:59:42 2012  elapsed time 00:44:21

264854583985458836777731215221790061274421695465978078744292949821831870564422712815389308635259735722815343239641975076401698848517415386852321560623684230877221347644145942398526097<183>

253363199765180685761747479861289451932300301539892971969441128538818173974385225955732756849950554872893501095405034781924200172747485435372683728732076499567777946090859138942909339605733837911<195>

64957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957<215>

372087241278843982949243226054815806439646297915304674491<57>
175257149351276364256589825979713740684008170509351667938036279<63>
996109790421796587284358854497986945564853822323275700845474824519913830848988760379005921272913<96>

<Sieving from 15e6 to 41e6 using gnfs-lasieve4I14e -r>
<using 256 threads on Intel Xeon E5-2680 v2 @2.8GHz running Linux Ubuntu 13.04 x86_64 (8 nodes, 60GB RAM each)>
<took 6.3 hours.>
<Post-processing using 12 threads on Intel Xeon E5-2620 @2.0GHz 32GB RAM running Windows 7 Pro 64 bits.>

Wed Nov 19 19:31:21 2014  Msieve v. 1.53 (SVN 965M)
Wed Nov 19 19:31:21 2014  random seeds: b7b9ac24 ed584875
Wed Nov 19 19:31:21 2014  factoring 64957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957264957 (215 digits)
Wed Nov 19 19:31:23 2014  searching for 15-digit factors
Wed Nov 19 19:31:25 2014  commencing number field sieve (215-digit input)
Wed Nov 19 19:31:25 2014  R0: -1000000000000000000000000000000000000
Wed Nov 19 19:31:25 2014  R1: 1
Wed Nov 19 19:31:25 2014  A0: -155
Wed Nov 19 19:31:25 2014  A1: 0
Wed Nov 19 19:31:25 2014  A2: 0
Wed Nov 19 19:31:25 2014  A3: 0
Wed Nov 19 19:31:25 2014  A4: 0
Wed Nov 19 19:31:25 2014  A5: 0
Wed Nov 19 19:31:25 2014  A6: 38
Wed Nov 19 19:31:25 2014  skew 1.26, size 1.022e-010, alpha -1.422, combined = 3.388e-012 rroots = 2
Wed Nov 19 19:31:25 2014  
Wed Nov 19 19:31:25 2014  commencing relation filtering
Wed Nov 19 19:31:25 2014  estimated available RAM is 32739.1 MB
Wed Nov 19 19:31:25 2014  commencing duplicate removal, pass 1
Wed Nov 19 19:38:47 2014  found 7344733 hash collisions in 50916091 relations
Wed Nov 19 19:39:11 2014  added 1218001 free relations
Wed Nov 19 19:39:11 2014  commencing duplicate removal, pass 2
Wed Nov 19 19:39:43 2014  found 6346561 duplicates and 45787531 unique relations
Wed Nov 19 19:39:43 2014  memory use: 213.2 MB
Wed Nov 19 19:39:44 2014  reading ideals above 720000
Wed Nov 19 19:39:44 2014  commencing singleton removal, initial pass
Wed Nov 19 19:48:23 2014  memory use: 1378.0 MB
Wed Nov 19 19:48:24 2014  reading all ideals from disk
Wed Nov 19 19:48:25 2014  memory use: 1636.2 MB
Wed Nov 19 19:48:30 2014  keeping 45615218 ideals with weight <= 200, target excess is 236431
Wed Nov 19 19:48:35 2014  commencing in-memory singleton removal
Wed Nov 19 19:48:40 2014  begin with 45787531 relations and 45615218 unique ideals
Wed Nov 19 19:49:30 2014  reduce to 25484860 relations and 22744655 ideals in 17 passes
Wed Nov 19 19:49:30 2014  max relations containing the same ideal: 147
Wed Nov 19 19:49:44 2014  removing 2805895 relations and 2405895 ideals in 400000 cliques
Wed Nov 19 19:49:45 2014  commencing in-memory singleton removal
Wed Nov 19 19:49:48 2014  begin with 22678965 relations and 22744655 unique ideals
Wed Nov 19 19:50:07 2014  reduce to 22392724 relations and 20046268 ideals in 9 passes
Wed Nov 19 19:50:07 2014  max relations containing the same ideal: 130
Wed Nov 19 19:50:19 2014  removing 2111769 relations and 1711769 ideals in 400000 cliques
Wed Nov 19 19:50:20 2014  commencing in-memory singleton removal
Wed Nov 19 19:50:22 2014  begin with 20280955 relations and 20046268 unique ideals
Wed Nov 19 19:50:37 2014  reduce to 20112938 relations and 18163337 ideals in 8 passes
Wed Nov 19 19:50:37 2014  max relations containing the same ideal: 124
Wed Nov 19 19:50:48 2014  removing 1893201 relations and 1493201 ideals in 400000 cliques
Wed Nov 19 19:50:48 2014  commencing in-memory singleton removal
Wed Nov 19 19:50:50 2014  begin with 18219737 relations and 18163337 unique ideals
Wed Nov 19 19:51:07 2014  reduce to 18077767 relations and 16525399 ideals in 10 passes
Wed Nov 19 19:51:07 2014  max relations containing the same ideal: 116
Wed Nov 19 19:51:16 2014  removing 1779608 relations and 1379608 ideals in 400000 cliques
Wed Nov 19 19:51:17 2014  commencing in-memory singleton removal
Wed Nov 19 19:51:18 2014  begin with 16298159 relations and 16525399 unique ideals
Wed Nov 19 19:51:31 2014  reduce to 16162897 relations and 15007827 ideals in 9 passes
Wed Nov 19 19:51:31 2014  max relations containing the same ideal: 107
Wed Nov 19 19:51:40 2014  removing 1704183 relations and 1304183 ideals in 400000 cliques
Wed Nov 19 19:51:41 2014  commencing in-memory singleton removal
Wed Nov 19 19:51:42 2014  begin with 14458714 relations and 15007827 unique ideals
Wed Nov 19 19:51:52 2014  reduce to 14324099 relations and 13566166 ideals in 8 passes
Wed Nov 19 19:51:52 2014  max relations containing the same ideal: 97
Wed Nov 19 19:52:00 2014  removing 1655318 relations and 1255318 ideals in 400000 cliques
Wed Nov 19 19:52:00 2014  commencing in-memory singleton removal
Wed Nov 19 19:52:01 2014  begin with 12668781 relations and 13566166 unique ideals
Wed Nov 19 19:52:10 2014  reduce to 12529590 relations and 12168276 ideals in 8 passes
Wed Nov 19 19:52:10 2014  max relations containing the same ideal: 90
Wed Nov 19 19:52:17 2014  removing 473188 relations and 386134 ideals in 87054 cliques
Wed Nov 19 19:52:17 2014  commencing in-memory singleton removal
Wed Nov 19 19:52:18 2014  begin with 12056402 relations and 12168276 unique ideals
Wed Nov 19 19:52:25 2014  reduce to 12045111 relations and 11770784 ideals in 7 passes
Wed Nov 19 19:52:25 2014  max relations containing the same ideal: 85
Wed Nov 19 19:52:28 2014  relations with 0 large ideals: 8455
Wed Nov 19 19:52:28 2014  relations with 1 large ideals: 3384
Wed Nov 19 19:52:28 2014  relations with 2 large ideals: 31175
Wed Nov 19 19:52:28 2014  relations with 3 large ideals: 229621
Wed Nov 19 19:52:28 2014  relations with 4 large ideals: 919038
Wed Nov 19 19:52:28 2014  relations with 5 large ideals: 2186092
Wed Nov 19 19:52:28 2014  relations with 6 large ideals: 3204440
Wed Nov 19 19:52:28 2014  relations with 7+ large ideals: 5462906
Wed Nov 19 19:52:28 2014  commencing 2-way merge
Wed Nov 19 19:52:37 2014  reduce to 7725475 relation sets and 7451148 unique ideals
Wed Nov 19 19:52:37 2014  commencing full merge
Wed Nov 19 19:55:13 2014  memory use: 961.0 MB
Wed Nov 19 19:55:14 2014  found 4162855 cycles, need 4125348
Wed Nov 19 19:55:14 2014  weight of 4125348 cycles is about 289034039 (70.06/cycle)
Wed Nov 19 19:55:14 2014  distribution of cycle lengths:
Wed Nov 19 19:55:14 2014  1 relations: 495911
Wed Nov 19 19:55:14 2014  2 relations: 511568
Wed Nov 19 19:55:14 2014  3 relations: 500107
Wed Nov 19 19:55:14 2014  4 relations: 453690
Wed Nov 19 19:55:14 2014  5 relations: 413932
Wed Nov 19 19:55:14 2014  6 relations: 363527
Wed Nov 19 19:55:14 2014  7 relations: 316010
Wed Nov 19 19:55:14 2014  8 relations: 267534
Wed Nov 19 19:55:14 2014  9 relations: 219894
Wed Nov 19 19:55:14 2014  10+ relations: 583175
Wed Nov 19 19:55:14 2014  heaviest cycle: 20 relations
Wed Nov 19 19:55:15 2014  commencing cycle optimization
Wed Nov 19 19:55:21 2014  start with 22323937 relations
Wed Nov 19 19:56:00 2014  pruned 565341 relations
Wed Nov 19 19:56:00 2014  memory use: 726.0 MB
Wed Nov 19 19:56:00 2014  distribution of cycle lengths:
Wed Nov 19 19:56:00 2014  1 relations: 495911
Wed Nov 19 19:56:00 2014  2 relations: 521551
Wed Nov 19 19:56:00 2014  3 relations: 517384
Wed Nov 19 19:56:00 2014  4 relations: 464853
Wed Nov 19 19:56:00 2014  5 relations: 424930
Wed Nov 19 19:56:00 2014  6 relations: 370206
Wed Nov 19 19:56:00 2014  7 relations: 321118
Wed Nov 19 19:56:00 2014  8 relations: 267734
Wed Nov 19 19:56:00 2014  9 relations: 217411
Wed Nov 19 19:56:00 2014  10+ relations: 524250
Wed Nov 19 19:56:00 2014  heaviest cycle: 19 relations
Wed Nov 19 19:56:04 2014  RelProcTime: 1479
Wed Nov 19 19:56:04 2014  elapsed time 00:24:43
<...snipped...>
Wed Nov 19 20:07:16 2014  commencing linear algebra
Wed Nov 19 20:07:18 2014  read 4124536 cycles
Wed Nov 19 20:07:25 2014  cycles contain 11887585 unique relations
Wed Nov 19 20:09:17 2014  read 11887585 relations
Wed Nov 19 20:09:36 2014  using 20 quadratic characters above 536870814
Wed Nov 19 20:10:38 2014  building initial matrix
Wed Nov 19 20:12:49 2014  memory use: 1557.2 MB
Wed Nov 19 20:12:52 2014  read 4124536 cycles
Wed Nov 19 20:12:53 2014  matrix is 4124359 x 4124536 (1235.8 MB) with weight 372380627 (90.28/col)
Wed Nov 19 20:12:53 2014  sparse part has weight 278600479 (67.55/col)
Wed Nov 19 20:13:19 2014  filtering completed in 1 passes
Wed Nov 19 20:13:20 2014  matrix is 4124359 x 4124536 (1235.8 MB) with weight 372380627 (90.28/col)
Wed Nov 19 20:13:20 2014  sparse part has weight 278600479 (67.55/col)
Wed Nov 19 20:13:27 2014  matrix starts at (0, 0)
Wed Nov 19 20:13:28 2014  matrix is 4124359 x 4124536 (1235.8 MB) with weight 372380627 (90.28/col)
Wed Nov 19 20:13:28 2014  sparse part has weight 278600479 (67.55/col)
Wed Nov 19 20:13:28 2014  saving the first 48 matrix rows for later
Wed Nov 19 20:13:30 2014  matrix includes 64 packed rows
Wed Nov 19 20:13:30 2014  matrix is 4124311 x 4124536 (1180.9 MB) with weight 294484592 (71.40/col)
Wed Nov 19 20:13:30 2014  sparse part has weight 268333552 (65.06/col)
Wed Nov 19 20:13:30 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Wed Nov 19 20:13:50 2014  commencing Lanczos iteration (12 threads)
Wed Nov 19 20:13:50 2014  memory use: 960.6 MB
Wed Nov 19 20:14:01 2014  linear algebra at 0.0%, ETA 7h34m
Wed Nov 19 20:14:04 2014  checkpointing every 560000 dimensions
Thu Nov 20 03:32:36 2014  lanczos halted after 65226 iterations (dim = 4124308)
Thu Nov 20 03:32:42 2014  recovered 32 nontrivial dependencies
Thu Nov 20 03:32:43 2014  BLanczosTime: 26727
Thu Nov 20 03:32:43 2014  
Thu Nov 20 03:32:43 2014  commencing square root phase
Thu Nov 20 03:32:43 2014  reading relations for dependency 1
Thu Nov 20 03:32:44 2014  read 2061729 cycles
Thu Nov 20 03:32:48 2014  cycles contain 5946400 unique relations
Thu Nov 20 03:33:48 2014  read 5946400 relations
Thu Nov 20 03:34:21 2014  multiplying 5946400 relations
Thu Nov 20 03:41:09 2014  multiply complete, coefficients have about 174.72 million bits
Thu Nov 20 03:41:10 2014  initial square root is modulo 1862797
Thu Nov 20 03:48:17 2014  found factor: 372087241278843982949243226054815806439646297915304674491
Thu Nov 20 03:48:17 2014  reading relations for dependency 2
Thu Nov 20 03:48:18 2014  read 2061265 cycles
Thu Nov 20 03:48:21 2014  cycles contain 5940286 unique relations
Thu Nov 20 03:49:22 2014  read 5940286 relations
Thu Nov 20 03:49:55 2014  multiplying 5940286 relations
Thu Nov 20 03:56:42 2014  multiply complete, coefficients have about 174.53 million bits
Thu Nov 20 03:56:43 2014  initial square root is modulo 1834981
Thu Nov 20 04:03:59 2014  GCD is N, no factor found
Thu Nov 20 04:03:59 2014  reading relations for dependency 3
Thu Nov 20 04:04:00 2014  read 2062102 cycles
Thu Nov 20 04:04:04 2014  cycles contain 5942208 unique relations
Thu Nov 20 04:05:04 2014  read 5942208 relations
Thu Nov 20 04:05:37 2014  multiplying 5942208 relations
Thu Nov 20 04:12:26 2014  multiply complete, coefficients have about 174.59 million bits
Thu Nov 20 04:12:27 2014  initial square root is modulo 1843549
Thu Nov 20 04:19:35 2014  GCD is N, no factor found
Thu Nov 20 04:19:35 2014  reading relations for dependency 4
Thu Nov 20 04:19:36 2014  read 2061758 cycles
Thu Nov 20 04:19:39 2014  cycles contain 5943316 unique relations
Thu Nov 20 04:20:39 2014  read 5943316 relations
Thu Nov 20 04:21:13 2014  multiplying 5943316 relations
Thu Nov 20 04:27:59 2014  multiply complete, coefficients have about 174.62 million bits
Thu Nov 20 04:28:00 2014  initial square root is modulo 1847341
Thu Nov 20 04:35:08 2014  GCD is N, no factor found
Thu Nov 20 04:35:08 2014  reading relations for dependency 5
Thu Nov 20 04:35:09 2014  read 2060179 cycles
Thu Nov 20 04:35:12 2014  cycles contain 5941776 unique relations
Thu Nov 20 04:36:13 2014  read 5941776 relations
Thu Nov 20 04:36:47 2014  multiplying 5941776 relations
Thu Nov 20 04:43:37 2014  multiply complete, coefficients have about 174.58 million bits
Thu Nov 20 04:43:38 2014  initial square root is modulo 1841599
Thu Nov 20 04:50:48 2014  GCD is 1, no factor found
Thu Nov 20 04:50:48 2014  reading relations for dependency 6
Thu Nov 20 04:50:49 2014  read 2062224 cycles
Thu Nov 20 04:50:52 2014  cycles contain 5942524 unique relations
Thu Nov 20 04:51:53 2014  read 5942524 relations
Thu Nov 20 04:52:30 2014  multiplying 5942524 relations
Thu Nov 20 04:59:19 2014  multiply complete, coefficients have about 174.60 million bits
Thu Nov 20 04:59:20 2014  initial square root is modulo 1844581
Thu Nov 20 05:06:32 2014  sqrtTime: 5629
Thu Nov 20 05:06:32 2014  prp57 factor: 372087241278843982949243226054815806439646297915304674491
Thu Nov 20 05:06:32 2014  prp63 factor: 175257149351276364256589825979713740684008170509351667938036279
Thu Nov 20 05:06:32 2014  prp96 factor: 996109790421796587284358854497986945564853822323275700845474824519913830848988760379005921272913
Thu Nov 20 05:06:32 2014  elapsed time 08:59:20

GGNFS (SVN 440), msieve 1.53 (SVN 965)

235284074945809029581674359988302692970798021285962596516588014194791144557146304270877298607878430821624611620902680783752405812122296637221531849276165678766726661870919152430751820572543517845518574897<204>

14566422151534576081407965543578168978788009982617498456659<59>
16152495959415936303021113226025762549089499576337954671940584068051788359662958581956430569856223358298734423522789165370484767758954185008955883<146>

Number: n
N=235284074945809029581674359988302692970798021285962596516588014194791144557146304270877298607878430821624611620902680783752405812122296637221531849276165678766726661870919152430751820572543517845518574897
  ( 204 digits)
SNFS difficulty: 218 digits.
Divisors found:

Tue Oct  8 14:39:33 2019  p59 factor: 14566422151534576081407965543578168978788009982617498456659
Tue Oct  8 14:39:33 2019  p146 factor: 16152495959415936303021113226025762549089499576337954671940584068051788359662958581956430569856223358298734423522789165370484767758954185008955883
Tue Oct  8 14:39:33 2019  elapsed time 07:09:20 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 76x10^217-31 = 84(216)1
#
n: 235284074945809029581674359988302692970798021285962596516588014194791144557146304270877298607878430821624611620902680783752405812122296637221531849276165678766726661870919152430751820572543517845518574897
m: 1000000000000000000000000000000000000
deg: 6
c6: 760
c0: -31
skew: 0.59
# Murphy_E = 2.656e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 48300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11092653 hash collisions in 62376577 relations (53399951 unique)
Msieve: matrix is 4014835 x 4015060 (1403.1 MB)

Sieving start time: 2019/10/07 10:34:25
Sieving end time  : 2019/10/08 07:29:19

Total sieving time: 20hrs 54min 54secs.

Total relation processing time: 6hrs 41min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 22sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.90 BogoMIPS (lpj=11977816)
[    0.078218] smpboot: Total of 16 processors activated (95822.52 BogoMIPS)

10802849526563155261269059194949650617413242673382276019697882420654880203316424166333802967362512085826353615984160154078424616214512328243933111506306384305822461262651474202131011189830646392043<197>

536969044151011643087036350822549<33>

20118197956165743386797943180058958480113403515798542443966720737508953773624810942664323488737484030602213912875179098989645320733111576128121938230122605087655807<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2657242166
Step 1 took 11576ms
Step 2 took 6739ms
********** Factor found in step 2: 536969044151011643087036350822549
Found probable prime factor of 33 digits: 536969044151011643087036350822549
Composite cofactor 20118197956165743386797943180058958480113403515798542443966720737508953773624810942664323488737484030602213912875179098989645320733111576128121938230122605087655807 has 164 digits

GMP-ECM 6.3

5133823378087645572161507711297566220069733159781237258717912273487045247056865599653516568786217678905895917757456053528521010890533851867670959961776293372525560179437741453962918017383125473550721<199>

2878498101169327871032202936082014612045540749102537897<55>
1783507647964798160261831895190303205088460357947253528187621118908921162551007589296874747269601645774613844165442270974953951572683386336627993<145>

Number: 84441_219
N = 5133823378087645572161507711297566220069733159781237258717912273487045247056865599653516568786217678905895917757456053528521010890533851867670959961776293372525560179437741453962918017383125473550721 (199 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2878498101169327871032202936082014612045540749102537897 (pp55)
r2=1783507647964798160261831895190303205088460357947253528187621118908921162551007589296874747269601645774613844165442270974953951572683386336627993 (pp145)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.44 hours.
Factorization parameters were as follows:
n: 5133823378087645572161507711297566220069733159781237258717912273487045247056865599653516568786217678905895917757456053528521010890533851867670959961776293372525560179437741453962918017383125473550721
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 38
c0: -155
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8722594 relations
Pruned matrix : 7426739 x 7426965
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.48 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 41.34 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 82.44 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

3575742228206061886358239951895584142084048581933926673611719786886100341558767061047081608691940026204803197580541494345481553505947286103236354221088129<154>

514354378043984826238854086656799887<36>
6951903941799992999085471897130711805759754065189403048067938299331031917818892720267243121214895133195777075595261167<118>

prp36 = 514354378043984826238854086656799887
 (curve 44 stg2 B1=250000 sigma=2322522251 thread=3)

yafu 1.30

i7 2600 fedora x86-64 

24826110260109342415605153692113534948176048894734012302428420555791389896066887773239088544578737772081278524274718207060022306636214514077843400467383902494863751349097509346590692572111336736029485097419<206>

2798750181594582729550874311517254113427373146829396544910064415835255435417072326959812672774991449<100>
8870427386971963357088402486862022416020648448824645405395029464999624736703702568330845434504027045262531<106>

Number: 84441_221
N = 24826110260109342415605153692113534948176048894734012302428420555791389896066887773239088544578737772081278524274718207060022306636214514077843400467383902494863751349097509346590692572111336736029485097419 (206 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2798750181594582729550874311517254113427373146829396544910064415835255435417072326959812672774991449 (pp100)
r2=8870427386971963357088402486862022416020648448824645405395029464999624736703702568330845434504027045262531 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.13 hours.
Factorization parameters were as follows:
n: 24826110260109342415605153692113534948176048894734012302428420555791389896066887773239088544578737772081278524274718207060022306636214514077843400467383902494863751349097509346590692572111336736029485097419
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 760
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36683430
Relations: 7701994 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.06 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 7040009 x 7040234
Matrix solve time: 26.38 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 54.13 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

42655747375688946664480936196956364784625939047410066617243975501758870328536147850403632527216595550481238617635528318635751007549373676086434899336671064705607985519296963380429368433377052492863<197>

852531978621701582367918011069611<33>
50034190441338038928791148952648540581821208696954421839336557346717443596304405912074347664751724733306959703072518168504972871110609791157409429882576708735788733<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4070007948
Step 1 took 27257ms
Step 2 took 9956ms
********** Factor found in step 2: 852531978621701582367918011069611
Found probable prime factor of 33 digits: 852531978621701582367918011069611

397477274498328764959658671620488698308995695216517900336757390854570910207268708758464043212055694934099836877418531541129222476921475749440786084529818379035374954433937446490929411697023993506476526090460597711681491<219>

4702309503011090058565765985290367651258456025058631712107233258868661768659354758572104797330094415546727931<109>

21909034712219580488702587448763866493846412581067<50>
214628785100624097502398823453062028769912899255268368546193<60>

N = 4702309503011090058565765985290367651258456025058631712107233258868661768659354758572104797330094415546727931 (109 digits)
Divisors found:
r1=21909034712219580488702587448763866493846412581067 (pp50)
r2=214628785100624097502398823453062028769912899255268368546193 (pp60)
Version: Msieve v. 1.48
Total time: 4.56 hours.
Factorization parameters were as follows:
n: 4702309503011090058565765985290367651258456025058631712107233258868661768659354758572104797330094415546727931
Y0: -1025796665348132324412
Y1: 179565269999
c0: -13274770657168946474443895
c1: -3959815368298155233889
c2: -91662910834385797
c3: -17385740340603
c4: 242607660
c5: 4140
skew: 34740.41  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7579320
Relations: 595580 relations
Pruned matrix : 351249 x 351481
Polynomial selection time: 0.00 hours.
Total sieving time: 4.36 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,108,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 4.56 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

136247086791692506842900566736346765469845483471381830988378054169687073838508785825751070440367402022634218495019338198046081724277687717798010483984303126626939555780299958707660713<183>

46220276105333576597944414036368059356565103691540473149668551967402542115185793346712886942772000243264611080703034726023231770358207139816335218634069208781852460013379553609438666909931277747369701392689898437024873806483<224>

849764141481885518387247649768305300557491<42>

54391888112307287156853614456839368140369255296701929707612616952104064995368567641023008177938461003269459549795001386485806882829772771208014555529700488122164790774176742934910113<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1651078474
Step 1 took 30898ms
Step 2 took 11324ms
********** Factor found in step 2: 849764141481885518387247649768305300557491
Found probable prime factor of 42 digits: 849764141481885518387247649768305300557491

120659847629833214930110364748638828222484365130753686627241309005807837124828472081265985758698745327317540268516684551322718972061027379664269806491653942842059514237997161117490305688209037956819826104044994572307<216>

807075637211949023896625919224836191167<39>

149502527478903814514324395377760719677620657006467049318264339516273331169817974048637191103566330491343773248572785434121582266476801524341016650028015318362197741026558773421<177>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=532403692
Step 1 took 621033ms
Step 2 took 143947ms
********** Factor found in step 2: 807075637211949023896625919224836191167
Found probable prime factor of 39 digits: 807075637211949023896625919224836191167

3442660300046889193614277470458278965655374223157097447039433912465720787048703298438320648942832749089327731655577448577624232773161981336561033113064252673571123784704089572668615575042411317<193>

11742428570151391444312996737641<32>

293181285240937518889766707411358858359606722467677366948604047383453509362555308624626902937661418298021905383927092251991124253241923675488097674563220931174637<162>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2403435604
Step 1 took 9309ms
Step 2 took 6796ms
********** Factor found in step 2: 11742428570151391444312996737641
Found probable prime factor of 32 digits: 11742428570151391444312996737641
Composite cofactor 293181285240... has 162 digits

846637761931339676609172736451916718135925413805505241642731606809539622014296612767853990690817509675451842984515717117002866530525805394072410567313988335357980994964918009191386499403<186>

277652361264843543664295975209523947494465674613306985754218834752066360099187601960019095487649782380849486521980248765078175901524720949275723637076650561039469142770964486976131019280131865967364104719688432013861<216>

22320227557460706810055646029319912974475026159580937978170420418435172963000933382522426644968506262320909929489902796459834533156611828507577461435367732880869123784636268534270799028847<188>

1198219907236198013931796038694076723<37>

18627822341012777189015679225240876870567488979246049200347756876962555009999906047247928021766720935447421623448780813185670712140563200781628796293589<152>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2446426971
Step 1 took 356825ms
********** Factor found in step 1: 1198219907236198013931796038694076723
Found probable prime factor of 37 digits: 1198219907236198013931796038694076723

18627822341012777189015679225240876870567488979246049200347756876962555009999906047247928021766720935447421623448780813185670712140563200781628796293589<152>

325295628394633732693110948898762251969694639696018808528110427807<66>
57264287358987676645096023545013795440974628228773316660892024520648147053137413660427<86>

Number: 84441_234
N = 18627822341012777189015679225240876870567488979246049200347756876962555009999906047247928021766720935447421623448780813185670712140563200781628796293589 (152 digits)
Divisors found:
r1=325295628394633732693110948898762251969694639696018808528110427807 (pp66)
r2=57264287358987676645096023545013795440974628228773316660892024520648147053137413660427 (pp86)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 221.54 hours.
Factorization parameters were as follows:
n: 18627822341012777189015679225240876870567488979246049200347756876962555009999906047247928021766720935447421623448780813185670712140563200781628796293589
# norm 1.025062e-14 alpha -7.919745 e 3.894e-12 rroots 5
skew: 52635418.73
c0: 56082478212552986950551178027181238984295
c1: 2396596436449754675413914845913183
c2: -248979622696103633304090683
c3: -2943308172104421543
c4: 103340474452
c5: 264
Y0: -588452547763555012454374569858
Y1: 3194477144107693
type: gnfs
Factor base limits: 23100000/23100000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 51074252
Relations: 6095046 relations
Pruned matrix : 3971011 x 3971238
Total sieving time: 211.45 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 9.26 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,151,5,65,2000,1e-05,0.28,250,20,50000,3600,23100000,23100000,29,29,58,58,2.6,2.6,100000
total time: 221.54 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

1301478158170748414657542142400152983840217406242046220024188312461414205162808081924734622219855037327118929630846672414567377284114846794930208418098044154692074339388371260228198674533693189<193>

244818324125756721675402850947075191644405473897918288349461954129554159271163924159195248425919676622126473705740977962811964730034840679159377225122783749531419440826925476452502773919<186>

66441727039281828723957515149357<32>

3684707412572443762589666807832855950005010312198583877739474037257638042472412874532077640954207834448909481881896117281790141369487923949956392046131067<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733348253
Step 1 took 23895ms
Step 2 took 9261ms
********** Factor found in step 2: 66441727039281828723957515149357
Found probable prime factor of 32 digits: 66441727039281828723957515149357

3684707412572443762589666807832855950005010312198583877739474037257638042472412874532077640954207834448909481881896117281790141369487923949956392046131067<154>

453385588343976179547157349626581193384463<42>
3236456429355891776974360012276701109355038553276263<52>
2511108812165640630778048143263115486987340577348568759795043<61>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=180101972
Step 1 took 239754ms
Step 2 took 72279ms
********** Factor found in step 2: 453385588343976179547157349626581193384463
Found probable prime factor of 42 digits: 453385588343976179547157349626581193384463
Composite cofactor 8127094259945724009722833448650628916979089311358113342976098944030041975930314272100163109821371294580036964309 has 112 digits

N=8127094259945724009722833448650628916979089311358113342976098944030041975930314272100163109821371294580036964309
  ( 112 digits)
Divisors found:
 r1=3236456429355891776974360012276701109355038553276263 (pp52)
 r2=2511108812165640630778048143263115486987340577348568759795043 (pp61)
Version: Msieve v. 1.48
Total time: 0.30 hours.
Scaled time: 0.41 units (timescale=1.367).
Factorization parameters were as follows:
n: 8127094259945724009722833448650628916979089311358113342976098944030041975930314272100163109821371294580036964309
skew: 83319.86
c0: -7365189897396424166020108560
c1:  465764593470289233694068
c2:  15171558456643301908
c3: -68781762630329
c4: -2250242996
c5:  7980
Y0: -3995665681465877452979
Y1:  434328524869
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.500000
alambda: 2.500000
qintsize: 200000
type: gnfs
Factor base limits: 3720000/3720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1860000, 3060001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 339174 x 339399
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3720000,3720000,26,26,52,52,2.500000,2.500000,100000
total time: 0.30 hours.
 --------- CPU info (if available) ----------

1631242093293233996042994208132959012525575026765032795356477806221134318380590799140127226593924691993157075231891310465793494192968385759748479940810446022317878475414585394215573103<184>

43310899510561007815655057113060512626356537573724895705409371851632122216825494953822952501618433165110733769641883767020242535420873823722241039959561028420408730784048813306793467<182>

1624455764984709768628820355011<31>

26661790640367897468304551940198878581659200847537481674448545999507175035674172465213389936810749726664247188731794240269273398842885194496415084123497<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3571899947
Step 1 took 23281ms
Step 2 took 8975ms
********** Factor found in step 2: 1624455764984709768628820355011
Found probable prime factor of 31 digits: 1624455764984709768628820355011

26661790640367897468304551940198878581659200847537481674448545999507175035674172465213389936810749726664247188731794240269273398842885194496415084123497<152>

87730153254871038798877206481545737540822603<44>
303906805712636272254949738155460725188661648538773680104733451578399568505472516143184300575226850536108699<108>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1995649030
Step 1 took 240476ms
Step 2 took 71824ms
********** Factor found in step 2: 87730153254871038798877206481545737540822603
Found probable prime factor of 44 digits: 87730153254871038798877206481545737540822603

2052109829184832250016049051447319837245840976251008280875823550590284653611398287005802327851340906385984095698979741836650463971596320151362022515122072260273239217598446967169481016356027906739852344773673091804450876145469919449<232>

12223627016610599802380960893504359413<38>

167880599301355874196533474563233328791609748870562465891327662165947809454338404364769210243989871411770501663245485189018673235498332623048287970590213795329830839416034203697511090391828457173<195>

prp38 = 12223627016610599802380960893504359413 
(curve 138 stg2 B1=1000000 sigma=4252741053 thread=5)

GMP-ECM