320168278984806550631540855094563858596255377566714042276093831735771608620605463361630935228187638716394639828145755590158879<126>

2933276055435097150496053520245973899417083587<46>
109150408258221546428199289249059666027298203143441744801893598785485031825721717<81>

Number: 77773_158
N=320168278984806550631540855094563858596255377566714042276093831735771608620605463361630935228187638716394639828145755590158879
  ( 126 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=2933276055435097150496053520245973899417083587 (pp46)
 r2=109150408258221546428199289249059666027298203143441744801893598785485031825721717 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 33.67 hours.
Scaled time: 72.19 units (timescale=2.144).
Factorization parameters were as follows:
n: 320168278984806550631540855094563858596255377566714042276093831735771608620605463361630935228187638716394639828145755590158879
m: 20000000000000000000000000000000
c5: 875
c0: -172
skew: 0.72
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:283557, largePrimes:5672154 encountered
Relations: rels:5680276, finalFF:635478
Max relations in full relation-set: 28
Initial matrix: 566770 x 635478 with sparse part having weight 40948383.
Pruned matrix : 518482 x 521379 with weight 30154788.
Total sieving time: 31.82 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 33.67 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

12898470609913395983047724341256679565137276580062649714391007923346231803943246729316381057674590012898470609913395983047724341256679565137276580062649714391<158>

7569214186545777793665631319644598306342954210369<49>
1704069972394272056243610341411329237778860200857566090684279076415414313907033462129726700942953362876790039<109>

Number: n
N=12898470609913395983047724341256679565137276580062649714391007923346231803943246729316381057674590012898470609913395983047724341256679565137276580062649714391
  ( 158 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=7569214186545777793665631319644598306342954210369 (pp49)
 r2=1704069972394272056243610341411329237778860200857566090684279076415414313907033462129726700942953362876790039 (pp109)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 41.13 hours.
Scaled time: 59.28 units (timescale=1.441).
Factorization parameters were as follows:
name: KA_7_159_3
n: 12898470609913395983047724341256679565137276580062649714391007923346231803943246729316381057674590012898470609913395983047724341256679565137276580062649714391
skew: 1.44
deg: 5
c5: 7
c0: -43
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1900001)
Primes: RFBsize:250150, AFBsize:250336, largePrimes:7244344 encountered
Relations: rels:6806415, finalFF:586324
Max relations in full relation-set: 28
Initial matrix: 500553 x 586324 with sparse part having weight 39447333.
Pruned matrix : 427427 x 429993 with weight 24457695.
Total sieving time: 36.21 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.58 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 41.13 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4754240219491080788312230946104229406177747980744173052452025549226149029482922498597241709937906716835807695523262461778588861036905275229358141171<148>

6711531394644396265684065465544051167200478004582667<52>
708368916114260301416021742929112249942005710589804708659563255988563220760762909875017169699513<96>

Number: n
N=4754240219491080788312230946104229406177747980744173052452025549226149029482922498597241709937906716835807695523262461778588861036905275229358141171
  ( 148 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=6711531394644396265684065465544051167200478004582667 (pp52)
 r2=708368916114260301416021742929112249942005710589804708659563255988563220760762909875017169699513 (pp96)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 68.29 hours.
Scaled time: 98.61 units (timescale=1.444).
Factorization parameters were as follows:
name: KA_7_163_3
n: 4754240219491080788312230946104229406177747980744173052452025549226149029482922498597241709937906716835807695523262461778588861036905275229358141171
skew: 1.00
deg: 5
c5: 7
c0: -430
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3100001)
Primes: RFBsize:250150, AFBsize:249976, largePrimes:7609891 encountered
Relations: rels:7117769, finalFF:563963
Max relations in full relation-set: 28
Initial matrix: 500191 x 563963 with sparse part having weight 43297342.
Pruned matrix : 456543 x 459107 with weight 32040185.
Total sieving time: 61.30 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 6.64 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 68.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

198794468972440002262781217058373647005948775544979737520906564346371255933288289716942576792483406992007045085422860329791701937<129>

14538253415215247868020585242079<32>
13673889379613398816674163054944244938766219062696794576223016527492008237104180821858195847688303<98>

Using B1=3524099, B2=5707365310, polynomial Dickson(6), sigma=3214063033
Step 1 took 81808ms
Step 2 took 31415ms
********** Factor found in step 2: 14538253415215247868020585242079
Found probable prime factor of 32 digits: 14538253415215247868020585242079
Probable prime cofactor 13673889379613398816674163054944244938766219062696794576223016527492008237104180821858195847688303 has 98 digits

GMP-ECM 6.1.1 [powered by GMP 4.2.1] [ECM]

P4M 1.5 GHz , win XP, tuned msys ecm build

13918606253561161575326480326670589848897307264011125512703400621326768654931893885985154665255021972164055835992794543434899549608431616720059503<146>

47278220151991681544364704654234008633<38>
294397847651944968902502340312163444716371421074662099661707779901800819546932063167621491168426789665148391<108>

Using B1=3631011, B2=8561127130, polynomial Dickson(6), sigma=2111397274
Step 1 took 106813ms
Step 2 took 46387ms
********** Factor found in step 2: 47278220151991681544364704654234008633
Found probable prime factor of 38 digits: 47278220151991681544364704654234008633
Probable prime cofactor 294397847651944968902502340312163444716371421074662099661707779901800819546932063167621491168426789665148391 has 108 digits

GMP-ECM 6.1.1 [powered by GMP 4.2.1] [ECM]

P4M ,xp,msys

152982852110583007749217430971946194715791768334972424392885857660431538006787687423417194008938871096655368030705266924010486642320844453629534885163848229707459<162>

5632442647674936588605121832519<31>

27161013734198267779787441623856865261526769714349621384721227945530504045181223735394220143911476359430775105460879711466662180261<131>

Using B1=3488786, B2=5707365310, polynomial Dickson(6), sigma=2671258344
Step 1 took 113483ms
Step 2 took 39827ms
********** Factor found in step 2: 5632442647674936588605121832519
Found probable prime factor of 31 digits: 5632442647674936588605121832519
Composite cofactor 27161013734198267779787441623856865261526769714349621384721227945530504045181223735394220143911476359430775105460879711466662180261 has 131 digits

Cofactor is still COMPOSITE

GMP-ECM 6.1.1 [powered by GMP 4.2.1] [ECM]

27161013734198267779787441623856865261526769714349621384721227945530504045181223735394220143911476359430775105460879711466662180261<131>

165855014904250974498183632926088661986783788509769529269<57>
163763596475382264171981673046491009331053941417905993150662041160894520369<75>

Number: 77773_169
N=27161013734198267779787441623856865261526769714349621384721227945530504045181223735394220143911476359430775105460879711466662180261
  ( 131 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=165855014904250974498183632926088661986783788509769529269 (pp57)
 r2=163763596475382264171981673046491009331053941417905993150662041160894520369 (pp75)
Version: Msieve-1.39
Total time: 49.96 hours.
Scaled time: 128.45 units (timescale=2.571).
Factorization parameters were as follows:
n: 27161013734198267779787441623856865261526769714349621384721227945530504045181223735394220143911476359430775105460879711466662180261
m: 5000000000000000000000000000000000
deg: 5
c5: 112
c0: -215
skew: 1.14
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 908762 x 909010
Total sieving time: 49.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 49.96 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

25831460162057245643479194959887479258819971644731811596445169146444816776371088820041555470784241127055632767294007532313502650098672074713696033593097<152>

121495956675387278043299989858967591123701<42>
7068538249965126094045281972629883093163147<43>
30078593090070246841437934832118520753770865013385674443419876087151<68>

#Using B1=10470059, B2=35133391030, polynomial Dickson(12), sigma=1360270203
#Step 1 took 303647ms
#Step 2 took 118611ms
#********** Factor found in step 2: 121495956675387278043299989858967591123701
#Found probable prime factor of 42 digits: 121495956675387278043299989858967591123701
#Composite cofactor 212611685762298276958972386069141940686354951908507260591826349732978183857235412966067038817644031962033424197 has 111 digits

#N=212611685762298276958972386069141940686354951908507260591826349732978183857235412966067038817644031962033424197
#  ( 111 digits)
#Divisors found:
# r1=7068538249965126094045281972629883093163147 (pp43)
# r2=30078593090070246841437934832118520753770865013385674443419876087151 (pp68)
# Version: GGNFS-0.77.1-20060722-pentium-m

410974002340459837301619727694943026783087447223067592179589605850944552356524167833409541682357311687663651792434473222700666641879648955703669<144>

2473302413612770799643152842693818608929<40>
48717161252159813125322496014384853177479<41>
3410791362646423058561965131274823744860566964407906465017976259<64>

Using B1=3985653, B2=8561602150, polynomial Dickson(6), sigma=1027518899
Step 1 took 103819ms
Step 2 took 45095ms
********** Factor found in step 2: 2473302413612770799643152842693818608929
Found probable prime factor of 40 digits: 2473302413612770799643152842693818608929

Msieve v. 1.15
Thu Jan 18 12:37:58 2007  random seeds: 1cc05034 008c3284
Thu Jan 18 12:37:58 2007  factoring 166164072811519690832461794293729536181397138309018877229323442903299839132241567459806526348130335471061 (105 digits)
Thu Jan 18 12:37:59 2007  using multiplier of 5
Thu Jan 18 12:37:59 2007  sieve interval: 9 blocks of size 65536
Thu Jan 18 12:37:59 2007  processing polynomials in batches of 6
Thu Jan 18 12:37:59 2007  using a sieve bound of 3877483 (137335 primes)
Thu Jan 18 12:37:59 2007  using large prime bound of 581622450 (29 bits)
Thu Jan 18 12:37:59 2007  using double large prime bound of 5975222047534050 (44-53 bits)
Thu Jan 18 12:37:59 2007  using trial factoring cutoff of 60 bits
Thu Jan 18 12:37:59 2007  polynomial 'A' values have 14 factors
Thu Jan 18 12:38:05 2007  restarting with 28567 full and 1880708 partial relations
Thu Jan 18 17:57:13 2007  137489 relations (31331 full + 106158 combined from 2063696 partial), need 137431
Thu Jan 18 17:58:20 2007  begin with 2095027 relations
Thu Jan 18 17:58:39 2007  reduce to 368362 relations in 12 passes
Thu Jan 18 17:58:39 2007  attempting to read 368362 relations
Thu Jan 18 17:59:35 2007  recovered 368362 relations
Thu Jan 18 17:59:36 2007  recovered 362031 polynomials
Thu Jan 18 17:59:36 2007  attempting to build 137489 cycles
Thu Jan 18 17:59:36 2007  found 137489 cycles in 6 passes
Thu Jan 18 17:59:36 2007  distribution of cycle lengths:
Thu Jan 18 17:59:36 2007     length 1 : 31331
Thu Jan 18 17:59:36 2007     length 2 : 22747
Thu Jan 18 17:59:36 2007     length 3 : 22468
Thu Jan 18 17:59:36 2007     length 4 : 19018
Thu Jan 18 17:59:36 2007     length 5 : 14682
Thu Jan 18 17:59:36 2007     length 6 : 10283
Thu Jan 18 17:59:36 2007     length 7 : 6972
Thu Jan 18 17:59:36 2007     length 9+: 9988
Thu Jan 18 17:59:36 2007  largest cycle: 25 relations
Thu Jan 18 17:59:38 2007  matrix is 137335 x 137489 with weight 9928481 (avg 72.21/col)
Thu Jan 18 17:59:39 2007  filtering completed in 3 passes
Thu Jan 18 17:59:39 2007  matrix is 135618 x 135682 with weight 9726461 (avg 71.69/col)
Thu Jan 18 17:59:40 2007  saving the first 48 matrix rows for later
Thu Jan 18 17:59:41 2007  matrix is 135570 x 135682 with weight 7744943 (avg 57.08/col)
Thu Jan 18 17:59:41 2007  matrix includes 32 packed rows
Thu Jan 18 18:14:22 2007  lanczos halted after 2145 iterations
Thu Jan 18 18:14:24 2007  recovered 16 nontrivial dependencies
Thu Jan 18 18:14:25 2007  prp41 factor: 48717161252159813125322496014384853177479
Thu Jan 18 18:14:25 2007  prp64 factor: 3410791362646423058561965131274823744860566964407906465017976259

GMP-ECM 6.1.1 [powered by GMP 4.2.1] [ECM]
Msieve v. 1.15

p4M 1.5 xp msys

88587247817484644577061016982988539963847033132665159975288109347052666063620911992998640504354449983312897811644261570375102277499830006284946857<146>

1684109493826672636928080591712280253<37>
52601833872567659626851043826581619661581030085497192629117169385792946029809296953983334314216888134146219869<110>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1327331391
Step 1 took 16281ms
Step 2 took 11045ms
********** Factor found in step 2: 1684109493826672636928080591712280253
Found probable prime factor of 37 digits: 1684109493826672636928080591712280253
Probable prime cofactor 52601833872567659626851043826581619661581030085497192629117169385792946029809296953983334314216888134146219869 has 110 digits

GMP-ECM 6.2.1

99243890892818525257757099486749168779709129287517878619947908485429606390314043914415323816305774703347821779218335872529329446756081<134>

59768195256934827918992906434416007822747135583378717<53>
1660479967082549350076027500591027695979166379603958880084664687018341548117976293<82>

Number: 2
N=99243890892818525257757099486749168779709129287517878619947908485429606390314043914415323816305774703347821779218335872529329446756081
  ( 134 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=59768195256934827918992906434416007822747135583378717 (pp53)
r2=1660479967082549350076027500591027695979166379603958880084664687018341548117976293 (pp82)
Version: Msieve v. 1.41
Total time: 142.93 hours.
Scaled time: 284.15 units (timescale=1.988).
Factorization parameters were as follows:
n: 99243890892818525257757099486749168779709129287517878619947908485429606390314043914415323816305774703347821779218335872529329446756081
m: 500000000000000000000000000000000000
deg: 5
c5: 112
c0: -215
skew: 1.14
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1233288 x 1233536
Total sieving time: 140.43 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 142.93 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve 1.41

210527218102425973724818558615766578439790005099467290507542270053221747074507541204557915603489023170770125680574714982426615122728763<135>

2741369082874657399663051277237026829017586667572935865244850717<64>
76796378648023087638003648915673883503681198485916992643055270266992439<71>

Number: 777
N=210527218102425973724818558615766578439790005099467290507542270053221747074507541204557915603489023170770125680574714982426615122728763
  ( 135 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=2741369082874657399663051277237026829017586667572935865244850717 (pp64)
r2=76796378648023087638003648915673883503681198485916992643055270266992439 (pp71)
Version: Msieve v. 1.41
Total time: 158.15 hours.
Scaled time: 313.46 units (timescale=1.982).
Factorization parameters were as follows:
n: 210527218102425973724818558615766578439790005099467290507542270053221747074507541204557915603489023170770125680574714982426615122728763
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -43
skew: 1.44
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor 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, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1283421 x 1283669
Total sieving time: 155.28 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.33 hours.
Time per square root: 0.27 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: 158.15 hours.
 --------- CPU info (if available) ----------

GGNFS/Msieve

672348299464769410929203325396033211899628365193982084404267706761371318132456613648027413394395528648846493009113280908299294228905647197944849846812172309<156>

64777876741657802572555583806019627<35>
10379288937582466970916981607412631488017397024321519329007965704922134757985272848817679210368742928554294200964291659967<122>

#Using B1=10627825, B2=35133391030, polynomial Dickson(12), sigma=3454429471
#Step 1 took 344475ms
#Step 2 took 126472ms
#********** Factor found in step 2: 64777876741657802572555583806019627
#Found probable prime factor of 35 digits: 64777876741657802572555583806019627
#Probable prime cofactor 10379288937582466970916981607412631488017397024321519329007965704922134757985272848817679210368742928554294200964291659967 has 122 digits

77394262833246371711423236336550015175544044970546770514957808178611282426814134211756982420493770949616966019149943947133497110215884274981201639<146>

54923797941083258665408610502743<32>

1409120740635364908607465067802764562290036915063588145837948055243262006073639575459991601899495173541955885349873<115>

#Using B1=2329768, B2=3567716890, polynomial Dickson(6), sigma=3845482343
#Step 1 took 67618ms
#Step 2 took 29392ms
#********** Factor found in step 2: 54923797941083258665408610502743
#Found probable prime factor of 32 digits: 54923797941083258665408610502743
#Composite cofactor 1409120740635364908607465067802764562290036915063588145837948055243262006073639575459991601899495173541955885349873 has 115 digits

cofactor is composite !

1409120740635364908607465067802764562290036915063588145837948055243262006073639575459991601899495173541955885349873<115>

1383615489945228484659595198563915740434096933951<49>
1018433770708324513989795221242712535071162592913196540345250819023<67>

Number: 77773_184
N=1409120740635364908607465067802764562290036915063588145837948055243262006073639575459991601899495173541955885349873
  ( 115 digits)
Divisors found:
 r1=1383615489945228484659595198563915740434096933951 (pp49)
 r2=1018433770708324513989795221242712535071162592913196540345250819023 (pp67)
Version: GGNFS-0.77.1-20050930-k8
Total time: 31.91 hours.
Scaled time: 28.94 units (timescale=0.907).
Factorization parameters were as follows:
name: 77773_184
n: 1409120740635364908607465067802764562290036915063588145837948055243262006073639575459991601899495173541955885349873
skew: 57408.89
# norm 1.21e+16
c5: 14280
c4: -8199350774
c3: -148304488649521
c2: 21405458101595154052
c1: 142537809412331697636336
c0: -11062522908965943983877268608
# alpha -6.44
Y1: 1229138586269
Y0: -9973558664403551923037
# Murphy_E 5.60e-10
# M 936351327745923239120694157973164494754818427960473456494344742826592099052997543653036754399328806873797529005227
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 3075001)
Primes: RFBsize:256726, AFBsize:256781, largePrimes:7532171 encountered
Relations: rels:7446703, finalFF:614994
Max relations in full relation-set: 28
Initial matrix: 513590 x 614994 with sparse part having weight 53608083.
Pruned matrix : 430894 x 433525 with weight 34153324.
Polynomial selection time: 1.31 hours.
Total sieving time: 28.56 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 31.91 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.60 BogoMIPS (lpj=2335804)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.08 BogoMIPS).

Core 2 Duo E6300@2.33GHz

31577994593089736933185034761435089281384769279309391881642140646695287398617774659213207897139690786185305957905757253730347803760223344465926999669099260036203<161>

136844923603790695345482168979943226361272943735250213376626354269515170093<75>
230757515598591086449847866520061052436749104171903931580544206444121696230066713537271<87>

Number: s186
N=31577994593089736933185034761435089281384769279309391881642140646695287398617774659213207897139690786185305957905757253730347803760223344465926999669099260036203
  ( 161 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=136844923603790695345482168979943226361272943735250213376626354269515170093 (pp75)
 r2=230757515598591086449847866520061052436749104171903931580544206444121696230066713537271 (pp87)
Version: Msieve-1.40
Total time: 253.68 hours.
Scaled time: 469.31 units (timescale=1.850).
Factorization parameters were as follows:
n: 31577994593089736933185034761435089281384769279309391881642140646695287398617774659213207897139690786185305957905757253730347803760223344465926999669099260036203
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: -43
skew: 0.91
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 8750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1801421 x 1801646
Total sieving time: 249.55 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.69 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 253.68 hours.
 --------- CPU info (if available) ----------

303058998736792247867899559274689542308314688441389625143756315341405748744275238396567389801724161171848245177543215951824940889129517927796905327651923<153>

4805550249913806107164545818458971893599632427019<49>
63064369942282470443928890836206937269530197886183657029723257323673694166847341225815396360621173715417<104>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3499185670
Step 1 took 524485ms
Step 2 took 113000ms
********** Factor found in step 2: 4805550249913806107164545818458971893599632427019
Found probable prime factor of 49 digits: 4805550249913806107164545818458971893599632427019
Probable prime cofactor 63064369942282470443928890836206937269530197886183657029723257323673694166847341225815396360621173715417 has 104 digits

GMP-ECM 6.2.3

18507350300211610538031491334293266713333149540742576925757447809610927718282517287541826756138325099415558045752679855403681315730020773961611402696641954661<158>

30617702251306471516292760426167<32>
604465682901527770286687448552777681175592272944031753571377173281664702601341986824877637011967643421219608087996220150348483<126>

#Using B1=6834148, B2=14271975910, polynomial Dickson(12), sigma=624161724
#Step 1 took 219796ms
#Step 2 took 82038ms
#********** Factor found in step 2: 30617702251306471516292760426167
#Found probable prime factor of 32 digits: 30617702251306471516292760426167
#Probable prime cofactor 604465682901527770286687448552777681175592272944031753571377173281664702601341986824877637011967643421219608087996220150348483 has 126 digits

368789422473978553513879442510661662693561154915114012018347239100356861441258362855348314765701232643294412697841740600275348601<129>

834957171990917126025520458563<30>
441686633572614353856740837849121421170592905576897104142793452892615860092900755744822879464359827<99>

#Using B1=4305731, B2=8561918830, polynomial Dickson(6), sigma=2118855770
#Step 1 took 99824ms
#Step 2 took 39747ms
#********** Factor found in step 2: 834957171990917126025520458563
#Found probable prime factor of 30 digits: 834957171990917126025520458563
#Probable prime cofactor 441686633572614353856740837849121421170592905576897104142793452892615860092900755744822879464359827 has 99 digits

33765753407052227225663332089510876722564901645426780252396726609649188040983831882098515573369175358718458682495815352328500222513161884992645454231535863680183570863636267523<176>

32709617379111249256930373799243577489638579464806993<53>
1032288241580454530141923624537334846245796794316111465325079348604851155779838387506000161162583842628720955202997235144211<124>

N=33765753407052227225663332089510876722564901645426780252396726609649188040983831882098515573369175358718458682495815352328500222513161884992645454231535863680183570863636267523
  ( 176 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=32709617379111249256930373799243577489638579464806993 (pp53)
 r2=1032288241580454530141923624537334846245796794316111465325079348604851155779838387506000161162583842628720955202997235144211 (pp124)
Version: Msieve-1.40
Total time: 447.30 hours.
Scaled time: 815.43 units (timescale=1.823).
Factorization parameters were as follows:
n: 33765753407052227225663332089510876722564901645426780252396726609649188040983831882098515573369175358718458682495815352328500222513161884992645454231535863680183570863636267523
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -43
skew: 1.44
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor 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, 13350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2319294 x 2319519
Total sieving time: 439.77 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 7.00 hours.
Time per square root: 0.26 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: 447.30 hours.
 --------- CPU info (if available) ----------

332339411620241921667758139292075249481033920519211972712773710323231368221675760778894882184866260658051286208269366836796238604641850869<138>

3543854126479629404194342535389768714682873298488000234516262161<64>
93779089025421898269355240230012909396341206292481875062343831519528856229<74>

Number: template
N=332339411620241921667758139292075249481033920519211972712773710323231368221675760778894882184866260658051286208269366836796238604641850869
  ( 138 digits)
Divisors found:
 r1=3543854126479629404194342535389768714682873298488000234516262161 (pp64)
 r2=93779089025421898269355240230012909396341206292481875062343831519528856229 (pp74)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 2441.17 hours.
Scaled time: 4906.75 units (timescale=2.010).
Factorization parameters were as follows:
name: template
n: 332339411620241921667758139292075249481033920519211972712773710323231368221675760778894882184866260658051286208269366836796238604641850869
skew: 633970.78
# norm 2.37e+19
c5: 139560
c4: 459904593894
c3: -126980206595135003
c2: -161343727948017254210674
c1: 28008909286869388566227571068
c0: 7362373410681343420678015225067305
# alpha -5.99
Y1: 524199648991469
Y0: -298788360335374199376115932
# Murphy_E 2.20e-11
# M 1149381156828760038636208504312778076181482399815369717819531744821170386726634917697242824590468521180129638888519451984000293384578269
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 38880001)
Primes: RFBsize:374362, AFBsize:374845, largePrimes:11794582 encountered
Relations: rels:17293160, finalFF:861795
Max relations in full relation-set: 32
Initial matrix: 749287 x 861795 with sparse part having weight 177161076.
Pruned matrix : 694434 x 698244 with weight 162974487.
Total sieving time: 2429.94 hours.
Total relation processing time: 1.60 hours.
Matrix solve time: 9.05 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 2441.17 hours.
 --------- CPU info (if available) ----------

7500754910572170137121503762355411271248982228114614532110256023329342818191983738803486863254095181364159695236547415158453556118907067335947641621892575419123997800122719146311<178>

19591299641920085099366812799914371727437020098567489612747270141204665477527<77>
382861527701948997532670949949244730585267688795495786983630351733659285947965679733500076249112406993<102>

Number: s197
N=7500754910572170137121503762355411271248982228114614532110256023329342818191983738803486863254095181364159695236547415158453556118907067335947641621892575419123997800122719146311
  ( 178 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=19591299641920085099366812799914371727437020098567489612747270141204665477527 (pp77)
 r2=382861527701948997532670949949244730585267688795495786983630351733659285947965679733500076249112406993 (pp102)
Version: Msieve-1.40
Total time: 757.69 hours.
Scaled time: 1460.82 units (timescale=1.928).
Factorization parameters were as follows:
n: 7500754910572170137121503762355411271248982228114614532110256023329342818191983738803486863254095181364159695236547415158453556118907067335947641621892575419123997800122719146311
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -43
skew: 0.57
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 18350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2550851 x 2551076
Total sieving time: 748.07 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 8.30 hours.
Time per square root: 1.04 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 757.69 hours.
 --------- CPU info (if available) ----------

58970727644066358828107155931328406586475352012587552511001459002314902485573347735332989726172970005208014529802635882497915285501789292388584525679456453249486303809713207561<176>

730755370344576649761205130517539921375094155266557507011249757768570255431074812513161<87>
80698315793778708092853483434264462155990933686327863466721339795663285885551976364630401<89>

Wed Nov 04 09:43:01 2020 -> factmsieve.py (v0.86)
Wed Nov 04 09:43:01 2020 -> This is client 1 of 1
Wed Nov 04 09:43:01 2020 -> Running on 6 Cores with 1 hyper-thread per Core
Wed Nov 04 09:43:01 2020 -> Working with NAME = numto
Wed Nov 04 09:43:01 2020 -> Selected lattice siever: gnfs-lasieve4I14e
Wed Nov 04 09:43:01 2020 -> Creating param file to detect parameter changes...
Wed Nov 04 09:43:01 2020 -> Running setup ...
Wed Nov 04 09:43:01 2020 -> Estimated minimum relations needed: 2.96093e+07
Wed Nov 04 09:43:01 2020 -> cleaning up before a restart
Wed Nov 04 09:43:01 2020 -> Running lattice siever ...
Wed Nov 04 09:43:01 2020 -> entering sieving loop

Fri Nov  6 04:47:57 2020  Msieve v. 1.53 (SVN 998)
Fri Nov  6 04:47:57 2020  random seeds: 9664a558 17206ad8
Fri Nov  6 04:47:57 2020  factoring 58970727644066358828107155931328406586475352012587552511001459002314902485573347735332989726172970005208014529802635882497915285501789292388584525679456453249486303809713207561 (176 digits)
Fri Nov  6 04:47:58 2020  searching for 15-digit factors
Fri Nov  6 04:47:58 2020  commencing number field sieve (176-digit input)
Fri Nov  6 04:47:58 2020  R0: -5000000000000000000000000000000000000000
Fri Nov  6 04:47:58 2020  R1: 1
Fri Nov  6 04:47:58 2020  A0: -215
Fri Nov  6 04:47:58 2020  A1: 0
Fri Nov  6 04:47:58 2020  A2: 0
Fri Nov  6 04:47:58 2020  A3: 0
Fri Nov  6 04:47:58 2020  A4: 0
Fri Nov  6 04:47:58 2020  A5: 112
Fri Nov  6 04:47:58 2020  skew 1.14, size 5.375e-14, alpha -0.360, combined = 1.367e-11 rroots = 1
Fri Nov  6 04:47:58 2020  
Fri Nov  6 04:47:58 2020  commencing relation filtering
Fri Nov  6 04:47:58 2020  estimated available RAM is 32688.8 MB
Fri Nov  6 04:47:58 2020  commencing duplicate removal, pass 1
Fri Nov  6 04:48:23 2020  error -15 reading relation 2447578
Fri Nov  6 04:48:23 2020  error -15 reading relation 2500959
Fri Nov  6 04:48:24 2020  error -9 reading relation 2554637
Fri Nov  6 04:48:24 2020  error -6 reading relation 2608638
Fri Nov  6 04:48:26 2020  error -1 reading relation 2716447
Fri Nov  6 04:53:46 2020  error -11 reading relation 34106230
Fri Nov  6 04:53:46 2020  error -1 reading relation 34114903
Fri Nov  6 04:53:46 2020  error -11 reading relation 34149516
Fri Nov  6 04:54:23 2020  skipped 4 relations with composite factors
Fri Nov  6 04:54:23 2020  found 4026956 hash collisions in 37830921 relations
Fri Nov  6 04:54:52 2020  added 69 free relations
Fri Nov  6 04:54:52 2020  commencing duplicate removal, pass 2
Fri Nov  6 04:55:04 2020  found 3288933 duplicates and 34542057 unique relations
Fri Nov  6 04:55:04 2020  memory use: 138.6 MB
Fri Nov  6 04:55:04 2020  reading ideals above 720000
Fri Nov  6 04:55:04 2020  commencing singleton removal, initial pass
Fri Nov  6 05:00:12 2020  memory use: 753.0 MB
Fri Nov  6 05:00:12 2020  reading all ideals from disk
Fri Nov  6 05:00:12 2020  memory use: 1168.3 MB
Fri Nov  6 05:00:14 2020  keeping 37931547 ideals with weight <= 200, target excess is 182677
Fri Nov  6 05:00:16 2020  commencing in-memory singleton removal
Fri Nov  6 05:00:18 2020  begin with 34542057 relations and 37931547 unique ideals
Fri Nov  6 05:00:37 2020  reduce to 12523438 relations and 12220662 ideals in 23 passes
Fri Nov  6 05:00:37 2020  max relations containing the same ideal: 102
Fri Nov  6 05:00:41 2020  removing 726888 relations and 681453 ideals in 45435 cliques
Fri Nov  6 05:00:41 2020  commencing in-memory singleton removal
Fri Nov  6 05:00:42 2020  begin with 11796550 relations and 12220662 unique ideals
Fri Nov  6 05:00:49 2020  reduce to 11755187 relations and 11497579 ideals in 11 passes
Fri Nov  6 05:00:49 2020  max relations containing the same ideal: 101
Fri Nov  6 05:00:52 2020  removing 522968 relations and 477533 ideals in 45435 cliques
Fri Nov  6 05:00:53 2020  commencing in-memory singleton removal
Fri Nov  6 05:00:53 2020  begin with 11232219 relations and 11497579 unique ideals
Fri Nov  6 05:01:00 2020  reduce to 11209399 relations and 10997109 ideals in 12 passes
Fri Nov  6 05:01:00 2020  max relations containing the same ideal: 99
Fri Nov  6 05:01:05 2020  relations with 0 large ideals: 3843
Fri Nov  6 05:01:05 2020  relations with 1 large ideals: 1487
Fri Nov  6 05:01:05 2020  relations with 2 large ideals: 25375
Fri Nov  6 05:01:05 2020  relations with 3 large ideals: 200205
Fri Nov  6 05:01:05 2020  relations with 4 large ideals: 861913
Fri Nov  6 05:01:05 2020  relations with 5 large ideals: 2149919
Fri Nov  6 05:01:05 2020  relations with 6 large ideals: 3287586
Fri Nov  6 05:01:05 2020  relations with 7+ large ideals: 4679071
Fri Nov  6 05:01:05 2020  commencing 2-way merge
Fri Nov  6 05:01:10 2020  reduce to 6265835 relation sets and 6053552 unique ideals
Fri Nov  6 05:01:10 2020  ignored 7 oversize relation sets
Fri Nov  6 05:01:10 2020  commencing full merge
Fri Nov  6 05:02:19 2020  memory use: 689.7 MB
Fri Nov  6 05:02:20 2020  found 3230032 cycles, need 3207752
Fri Nov  6 05:02:20 2020  weight of 3207752 cycles is about 224816860 (70.09/cycle)
Fri Nov  6 05:02:20 2020  distribution of cycle lengths:
Fri Nov  6 05:02:20 2020  1 relations: 466111
Fri Nov  6 05:02:20 2020  2 relations: 434982
Fri Nov  6 05:02:20 2020  3 relations: 405693
Fri Nov  6 05:02:20 2020  4 relations: 351594
Fri Nov  6 05:02:20 2020  5 relations: 294107
Fri Nov  6 05:02:20 2020  6 relations: 245721
Fri Nov  6 05:02:20 2020  7 relations: 199096
Fri Nov  6 05:02:20 2020  8 relations: 159569
Fri Nov  6 05:02:20 2020  9 relations: 127887
Fri Nov  6 05:02:20 2020  10+ relations: 522992
Fri Nov  6 05:02:20 2020  heaviest cycle: 26 relations
Fri Nov  6 05:02:21 2020  commencing cycle optimization
Fri Nov  6 05:02:24 2020  start with 17803326 relations
Fri Nov  6 05:02:41 2020  pruned 283516 relations
Fri Nov  6 05:02:41 2020  memory use: 629.8 MB
Fri Nov  6 05:02:41 2020  distribution of cycle lengths:
Fri Nov  6 05:02:41 2020  1 relations: 466111
Fri Nov  6 05:02:41 2020  2 relations: 442645
Fri Nov  6 05:02:41 2020  3 relations: 416473
Fri Nov  6 05:02:41 2020  4 relations: 356091
Fri Nov  6 05:02:41 2020  5 relations: 297109
Fri Nov  6 05:02:41 2020  6 relations: 245443
Fri Nov  6 05:02:41 2020  7 relations: 197886
Fri Nov  6 05:02:41 2020  8 relations: 157673
Fri Nov  6 05:02:41 2020  9 relations: 125577
Fri Nov  6 05:02:41 2020  10+ relations: 502744
Fri Nov  6 05:02:41 2020  heaviest cycle: 26 relations
Fri Nov  6 05:02:44 2020  RelProcTime: 886
Fri Nov  6 05:02:44 2020  elapsed time 00:14:47
Fri Nov 06 05:02:44 2020 LatSieveTime: 2201.35
Fri Nov 06 05:02:44 2020 -> Running matrix solving step ...
Fri Nov 06 05:02:44 2020 -> msieve.gpu.ivybridge -s 77773_199\numto.dat -l 77773_199\numto.log -i 77773_199\numto.ini -nf 77773_199\numto.fb -t 6 -nc2
Fri Nov  6 05:02:44 2020  
Fri Nov  6 05:02:44 2020  
Fri Nov  6 05:02:44 2020  Msieve v. 1.53 (SVN 998)
Fri Nov  6 05:02:44 2020  random seeds: 50e00a78 fdb9cfca
Fri Nov  6 05:02:44 2020  factoring 58970727644066358828107155931328406586475352012587552511001459002314902485573347735332989726172970005208014529802635882497915285501789292388584525679456453249486303809713207561 (176 digits)
Fri Nov  6 05:02:44 2020  searching for 15-digit factors
Fri Nov  6 05:02:45 2020  commencing number field sieve (176-digit input)
Fri Nov  6 05:02:45 2020  R0: -5000000000000000000000000000000000000000
Fri Nov  6 05:02:45 2020  R1: 1
Fri Nov  6 05:02:45 2020  A0: -215
Fri Nov  6 05:02:45 2020  A1: 0
Fri Nov  6 05:02:45 2020  A2: 0
Fri Nov  6 05:02:45 2020  A3: 0
Fri Nov  6 05:02:45 2020  A4: 0
Fri Nov  6 05:02:45 2020  A5: 112
Fri Nov  6 05:02:45 2020  skew 1.14, size 5.375e-14, alpha -0.360, combined = 1.367e-11 rroots = 1
Fri Nov  6 05:02:45 2020  
Fri Nov  6 05:02:45 2020  commencing linear algebra
Fri Nov  6 05:02:45 2020  read 3207752 cycles
Fri Nov  6 05:02:49 2020  cycles contain 10904654 unique relations
Fri Nov  6 05:04:11 2020  read 10904654 relations
Fri Nov  6 05:04:23 2020  using 20 quadratic characters above 4294917295
Fri Nov  6 05:05:03 2020  building initial matrix
Fri Nov  6 05:06:12 2020  memory use: 1364.1 MB
Fri Nov  6 05:06:13 2020  read 3207752 cycles
Fri Nov  6 05:06:14 2020  matrix is 3207571 x 3207752 (970.2 MB) with weight 288091201 (89.81/col)
Fri Nov  6 05:06:14 2020  sparse part has weight 219034222 (68.28/col)
Fri Nov  6 05:06:33 2020  filtering completed in 2 passes
Fri Nov  6 05:06:34 2020  matrix is 3199289 x 3199470 (969.4 MB) with weight 287814737 (89.96/col)
Fri Nov  6 05:06:34 2020  sparse part has weight 218941154 (68.43/col)
Fri Nov  6 05:06:38 2020  matrix starts at (0, 0)
Fri Nov  6 05:06:39 2020  matrix is 3199289 x 3199470 (969.4 MB) with weight 287814737 (89.96/col)
Fri Nov  6 05:06:39 2020  sparse part has weight 218941154 (68.43/col)
Fri Nov  6 05:06:39 2020  saving the first 48 matrix rows for later
Fri Nov  6 05:06:39 2020  matrix includes 64 packed rows
Fri Nov  6 05:06:40 2020  matrix is 3199241 x 3199470 (926.0 MB) with weight 230774037 (72.13/col)
Fri Nov  6 05:06:40 2020  sparse part has weight 210761915 (65.87/col)
Fri Nov  6 05:06:40 2020  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri Nov  6 05:06:49 2020  commencing Lanczos iteration (6 threads)
Fri Nov  6 05:06:49 2020  memory use: 749.5 MB
Fri Nov  6 05:06:53 2020  linear algebra at 0.0%, ETA 1h45m
Fri Nov  6 05:06:54 2020  checkpointing every 1830000 dimensions
Fri Nov  6 07:13:34 2020  lanczos halted after 50590 iterations (dim = 3199235)
Fri Nov  6 07:13:37 2020  recovered 34 nontrivial dependencies
Fri Nov  6 07:13:37 2020  BLanczosTime: 7852
Fri Nov  6 07:13:37 2020  elapsed time 02:10:53
Fri Nov 06 07:13:37 2020 -> Running square root step ...
Fri Nov 06 07:13:37 2020 -> msieve.gpu.ivybridge -s 77773_199\numto.dat -l 77773_199\numto.log -i 77773_199\numto.ini -nf 77773_199\numto.fb -t 6 -nc3
Fri Nov  6 07:13:37 2020  
Fri Nov  6 07:13:37 2020  
Fri Nov  6 07:13:37 2020  Msieve v. 1.53 (SVN 998)
Fri Nov  6 07:13:37 2020  random seeds: d591f16c e12a1469
Fri Nov  6 07:13:37 2020  factoring 58970727644066358828107155931328406586475352012587552511001459002314902485573347735332989726172970005208014529802635882497915285501789292388584525679456453249486303809713207561 (176 digits)
Fri Nov  6 07:13:38 2020  searching for 15-digit factors
Fri Nov  6 07:13:38 2020  commencing number field sieve (176-digit input)
Fri Nov  6 07:13:38 2020  R0: -5000000000000000000000000000000000000000
Fri Nov  6 07:13:38 2020  R1: 1
Fri Nov  6 07:13:38 2020  A0: -215
Fri Nov  6 07:13:38 2020  A1: 0
Fri Nov  6 07:13:38 2020  A2: 0
Fri Nov  6 07:13:38 2020  A3: 0
Fri Nov  6 07:13:38 2020  A4: 0
Fri Nov  6 07:13:38 2020  A5: 112
Fri Nov  6 07:13:38 2020  skew 1.14, size 5.375e-14, alpha -0.360, combined = 1.367e-11 rroots = 1
Fri Nov  6 07:13:38 2020  
Fri Nov  6 07:13:38 2020  commencing square root phase
Fri Nov  6 07:13:38 2020  reading relations for dependency 1
Fri Nov  6 07:13:38 2020  read 1599160 cycles
Fri Nov  6 07:13:40 2020  cycles contain 5447294 unique relations
Fri Nov  6 07:14:23 2020  read 5447294 relations
Fri Nov  6 07:14:43 2020  multiplying 5447294 relations
Fri Nov  6 07:16:31 2020  multiply complete, coefficients have about 166.58 million bits
Fri Nov  6 07:16:32 2020  initial square root is modulo 950791
Fri Nov  6 07:18:42 2020  GCD is N, no factor found
Fri Nov  6 07:18:42 2020  reading relations for dependency 2
Fri Nov  6 07:18:43 2020  read 1600207 cycles
Fri Nov  6 07:18:44 2020  cycles contain 5452764 unique relations
Fri Nov  6 07:19:27 2020  read 5452764 relations
Fri Nov  6 07:19:47 2020  multiplying 5452764 relations
Fri Nov  6 07:21:35 2020  multiply complete, coefficients have about 166.74 million bits
Fri Nov  6 07:21:36 2020  initial square root is modulo 964021
Fri Nov  6 07:23:45 2020  sqrtTime: 607
Fri Nov  6 07:23:45 2020  p87 factor: 730755370344576649761205130517539921375094155266557507011249757768570255431074812513161
Fri Nov  6 07:23:45 2020  p89 factor: 80698315793778708092853483434264462155990933686327863466721339795663285885551976364630401
Fri Nov  6 07:23:45 2020  elapsed time 00:10:08
Fri Nov 06 07:23:45 2020 -> Computing time scale for this machine...
Fri Nov 06 07:23:45 2020 -> procrels -speedtest> PIPE

GGNFS, Msieve v.1.53

Core i7-9700F 3.00GHz 8core
Windows 10

78478339553435155128980800782880004309205264590211172909698009433252698330530630226706253011164139003625706798866918567180903912902845417599981390857366965783169392625748988485926752977007731<191>

3937154377208831195317050869489643571199<40>

19932756512603613805537617547909718330804698132888310510455011242343011729605214247504057026096081092532311130097139778827231495420334733940846765405069<152>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1296127361
Step 1 took 829141ms
Step 2 took 159953ms
********** Factor found in step 2: 3937154377208831195317050869489643571199
Found probable prime factor of 40 digits: 3937154377208831195317050869489643571199
Composite cofactor 19932756512603613805537617547909718330804698132888310510455011242343011729605214247504057026096081092532311130097139778827231495420334733940846765405069 has 152 digits

GMP-ECM 6.2.3

19932756512603613805537617547909718330804698132888310510455011242343011729605214247504057026096081092532311130097139778827231495420334733940846765405069<152>

6894124671887365283799351380222958569313204030287737<52>
2891267196528190499436157461354018505304518098350742988670267482039938314780119923603859308279872437<100>

Fri Nov 06 09:18:08 2020 -> factmsieve.py (v0.86)
Fri Nov 06 09:18:08 2020 -> This is client 1 of 1
Fri Nov 06 09:18:08 2020 -> Running on 6 Cores with 1 hyper-thread per Core
Fri Nov 06 09:18:08 2020 -> Working with NAME = numto
Fri Nov 06 09:18:08 2020 -> Selected lattice siever: gnfs-lasieve4I14e
Fri Nov 06 09:18:08 2020 -> Creating param file to detect parameter changes...
Fri Nov 06 09:18:08 2020 -> Running setup ...
Fri Nov 06 09:18:08 2020 -> Estimated minimum relations needed: 2.96093e+07
Fri Nov 06 09:18:08 2020 -> cleaning up before a restart
Fri Nov 06 09:18:08 2020 -> Running lattice siever ...
Fri Nov 06 09:18:08 2020 -> entering sieving loop

Sat Nov 07 18:30:27 2020 Found 38064551 relations, 128.6% of the estimated minimum (29609329).
Sat Nov 07 18:30:27 2020 -> msieve.gpu.ivybridge -s 77773_200\numto.dat -l 77773_200\numto.log -i 77773_200\numto.ini -nf 77773_200\numto.fb -t 6 -nc1
Sat Nov  7 18:30:27 2020  
Sat Nov  7 18:30:27 2020  
Sat Nov  7 18:30:27 2020  Msieve v. 1.53 (SVN 998)
Sat Nov  7 18:30:27 2020  random seeds: bde96220 497f9963
Sat Nov  7 18:30:27 2020  factoring 19932756512603613805537617547909718330804698132888310510455011242343011729605214247504057026096081092532311130097139778827231495420334733940846765405069 (152 digits)
Sat Nov  7 18:30:27 2020  searching for 15-digit factors
Sat Nov  7 18:30:28 2020  commencing number field sieve (152-digit input)
Sat Nov  7 18:30:28 2020  R0: -10000000000000000000000000000000000000000
Sat Nov  7 18:30:28 2020  R1: 1
Sat Nov  7 18:30:28 2020  A0: -43
Sat Nov  7 18:30:28 2020  A1: 0
Sat Nov  7 18:30:28 2020  A2: 0
Sat Nov  7 18:30:28 2020  A3: 0
Sat Nov  7 18:30:28 2020  A4: 0
Sat Nov  7 18:30:28 2020  A5: 7
Sat Nov  7 18:30:28 2020  skew 1.44, size 5.705e-14, alpha 1.076, combined = 1.395e-11 rroots = 1
Sat Nov  7 18:30:28 2020  
Sat Nov  7 18:30:28 2020  commencing relation filtering
Sat Nov  7 18:30:28 2020  estimated available RAM is 32688.8 MB
Sat Nov  7 18:30:28 2020  commencing duplicate removal, pass 1
Sat Nov  7 18:36:16 2020  found 3963131 hash collisions in 38064550 relations
Sat Nov  7 18:36:44 2020  added 37 free relations
Sat Nov  7 18:36:44 2020  commencing duplicate removal, pass 2
Sat Nov  7 18:36:54 2020  found 3156195 duplicates and 34908392 unique relations
Sat Nov  7 18:36:54 2020  memory use: 138.6 MB
Sat Nov  7 18:36:54 2020  reading ideals above 720000
Sat Nov  7 18:36:54 2020  commencing singleton removal, initial pass
Sat Nov  7 18:41:35 2020  memory use: 753.0 MB
Sat Nov  7 18:41:35 2020  reading all ideals from disk
Sat Nov  7 18:41:35 2020  memory use: 1189.0 MB
Sat Nov  7 18:41:37 2020  keeping 38194955 ideals with weight <= 200, target excess is 186159
Sat Nov  7 18:41:39 2020  commencing in-memory singleton removal
Sat Nov  7 18:41:40 2020  begin with 34908392 relations and 38194955 unique ideals
Sat Nov  7 18:41:56 2020  reduce to 12965747 relations and 12647695 ideals in 22 passes
Sat Nov  7 18:41:56 2020  max relations containing the same ideal: 103
Sat Nov  7 18:41:59 2020  removing 782090 relations and 731036 ideals in 51054 cliques
Sat Nov  7 18:41:59 2020  commencing in-memory singleton removal
Sat Nov  7 18:42:00 2020  begin with 12183657 relations and 12647695 unique ideals
Sat Nov  7 18:42:06 2020  reduce to 12137981 relations and 11870698 ideals in 11 passes
Sat Nov  7 18:42:06 2020  max relations containing the same ideal: 99
Sat Nov  7 18:42:09 2020  removing 562597 relations and 511543 ideals in 51054 cliques
Sat Nov  7 18:42:09 2020  commencing in-memory singleton removal
Sat Nov  7 18:42:10 2020  begin with 11575384 relations and 11870698 unique ideals
Sat Nov  7 18:42:14 2020  reduce to 11550457 relations and 11334097 ideals in 8 passes
Sat Nov  7 18:42:14 2020  max relations containing the same ideal: 99
Sat Nov  7 18:42:18 2020  relations with 0 large ideals: 3947
Sat Nov  7 18:42:18 2020  relations with 1 large ideals: 1339
Sat Nov  7 18:42:18 2020  relations with 2 large ideals: 23538
Sat Nov  7 18:42:18 2020  relations with 3 large ideals: 191540
Sat Nov  7 18:42:18 2020  relations with 4 large ideals: 842937
Sat Nov  7 18:42:18 2020  relations with 5 large ideals: 2149428
Sat Nov  7 18:42:18 2020  relations with 6 large ideals: 3366515
Sat Nov  7 18:42:18 2020  relations with 7+ large ideals: 4971213
Sat Nov  7 18:42:18 2020  commencing 2-way merge
Sat Nov  7 18:42:23 2020  reduce to 6494925 relation sets and 6278568 unique ideals
Sat Nov  7 18:42:23 2020  ignored 3 oversize relation sets
Sat Nov  7 18:42:23 2020  commencing full merge
Sat Nov  7 18:43:30 2020  memory use: 721.5 MB
Sat Nov  7 18:43:31 2020  found 3338032 cycles, need 3314768
Sat Nov  7 18:43:31 2020  weight of 3314768 cycles is about 232244957 (70.06/cycle)
Sat Nov  7 18:43:31 2020  distribution of cycle lengths:
Sat Nov  7 18:43:31 2020  1 relations: 471820
Sat Nov  7 18:43:31 2020  2 relations: 445312
Sat Nov  7 18:43:31 2020  3 relations: 420236
Sat Nov  7 18:43:31 2020  4 relations: 364315
Sat Nov  7 18:43:31 2020  5 relations: 301992
Sat Nov  7 18:43:31 2020  6 relations: 254753
Sat Nov  7 18:43:31 2020  7 relations: 207603
Sat Nov  7 18:43:31 2020  8 relations: 166216
Sat Nov  7 18:43:31 2020  9 relations: 133762
Sat Nov  7 18:43:31 2020  10+ relations: 548759
Sat Nov  7 18:43:31 2020  heaviest cycle: 26 relations
Sat Nov  7 18:43:32 2020  commencing cycle optimization
Sat Nov  7 18:43:35 2020  start with 18503284 relations
Sat Nov  7 18:43:52 2020  pruned 305634 relations
Sat Nov  7 18:43:52 2020  memory use: 651.4 MB
Sat Nov  7 18:43:52 2020  distribution of cycle lengths:
Sat Nov  7 18:43:52 2020  1 relations: 471820
Sat Nov  7 18:43:52 2020  2 relations: 453444
Sat Nov  7 18:43:52 2020  3 relations: 431833
Sat Nov  7 18:43:52 2020  4 relations: 368739
Sat Nov  7 18:43:52 2020  5 relations: 305627
Sat Nov  7 18:43:52 2020  6 relations: 254417
Sat Nov  7 18:43:52 2020  7 relations: 206779
Sat Nov  7 18:43:52 2020  8 relations: 163887
Sat Nov  7 18:43:52 2020  9 relations: 131546
Sat Nov  7 18:43:52 2020  10+ relations: 526676
Sat Nov  7 18:43:52 2020  heaviest cycle: 26 relations
Sat Nov  7 18:43:55 2020  RelProcTime: 807
Sat Nov  7 18:43:55 2020  elapsed time 00:13:28
Sat Nov 07 18:43:55 2020 LatSieveTime: 2105.08
Sat Nov 07 18:43:55 2020 -> Running matrix solving step ...
Sat Nov 07 18:43:55 2020 -> msieve.gpu.ivybridge -s 77773_200\numto.dat -l 77773_200\numto.log -i 77773_200\numto.ini -nf 77773_200\numto.fb -t 6 -nc2
Sat Nov  7 18:43:55 2020  
Sat Nov  7 18:43:55 2020  
Sat Nov  7 18:43:55 2020  Msieve v. 1.53 (SVN 998)
Sat Nov  7 18:43:55 2020  random seeds: c2602e18 973f8e0e
Sat Nov  7 18:43:55 2020  factoring 19932756512603613805537617547909718330804698132888310510455011242343011729605214247504057026096081092532311130097139778827231495420334733940846765405069 (152 digits)
Sat Nov  7 18:43:55 2020  searching for 15-digit factors
Sat Nov  7 18:43:55 2020  commencing number field sieve (152-digit input)
Sat Nov  7 18:43:55 2020  R0: -10000000000000000000000000000000000000000
Sat Nov  7 18:43:55 2020  R1: 1
Sat Nov  7 18:43:55 2020  A0: -43
Sat Nov  7 18:43:55 2020  A1: 0
Sat Nov  7 18:43:55 2020  A2: 0
Sat Nov  7 18:43:55 2020  A3: 0
Sat Nov  7 18:43:55 2020  A4: 0
Sat Nov  7 18:43:55 2020  A5: 7
Sat Nov  7 18:43:55 2020  skew 1.44, size 5.705e-14, alpha 1.076, combined = 1.395e-11 rroots = 1
Sat Nov  7 18:43:55 2020  
Sat Nov  7 18:43:55 2020  commencing linear algebra
Sat Nov  7 18:43:56 2020  read 3314768 cycles
Sat Nov  7 18:44:00 2020  cycles contain 11248919 unique relations
Sat Nov  7 18:45:15 2020  read 11248919 relations
Sat Nov  7 18:45:27 2020  using 20 quadratic characters above 4294917295
Sat Nov  7 18:46:06 2020  building initial matrix
Sat Nov  7 18:47:12 2020  memory use: 1383.2 MB
Sat Nov  7 18:47:14 2020  read 3314768 cycles
Sat Nov  7 18:47:14 2020  matrix is 3314585 x 3314768 (1002.0 MB) with weight 292743720 (88.31/col)
Sat Nov  7 18:47:14 2020  sparse part has weight 226204955 (68.24/col)
Sat Nov  7 18:47:32 2020  filtering completed in 2 passes
Sat Nov  7 18:47:33 2020  matrix is 3306744 x 3306927 (1001.4 MB) with weight 292503002 (88.45/col)
Sat Nov  7 18:47:33 2020  sparse part has weight 226127213 (68.38/col)
Sat Nov  7 18:47:37 2020  matrix starts at (0, 0)
Sat Nov  7 18:47:37 2020  matrix is 3306744 x 3306927 (1001.4 MB) with weight 292503002 (88.45/col)
Sat Nov  7 18:47:37 2020  sparse part has weight 226127213 (68.38/col)
Sat Nov  7 18:47:37 2020  saving the first 48 matrix rows for later
Sat Nov  7 18:47:38 2020  matrix includes 64 packed rows
Sat Nov  7 18:47:38 2020  matrix is 3306696 x 3306927 (950.5 MB) with weight 233264406 (70.54/col)
Sat Nov  7 18:47:38 2020  sparse part has weight 216098580 (65.35/col)
Sat Nov  7 18:47:38 2020  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sat Nov  7 18:47:47 2020  commencing Lanczos iteration (6 threads)
Sat Nov  7 18:47:47 2020  memory use: 774.3 MB
Sat Nov  7 18:47:51 2020  linear algebra at 0.0%, ETA 1h48m
Sat Nov  7 18:47:53 2020  checkpointing every 1460000 dimensions
Sat Nov  7 21:11:06 2020  lanczos halted after 52298 iterations (dim = 3306694)
Sat Nov  7 21:11:08 2020  recovered 35 nontrivial dependencies
Sat Nov  7 21:11:08 2020  BLanczosTime: 8833
Sat Nov  7 21:11:08 2020  elapsed time 02:27:13
Sat Nov 07 21:11:08 2020 -> Running square root step ...
Sat Nov 07 21:11:08 2020 -> msieve.gpu.ivybridge -s 77773_200\numto.dat -l 77773_200\numto.log -i 77773_200\numto.ini -nf 77773_200\numto.fb -t 6 -nc3
Sat Nov  7 21:11:08 2020  
Sat Nov  7 21:11:08 2020  
Sat Nov  7 21:11:08 2020  Msieve v. 1.53 (SVN 998)
Sat Nov  7 21:11:08 2020  random seeds: 19ae0650 88c596ab
Sat Nov  7 21:11:08 2020  factoring 19932756512603613805537617547909718330804698132888310510455011242343011729605214247504057026096081092532311130097139778827231495420334733940846765405069 (152 digits)
Sat Nov  7 21:11:09 2020  searching for 15-digit factors
Sat Nov  7 21:11:09 2020  commencing number field sieve (152-digit input)
Sat Nov  7 21:11:09 2020  R0: -10000000000000000000000000000000000000000
Sat Nov  7 21:11:09 2020  R1: 1
Sat Nov  7 21:11:09 2020  A0: -43
Sat Nov  7 21:11:09 2020  A1: 0
Sat Nov  7 21:11:09 2020  A2: 0
Sat Nov  7 21:11:09 2020  A3: 0
Sat Nov  7 21:11:09 2020  A4: 0
Sat Nov  7 21:11:09 2020  A5: 7
Sat Nov  7 21:11:09 2020  skew 1.44, size 5.705e-14, alpha 1.076, combined = 1.395e-11 rroots = 1
Sat Nov  7 21:11:09 2020  
Sat Nov  7 21:11:09 2020  commencing square root phase
Sat Nov  7 21:11:09 2020  reading relations for dependency 1
Sat Nov  7 21:11:09 2020  read 1652543 cycles
Sat Nov  7 21:11:11 2020  cycles contain 5619536 unique relations
Sat Nov  7 21:11:51 2020  read 5619536 relations
Sat Nov  7 21:12:09 2020  multiplying 5619536 relations
Sat Nov  7 21:13:44 2020  multiply complete, coefficients have about 150.46 million bits
Sat Nov  7 21:13:44 2020  initial square root is modulo 251071
Sat Nov  7 21:15:36 2020  sqrtTime: 267
Sat Nov  7 21:15:36 2020  p52 factor: 6894124671887365283799351380222958569313204030287737
Sat Nov  7 21:15:36 2020  p100 factor: 2891267196528190499436157461354018505304518098350742988670267482039938314780119923603859308279872437
Sat Nov  7 21:15:36 2020  elapsed time 00:04:28
Sat Nov 07 21:15:36 2020 -> Computing time scale for this machine...
Sat Nov 07 21:15:36 2020 -> procrels -speedtest> PIPE

GGNFS, Msieve

Core i7-9700F 3.00GHz 8core
Windows 10

6622207882764787335854602550818490798705019634826965674372229579123210942302523622025743928006170622036204001715500570491618252940991918563379041<145>

12487889072800553150819076891768125785006491240899350063670146169330623<71>
530290415310334018078212298199937443180037552607573655170881170308918355167<75>

6622207882764787335854602550818490798705019634826965674372229579123210942302523622025743928006170622036204001715500570491618252940991918563379041=12487889072800553150819076891768125785006491240899350063670146169330623*530290415310334018078212298199937443180037552607573655170881170308918355167

n: 6622207882764787335854602550818490798705019634826965674372229579123210942302523622025743928006170622036204001715500570491618252940991918563379041
skew: 179093.506
c0: -8307172094453639885613380476904
c1: 4839359783161381680261422358
c2: 24332648407402147060455
c3: -266072096588717943
c4: 562069483772
c5: 1235520
Y0: -7046220803613986738902852095
Y1: 5483749620422981725849
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.652e-07
# f(x) = 1235520*x^5+562069483772*x^4-266072096588717943*x^3+24332648407402147060455*x^2+4839359783161381680261422358*x-8307172094453639885613380476904
# g(x) = 5483749620422981725849*x-7046220803613986738902852095

Info:Square Root: Factors: 12487889072800553150819076891768125785006491240899350063670146169330623 530290415310334018078212298199937443180037552607573655170881170308918355167
Info:Square Root: Total cpu/real time for sqrt: 3467.65/1088.9
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78178/43.860/52.195/58.850/0.905
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64103/42.650/46.760/52.920/1.180
Info:Polynomial Selection (size optimized): Total time: 41217.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5713.99
Info:Polynomial Selection (root optimized): Rootsieve time: 5711.28
Info:Generate Factor Base: Total cpu/real time for makefb: 18.13/4.82108
Info:Generate Free Relations: Total cpu/real time for freerel: 469/118.062
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50035087
Info:Lattice Sieving: Average J: 3790.65 for 1335337 special-q, max bucket fill -bkmult 1.0,1s:1.191360
Info:Lattice Sieving: Total time: 910661s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.98/157.263
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 966.69/686.684
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 588.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 838.09/622.787
Info:Filtering - Merging: Total cpu/real time for merge: 548.21/158.922
Info:Filtering - Merging: Total cpu/real time for replay: 158.12/137.324
Info:Linear Algebra: Total cpu/real time for bwc: 254355/65041.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 41698.73, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (115712 iterations)
Info:Linear Algebra: Lingen CPU time 820.37, WCT time 236.44
Info:Linear Algebra: Mksol: WCT time 22608.43, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57856 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 150.19/63.2322
Info:Square Root: Total cpu/real time for sqrt: 3467.65/1088.9
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.32181e+06/559.142
12487889072800553150819076891768125785006491240899350063670146169330623 530290415310334018078212298199937443180037552607573655170881170308918355167

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5648349874929395626563382554667957718066650528524166868393447914145081901073186476236585169047042685386911966432663600419591704994755103687565561203905430484951182118938110223513273622206084079722423949<202>

62604108974342978505062826478040576438184094528258457506805873<62>
662021298149734281561229659528509403900190047328271154405447199062439<69>
136284601949026682390730569825694949184102512515689530468924678839170267<72>

Number: 77773_205
N=5648349874929395626563382554667957718066650528524166868393447914145081901073186476236585169047042685386911966432663600419591704994755103687565561203905430484951182118938110223513273622206084079722423949
  ( 202 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=62604108974342978505062826478040576438184094528258457506805873
 r2=662021298149734281561229659528509403900190047328271154405447199062439
 r3=136284601949026682390730569825694949184102512515689530468924678839170267
Version: 
Total time: 1118.63 hours.
Scaled time: 2254.03 units (timescale=2.015).
Factorization parameters were as follows:
n: 5648349874929395626563382554667957718066650528524166868393447914145081901073186476236585169047042685386911966432663600419591704994755103687565561203905430484951182118938110223513273622206084079722423949
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -43
skew: 1.44
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9450000, 21450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3577131 x 3577378
Total sieving time: 1118.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 1118.63 hours.
 --------- CPU info (if available) ----------

657242083716508989079792269550722296797134168378366823859537504322857231590189400371297272621587346649964943505334234494854827762947063212851629831407330944489332670386388330165046228328466882910767<198>

3120221766297815176525721763518488879<37>

210639541975997271696140543758602936713645390292919948460464426589674070366910099127495173893745278457214225945062129943423946274583206352446225860120437189449473<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3728665139
Step 1 took 21247ms
Step 2 took 7681ms
********** Factor found in step 2: 3120221766297815176525721763518488879
Found probable prime factor of 37 digits: 3120221766297815176525721763518488879
Composite cofactor 210639541975997271696140543758602936713645390292919948460464426589674070366910099127495173893745278457214225945062129943423946274583206352446225860120437189449473 has 162 digits

GMP-ECM 6.2.3

210639541975997271696140543758602936713645390292919948460464426589674070366910099127495173893745278457214225945062129943423946274583206352446225860120437189449473<162>

18233120171286011618680018962291151411180428857645189<53>
11552577945913934171804927928526155067804624820947038197963780428974318844298137527372927477976427998805953357<110>

#
# N = 7x10^206-43 = 7(205)3
#
n: 210639541975997271696140543758602936713645390292919948460464426589674070366910099127495173893745278457214225945062129943423946274583206352446225860120437189449473
m: 100000000000000000000000000000000000000000
deg: 5
c5: 70
c0: -43
skew: 0.91
# Murphy_E = 7.049e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 210639541975997271696140543758602936713645390292919948460464426589674070366910099127495173893745278457214225945062129943423946274583206352446225860120437189449473 (162 digits)
Using B1=51290000, B2=288593074786, polynomial Dickson(12), sigma=1:3079085994
Step 1 took 120687ms
Step 2 took 39991ms
********** Factor found in step 2: 18233120171286011618680018962291151411180428857645189
Found prime factor of 53 digits: 18233120171286011618680018962291151411180428857645189
Prime cofactor 11552577945913934171804927928526155067804624820947038197963780428974318844298137527372927477976427998805953357 has 110 digits

26819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337<206>

3525612691841796717716571447742461396593977021280549090597<58>
7607166673102896895035924993239057602596719975676720837964603242247454297832536031682543083611128181134404747535699168691579388841629444804314983421<148>

Number: n
N=26819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337
  ( 206 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Jun 16 14:27:57 2009  prp58 factor: 3525612691841796717716571447742461396593977021280549090597
Tue Jun 16 14:27:57 2009  prp148 factor: 7607166673102896895035924993239057602596719975676720837964603242247454297832536031682543083611128181134404747535699168691579388841629444804314983421
Tue Jun 16 14:27:57 2009  elapsed time 34:01:05 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20050930-k8
Total time: 109.38 hours.
Scaled time: 161.56 units (timescale=1.477).
Factorization parameters were as follows:
name: KA_7_206_3
n: 26819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337
m: 200000000000000000000000000000000000000000
deg: 5
c5: 175
c0: -344
skew: 1.14
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [10500000, 31534423)
Primes: RFBsize:1329943, AFBsize:1329867, largePrimes:40241582 encountered
Relations: rels:40602379, finalFF:1267324
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7729398 hash collisions in 46531126 relations
Msieve: matrix is 4107666 x 4107914 (1109.4 MB)

Total sieving time: 108.14 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 109.38 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368968k/3407296k available (2748k kernel code, 36964k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.71 BogoMIPS).

1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733<148>

77090367529769501016018458253764342767036473934264828222901<59>
14695635400282150495648037352787360723024444077873901413653201120323201672442943328591033<89>

CADO-NFS

STA:Tue Dec 17 08:08:22 AEDT 2024 (1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733 - C148)

./cado-nfs.py -t 16 --no-colors 1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733 2>&1 | tee -a log-30

Info:root: Using default parameter file ./parameters/factor/params.c148
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.jfu1yb1r
Info:Database: Opened connection to database /tmp/cado.jfu1yb1r/c148.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.jfu1yb1r/c148.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 119000000
Info:Complete Factorization / Discrete logarithm: Factoring 1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 6.909e-07
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733
skew: 436714.572
c0: -580093401045146946062906807294310
c1: -448445459833020996273214945
c2: 22954256868510154379385
c3: -30039703846785132
c4: -85403528398
c5: 8400
Y0: -48647649960089259628318280047
Y1: 47889711148969987321
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.909e-07
# f(x) = 8400*x^5-85403528398*x^4-30039703846785132*x^3+22954256868510154379385*x^2-448445459833020996273214945*x-580093401045146946062906807294310
# g(x) = 47889711148969987321*x-48647649960089259628318280047
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60455.48, WCT time 4278.84, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80000 iterations)
Info:Linear Algebra: Lingen CPU time 142.93, WCT time 62.04
Info:Linear Algebra: Mksol: CPU time 31499.24,  WCT time 2228.82, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 58.01/12.4073
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 14695635400282150495648037352787360723024444077873901413653201120323201672442943328591033 77090367529769501016018458253764342767036473934264828222901
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2889.94/233.446
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 1.4/0.901845
Info:Square Root: Total cpu/real time for sqrt: 2889.94/233.446
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 119065957
Info:Lattice Sieving: Average J: 7729.5 for 609654 special-q, max bucket fill -bkmult 1.0,1s:1.080600
Info:Lattice Sieving: Total time: 519579s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3247.51
Info:Polynomial Selection (root optimized): Rootsieve time: 3292.04
Info:Filtering - Singleton removal: Total cpu/real time for purge: 537.02/145.97                                                                                                                                                             Info:Linear Algebra: Total cpu/real time for bwc: 97832.8/6992.14
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60455.48, WCT time 4278.84, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80000 iterations)
Info:Linear Algebra: Lingen CPU time 142.93, WCT time 62.04
Info:Linear Algebra: Mksol: CPU time 31499.24,  WCT time 2228.82, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 714.33/53.6884
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 117089
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 111281/44.900/54.839/66.110/2.280
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 94057/42.190/47.754/59.340/1.212
Info:Polynomial Selection (size optimized): Total time: 45003.5
Info:Filtering - Merging: Total cpu/real time for merge: 294.84/28.803
Info:Filtering - Merging: Total cpu/real time for replay: 50.9/45.1273
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 476.31/310.348
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 310.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2029.01/1001.99
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 926.0999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 58.01/12.4073
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.11946e+06/78114.4 [21:41:54]
Info:root: Cleaning up computation data in /tmp/cado.jfu1yb1r
14695635400282150495648037352787360723024444077873901413653201120323201672442943328591033 77090367529769501016018458253764342767036473934264828222901

END:Wed Dec 18 05:50:18 AEDT 2024 (1132891934091242318379550651814410605875672956925067376640187859253785722075417115135950473757714882140924233841519318682012776435662438973593846733 - C148)

CADO-NFS

759538583057505139862982423791655565462551890673747009028534776437226108664075101777867663342877752916846181360797422283057661353847180780881470932704098041002923127052815509509541348460433<189>

2567036659623958872537989432603922079619101002418079417<55>
295881471037803075951068076445983984142015770184806584344842632042201338523640079469907274379268400216498932971657256373728451457457049<135>

Number: n
N=759538583057505139862982423791655565462551890673747009028534776437226108664075101777867663342877752916846181360797422283057661353847180780881470932704098041002923127052815509509541348460433
  ( 189 digits)
SNFS difficulty: 210 digits.
Divisors found:

Fri Aug  6 22:42:06 2021  p55 factor: 2567036659623958872537989432603922079619101002418079417
Fri Aug  6 22:42:06 2021  p135 factor: 295881471037803075951068076445983984142015770184806584344842632042201338523640079469907274379268400216498932971657256373728451457457049
Fri Aug  6 22:42:06 2021  elapsed time 02:54:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 7x10^209-43 = 7(208)3
#
n: 759538583057505139862982423791655565462551890673747009028534776437226108664075101777867663342877752916846181360797422283057661353847180780881470932704098041002923127052815509509541348460433
m: 500000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -215
skew: 1.14
# Murphy_E = 5.842e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 45900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9825013 hash collisions in 64240063 relations (56765308 unique)
Msieve: matrix is 2732518 x 2732743 (955.9 MB)

Sieving start time : 2021/08/06 01:51:48
Sieving end time  : 2021/08/06 19:46:28

Total sieving time: 17hrs 54min 40secs.

Total relation processing time: 2hrs 33min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

1575668169133999712271174033686126476715442752083196630517743473666690058869493467582874963263237091662357297489915050001764650719465906738624214310030383099507858734475642990319757727964162028963<196>

135136138730847580289981286880865363987906231311131493391<57>
11659857858394775274236631309096315679258681211588141057036424501407597517316220582405228569238090557913604610892902283925603970782685499693<140>

N=1575668169133999712271174033686126476715442752083196630517743473666690058869493467582874963263237091662357297489915050001764650719465906738624214310030383099507858734475642990319757727964162028963
  ( 196 digits)
SNFS difficulty: 210 digits.
Divisors found:
 r1=135136138730847580289981286880865363987906231311131493391 (pp57)
 r2=11659857858394775274236631309096315679258681211588141057036424501407597517316220582405228569238090557913604610892902283925603970782685499693 (pp140)
Version: Msieve v. 1.50
Total time:
Scaled time: 189.70 units (timescale=1.395).
Factorization parameters were as follows:
n: 1575668169133999712271174033686126476715442752083196630517743473666690058869493467582874963263237091662357297489915050001764650719465906738624214310030383099507858734475642990319757727964162028963
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -43
skew: 1.44
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [11500000, 30380001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4641603 x 4641836
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,210.000,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

1786673100545058020695316768206651257651947790324734036947873730793883213032079235612489597989331134607506972690972877114348575329919453278561904493551757771438086227017<169>

175662230418208501238358295320021732391783346426774597361023167041421130181426655564433729355471603053802609785879798329128846212571692354233289815976326081<156>

636197872932715714837224710393927251464230514396586563189884925847428649003634392369897582435701926479655381939398272438642690398817316909655275707590330156402402887288414270929999167258063<189>

5720143206123253442904814748145541301516668195610174958430712871348729641946444750603204081051485098747294608436270183961737996926436004649940512269056272121221501823<166>

3024223307536720085994159843093307<34>

1891442074356078127435530811303209306810261564412542247972987797125896592894268399142579972662858268228984818353299092343914997992589<133>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3496836667
Step 1 took 3564ms
Step 2 took 3300ms
********** Factor found in step 2: 3024223307536720085994159843093307
Found probable prime factor of 34 digits: 3024223307536720085994159843093307
Composite cofactor has 133 digits

GMP-ECM 6.2.3

1891442074356078127435530811303209306810261564412542247972987797125896592894268399142579972662858268228984818353299092343914997992589<133>

3604722958749891506061070169021722139290856851860732251<55>
524712188981098645027103877862128195680234053489568323268410531769806222134839<78>

Number: r133
N=1891442074356078127435530811303209306810261564412542247972987797125896592894268399142579972662858268228984818353299092343914997992589
  ( 133 digits)
Divisors found:
 r1=3604722958749891506061070169021722139290856851860732251 (pp55)
 r2=524712188981098645027103877862128195680234053489568323268410531769806222134839 (pp78)
Version: Msieve-1.40
Total time: 169.37 hours.
Scaled time: 304.53 units (timescale=1.798).
Factorization parameters were as follows:
# Murphy_E = 5.585441e-11, selected by Jeff Gilchrist
n: 1891442074356078127435530811303209306810261564412542247972987797125896592894268399142579972662858268228984818353299092343914997992589
Y0: -28753196669212767805967472
Y1: 533895942341003
c0: 69273206979804201420101961325175
c1: 1078248522433193681327382280
c2: -2871511884496871791963
c3: -63026344824218344
c4: 80639299412
c5: 96240
skew: 271298.22
type: gnfs
# selected mechanically
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 300000Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5650000, 12850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1587054 x 1587278
Total sieving time: 165.37 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11300000,11300000,28,28,54,54,2.6,2.6,100000
total time: 169.37 hours.
 --------- CPU info (if available) ----------

249722002922459711892083819287915280361504485061058946844223558855110408200046904943454200383277881149326852379088155078686245910839610555035539253992607568837328807474239713<174>

27874069434924672934513317117244698900177424185651757557862718170322901983218375355038107618372203707813553476874005442413932691924941440021621751435304398327491927396195634117087169<182>

687784420875648088408498513367769791230623112426131672702491685170540850460358188598649327100149732286909472854994339549059874840641709493566022638340836755927216123094083242517220999<183>

554206522591779134094215942013685643<36>
1241025489305293846683675573243943295576608422651010733645604793926146049682844445216588595873573455960163238051984662092340463519425788627937893493<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=236545908
Step 1 took 25912ms
Step 2 took 14071ms
********** Factor found in step 2: 554206522591779134094215942013685643
Found probable prime factor of 36 digits: 554206522591779134094215942013685643
Probable prime cofactor 1241025489305293846683675573243943295576608422651010733645604793926146049682844445216588595873573455960163238051984662092340463519425788627937893493 has 148 digits

GMP-ECM 6.3

32349303756140982366638500632066141116319673464587062506666215628176801423560827981638307922250321<98>

83917164802182940110279805322856967<35>
385490904422208015412208301554642767311267505646360635649004263<63>

Number: 77773_221
N=32349303756140982366638500632066141116319673464587062506666215628176801423560827981638307922250321
  ( 98 digits)
Divisors found:
 r1=83917164802182940110279805322856967
 r2=385490904422208015412208301554642767311267505646360635649004263
Version: 
Total time: 2.25 hours.
Scaled time: 5.38 units (timescale=2.390).
Factorization parameters were as follows:
name: 77773_221
n: 32349303756140982366638500632066141116319673464587062506666215628176801423560827981638307922250321
skew: 2071.43
# norm 3.18e+13
c5: 786480
c4: -909597786
c3: -6090742551109
c2: 5271076042794314
c1: 5464881154623239836
c0: -8918248740224616729200
# alpha -5.76
Y1: 861948791
Y0: -2102981693400790119
# Murphy_E 4.30e-09
# M 13704586428295265528822636952842921510667563363553767895424173946931554241498540878006403524405789
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4218915
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163307 x 163555
Polynomial selection time: 0.13 hours.
Total sieving time: 1.82 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 2.25 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3045996395676707772354524703808924940302529745519526418209027733011597787950762146001375888039566453339603594501064806780489989061001029987477696485460098315743<160>

21060798860106230025410960143695469193574556541043669392384513582941842509179315024420164763674640561794834406649563646816128346586139621322103849651872165979633753645424948985574374495198866259398395930914117821<212>

21853829103056414098841747057538010052761387405950485467203646467484624270238206737223314913677375042927164309575099122724860291592519746495582404545596453435734132559083387967906090974368580437700977178358465236801848209547<224>

8458505971912909206817868981<28>

2583651199824609680034453819884625327726724648528050962698862538834572380539968219106118313227233933547355672372029262918293850733930449356683602772128068063946794992912419603436233160706908852287<196>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3642532168
Step 1 took 16621ms
Step 2 took 13553ms
********** Factor found in step 2: 8458505971912909206817868981
Found probable prime factor of 28 digits: 8458505971912909206817868981
Composite cofactor has 196 digits

GMP-ECM 6.2.3

2583651199824609680034453819884625327726724648528050962698862538834572380539968219106118313227233933547355672372029262918293850733930449356683602772128068063946794992912419603436233160706908852287<196>

3268424644998194134668926725508037419<37>
790488226117887810540793950237699187941709671075729960468813840400333593229664531054095494283670534405471724719635981898450391180275560950945741222028460205373<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=111388330
Step 1 took 107001ms
Step 2 took 47484ms
********** Factor found in step 2: 3268424644998194134668926725508037419
Found probable prime factor of 37 digits: 3268424644998194134668926725508037419
Probable prime cofactor 790488226117887810540793950237699187941709671075729960468813840400333593229664531054095494283670534405471724719635981898450391180275560950945741222028460205373 has 159 digits

1259301745869358141721908030597225999452405830243357982295977657738670462995091830392064381617035595236469094482974921201570696442853147198953372291122609180817270229940616074719050475424625205401643411239<205>

2908320381034413808857048126521395670003<40>

432999663338829716805054895198447328647689582216186197618092388634922687705472885261747180890973801015718235807528615936803747785213397511121625724043071050743900413<165>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=533243054
Step 1 took 9968ms
Step 2 took 7223ms
********** Factor found in step 2: 2908320381034413808857048126521395670003
Found probable prime factor of 40 digits: 2908320381034413808857048126521395670003
Composite cofactor 432999663338829716805054895198447328647689582216186197618092388634922687705472885261747180890973801015718235807528615936803747785213397511121625724043071050743900413 has 165 digits

GMP-ECM 6.3

150259393588543428733875785648112832024896680565765171476135006684187493851155905013573395776546391730811756263986904996916467200991910335991915273910044724007709564946770185834586467868718217621710928698757<207>

3265286315532128387331482031865555931<37>
46017218420877239521978583980105352749836119675631969338147646537985190454284483319840792225927169359514503937390406840738243398806877345442244363450319901772863160470047<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1648843336
Step 1 took 108594ms
Step 2 took 50112ms
********** Factor found in step 2: 3265286315532128387331482031865555931
Found probable prime factor of 37 digits: 3265286315532128387331482031865555931
Probable prime cofactor 46017218420877239521978583980105352749836119675631969338147646537985190454284483319840792225927169359514503937390406840738243398806877345442244363450319901772863160470047 has 170 digits

10654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901065449010654490106544901<233>

70162570395366838677237918643007<32>
151854329830089387276948123171475465368043900564395635574907640527902177725953130967084760080446859468423858471494840344280032942052563119440955147796605889957623924505089000655025798808544614240070843<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=762880277
Step 1 took 18957ms
Step 2 took 8053ms
********** Factor found in step 2: 70162570395366838677237918643007
Found probable prime factor of 32 digits: 70162570395366838677237918643007
Probable prime cofactor has 201 digits

GMP-ECM 6.2.3

6430935006066455485388026588474586003444953448738606349926027053805427872084211291253304413183769998547550833954529106416866361110715390069937375945733545871799687469432757884418756019873891838824025463551642035301<214>

9044979390368389089170575389903218720523058236745874843328035559690403276866819139176390019511312684937525035210812626791228954271168482123244304893333850189298497241281285937641327802974506079518290240467237792508172784949154294427<232>

4550295717182440966715414178621218864371626090202769121682812594146912231143<76>
1987778367066013894909033755309013930160731764687910314560220345652735539219742103811876073612883617684821757757318601949637014708942019818271198048459858989<157>

N=9044979390368389089170575389903218720523058236745874843328035559690403276866819139176390019511312684937525035210812626791228954271168482123244304893333850189298497241281285937641327802974506079518290240467237792508172784949154294427
  ( 232 digits)
SNFS difficulty: 236 digits.
Divisors found:
 r1=4550295717182440966715414178621218864371626090202769121682812594146912231143 (pp76)
 r2=1987778367066013894909033755309013930160731764687910314560220345652735539219742103811876073612883617684821757757318601949637014708942019818271198048459858989 (pp157)
Version: Msieve v. 1.51
Total time:
Scaled time: 317.53 units (timescale=1.410).
Factorization parameters were as follows:
n: 9044979390368389089170575389903218720523058236745874843328035559690403276866819139176390019511312684937525035210812626791228954271168482123244304893333850189298497241281285937641327802974506079518290240467237792508172784949154294427
m: 1000000000000000000000000000000000000000
deg: 6
c6: 700
c0: -43
skew: 0.63
type: snfs
lss: 1
rlim: 62000000
alim: 62000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 160000
Factor base limits: 62000000/62000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [31000000, 69240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 10461137 x 10461369
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,236.000,6,0,0,0,0,0,0,0,0,62000000,62000000,30,30,60,60,2.7,2.7,100000
total time:

920818660001452657993304521628231899161323965502397739357124626176024554408825261632504017256550852640507244879116320896191092731623154731883139595187461260258114034397326879487575305466708513196100147097931963232313959<219>

122736122417505076145071489378128143<36>

7502425869941953794909984951246645027118703445788540834704903722955300114761849550848976903340129867807085506322089188663203014470516877125886097683139167633915142762616440117896636713<184>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=496467549
Step 1 took 161711ms
Step 2 took 53768ms
********** Factor found in step 2: 122736122417505076145071489378128143
Found probable prime factor of 36 digits: 122736122417505076145071489378128143
Composite cofactor 7502425869941953794909984951246645027118703445788540834704903722955300114761849550848976903340129867807085506322089188663203014470516877125886097683139167633915142762616440117896636713 has 184 digits

12007727334025205766176088186059076729705038444419820232912119408757944139416142005838263871222553600448051346084693312010072890828029114915882666273235486987095471225600168265405571680313237<191>

225856905131882755146492222793742934512030086208163685202540720198567862815092439445048880098217243665200679568899441606268527719323241320673701842068288905369542906003462349622950017430218379478922941791129246283603728644722227<228>

422262810754699899224223523091421172677568300718436896160572989109616650736765023477834495371894981169974595931218215568151941527303846070831201829228173449354282309146568090478436522569932471<192>

12136318098859169254629340286353157190532203212005716272314201115469933258125796198718413287707<95>
34793320949159464557588821320223508916234601041930418892457364324138608762062590611865799527612053<98>

Number: 77773_240
N = 422262810754699899224223523091421172677568300718436896160572989109616650736765023477834495371894981169974595931218215568151941527303846070831201829228173449354282309146568090478436522569932471 (192 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=12136318098859169254629340286353157190532203212005716272314201115469933258125796198718413287707 (pp95)
r2=34793320949159464557588821320223508916234601041930418892457364324138608762062590611865799527612053 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 92.32 hours.
Factorization parameters were as follows:
n: 422262810754699899224223523091421172677568300718436896160572989109616650736765023477834495371894981169974595931218215568151941527303846070831201829228173449354282309146568090478436522569932471 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -43
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 15084934 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.72 hours.
Total relation processing time: 1.12 hours.
Pruned matrix : 13756107 x 13756332
Matrix solve time: 70.99 hours.
time per square root: 1.49 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 92.32 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

215201982109428082297032067441995385695645414894708666987489189036807950211224994013468208685794654327879914235275870881473813047899252594322938238545625490913288730239980125226108940145078051751848501897007796379021<216>

27688778133776353783473754993868913413235235947945097108500454887069340611526442783117756417863217436019144812309639650330287567738617934417151220284007752857877457379059372651398283295755705866065424627190380127368379415371227403979272971797<242>

147803791508418175555074273469<30>

187334694537922847786332374691014861222601208364833920555120484053811064039560744117770151237267789426518709898544015747455022079756915518534598493789954675170924442769261275475794400002491732103243135770913504313<213>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=624630945
Step 1 took 6221ms
Step 2 took 4776ms
********** Factor found in step 2: 147803791508418175555074273469
Found probable prime factor of 30 digits: 147803791508418175555074273469
Composite cofactor has 213 digits

GMP-ECM 6.2.3

187334694537922847786332374691014861222601208364833920555120484053811064039560744117770151237267789426518709898544015747455022079756915518534598493789954675170924442769261275475794400002491732103243135770913504313<213>

2171315384709502196107123397966411<34>
86277053926454881393618828919138553247264408894442008540471886593276133020261147154949776616469155799444054035156604935523027901645829338395959207675823501064377092124649805910283<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=280344542
Step 1 took 34601ms
Step 2 took 16614ms
********** Factor found in step 2: 2171315384709502196107123397966411
Found probable prime factor of 34 digits: 2171315384709502196107123397966411
Probable prime cofactor 86277053926454881393618828919138553247264408894442008540471886593276133020261147154949776616469155799444054035156604935523027901645829338395959207675823501064377092124649805910283 has 179 digits

GMP-ECM 6.3

232304449509670841680270453170247548574204697399915732666244937669194346607839308885792543362084130796774375674853913180794707450801110433496325298349764426276426203948585634093439948101932650573539392502547366617753528948603051675413297<237>

3030922526391884026746903871157038742897321487355123<52>

76644799557517614028403289687160282439805251593152853350490742458742366346522602913385082806247948845445101151093159332826104197872876263120446375566575784768057512511767332545725374539<185>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Running on Hawk.local
Input number is 232304449509670841680270453170247548574204697399915732666244937669194346607839308885792543362084130796774375674853913180794707450801110433496325298349764426276426203948585634093439948101932650573539392502547366617753528948603051675413297 (237 digits)
[Thu Jul 21 14:28:54 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1445666929
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20   25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 1050240ms
Using 28 small primes for NTT
Estimated memory usage: 647M
Initializing tables of differences for F took 679ms
Computing roots of F took 29853ms
Building F from its roots took 19307ms
Computing 1/F took 9552ms
Initializing table of differences for G took 575ms
Computing roots of G took 25092ms
Building G from its roots took 27485ms
Computing roots of G took 25080ms
Building G from its roots took 27492ms
Computing G * H took 4048ms
Reducing  G * H mod F took 5187ms
Computing roots of G took 25087ms
Building G from its roots took 27537ms
Computing G * H took 4049ms
Reducing  G * H mod F took 5196ms
Computing roots of G took 25080ms
Building G from its roots took 27538ms
Computing G * H took 4050ms
Reducing  G * H mod F took 5196ms
Computing polyeval(F,G) took 46037ms
Computing product of all F(g_i) took 183ms
Step 2 took 345075ms
********** Factor found in step 2: 3030922526391884026746903871157038742897321487355123
Found probable prime factor of 52 digits: 3030922526391884026746903871157038742897321487355123
Composite cofactor 76644799557517614028403289687160282439805251593152853350490742458742366346522602913385082806247948845445101151093159332826104197872876263120446375566575784768057512511767332545725374539 has 185 digits

GMP-ECM

124879095364470059705192410035057682618684067837326216457709135049538048810753850955624188373077042741986830859342949281997422426120250219329754730451512034381358249770639815894305047511845273314917053269454246743117957<219>

24793263402880945368708521229471387259913998559223192185892282451572536234959362194950229386530664738056224558435924091860839714046810239682810503007946534685618171428818282915547372708173021166551720373292651301<212>

9824026961738370865004215675802754464509159362984703205408209069448601325822778402328527279730505911739767931077602482247743553841835715132554369894276093085437788599850839562595147322664823879452289288940055029<211>

1478786075997264233389262253944579<34>

6643305019702217832528512033112473246939285406013750732120366970355600262843921357648675699295546248165790771544798461016777750407223324157885108862482424819844523647693459248551<178>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 9824026961738370865004215675802754464509159362984703205408209069448601325822778402328527279730505911739767931077602482247743553841835715132554369894276093085437788599850839562595147322664823879452289288940055029 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1204808548
Step 1 took 6412ms
Step 2 took 3557ms
********** Factor found in step 2: 1478786075997264233389262253944579
Found probable prime factor of 34 digits: 1478786075997264233389262253944579
Composite cofactor 6643305019702217832528512033112473246939285406013750732120366970355600262843921357648675699295546248165790771544798461016777750407223324157885108862482424819844523647693459248551 has 178 digits

112875545514659600171468767246686047520251229338783975870550839113792063113081297560325629131609792949465617627163792012786032348746951280681413286408278420417789960340068211161523059610075469442357882551882611974034259209880037800969<234>

770119849193724334980610298359993254280747320360841977416257021070191688425635279809577184444630762244422606791937679592378670461722853292927394611202671333250289886318815630633161286387362467375151841261342540654291225156538691<228>

16150244516289562982955561074165813<35>
47684717616316033113008270937477577305457275491052506043778810695158658746201052567949940009552280520660508504728441927190795402254263600420596698418754355031945960124673275229388811762472506007<194>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 770119849193724334980610298359993254280747320360841977416257021070191688425635279809577184444630762244422606791937679592378670461722853292927394611202671333250289886318815630633161286387362467375151841261342540654291225156538691 (228 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3003943465
Step 1 took 7129ms
Step 2 took 3822ms
********** Factor found in step 2: 16150244516289562982955561074165813
Found probable prime factor of 35 digits: 16150244516289562982955561074165813
Probable prime cofactor 47684717616316033113008270937477577305457275491052506043778810695158658746201052567949940009552280520660508504728441927190795402254263600420596698418754355031945960124673275229388811762472506007 has 194 digits

387464664318503185471707812123881200220108817988431551128484731209872292388558603254836161031251661398392944695262777341150137993184199352494324644366689881389440347486787097062555728206738057854229725617304263928606399<219>

17799332554213882488401681188539468854117<41>
21768494022927467002666742909711079827148670973926065552189786775877804072398227164115929178895650706490647475721580227912748443593351667717271861415892275192196089433958050193747<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=418298403
Step 1 took 27328ms
Step 2 took 9397ms
********** Factor found in step 2: 17799332554213882488401681188539468854117
Found probable prime factor of 41 digits: 17799332554213882488401681188539468854117

850579134709509796454447084128371435866349155980929755942492034668091017402746646828217124502888130908364133699446715953844140614341915888431878140149307472596792656449457012562828015286513223952455655219142851496061257905458930616490622935093<243>

306476458672300209087790796638399889754085246298942648717863696991906445623056430138046862056045152260654443770350614638863428716845285455190735622894051938059165847186150317432916382225164170863859670373088410068702429493<222>

139128757226470853826304374338985746629838792510529984884795221736807334778450259030771870993029121825835164672295295325733694998879602776360040338099061132300348290993496917626343607086306423124816508808733032716162024118391148330236798148315303731<249>

1456540607773823336549440861879955406991<40>

95519998882224949588420367488882798788674045738527357435891195626367401224887941791876517988445485127188419217167402915087507574204923119441366514507298284078433401966592724757710827726485238437140222875898141<209>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 139128757226470853826304374338985746629838792510529984884795221736807334778450259030771870993029121825835164672295295325733694998879602776360040338099061132300348290993496917626343607086306423124816508808733032716162024118391148330236798148315303731 (249 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2522727808
Step 1 took 7956ms
Step 2 took 4165ms
********** Factor found in step 2: 1456540607773823336549440861879955406991
Found probable prime factor of 40 digits: 1456540607773823336549440861879955406991
Composite cofactor 95519998882224949588420367488882798788674045738527357435891195626367401224887941791876517988445485127188419217167402915087507574204923119441366514507298284078433401966592724757710827726485238437140222875898141 has 209 digits

53690773672567869877826079289957139921735447021186962932148422788028146092398344953067143197874181069804581871687387469048643241054963169141243495898134654148972255458872275992470933858410847442433795551530836622776343881230440142175062496609140349<248>

53712987985870228137422010263777737970008991075977785611320381322925377383610997304173076424076609573710560905674841257849675337815074152942470675638049885231559532467254932275455345178622738357499999293603432411<212>

701378731711481006168335290734572383799636787<45>
76582002785858055540257699418031067252393014315774028907272328100032557842259381294923505311929968329959378924955454834992074664740839178983134034961518660590135892153<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3578638819
Step 1 took 130042ms
Step 2 took 38860ms
********** Factor found in step 2: 701378731711481006168335290734572383799636787
Found probable prime factor of 45 digits: 701378731711481006168335290734572383799636787

83030705871937961141460039179384872985052207807273486416600681118819881817786159280925244559210992040411023083248584850557960842022774965415459004017827547230834431873557535508218369764340132350482062037874030647461754389538746143064615037192837853389<251>

1035118617199826691568663114731068789547076455339807260913477392270029914928037074991386334364015727888017910509559320429840399496636603864541420271467251065063120054535963717613726264360422387545452797851685247045845403555780324169576089351439036689040016207<259>

4929322741255936028262279806521403<34>

209992056015405090470916307413722609035482649471734846885467471838690633069945634655061707127070166174897444332725665894079839989620513596917704325863397477851447117072213614021969968833691494968766835284923215365670559439869<225>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4061748729
Step 1 took 47176ms
Step 2 took 15223ms
********** Factor found in step 2: 4929322741255936028262279806521403
Found probable prime factor of 34 digits: 4929322741255936028262279806521403

286144183929855088485442339026685452232410993669244618497169670416217096696268309904593782044622065040448768719835955704686227407394508795636878756381049457149459845391566440002386494899370665029030669<201>

13790538458683443469577676175842257493368477980225568274732994928590014093387516844344674756078916756100338971414319526283290278035981868797996518062885582612840671508630163452916762136630930925719167715571030906476549347603863023655782125191961157614933<254>

955855001962985710166106321220843418798296914884508056196875092699316808173229650703023451755386269170911863902146926550397302245089966649891894361580276237773855515802155089091968183698597002715854762863719732318003781<219>

171842224926196705979718843951812969<36>
86859360487421263614573788866619809993<38>

64039141703502925781819756780947437592873790178994513199129005949015385346290774077338645435220290959498070293267271131853882898715652141986959893<146>

Input number is 955855001962985710166106321220843418798296914884508056196875092699316808173229650703023451755386269170911863902146926550397302245089966649891894361580276237773855515802155089091968183698597002715854762863719732318003781 (219 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3736021660
Step 1 took 5928ms
Step 2 took 3026ms
********** Factor found in step 2: 171842224926196705979718843951812969
Found probable prime factor of 36 digits: 171842224926196705979718843951812969
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2503872806
Step 1 took 16302ms
Step 2 took 7301ms
********** Factor found in step 2: 86859360487421263614573788866619809993
Found probable prime factor of 38 digits: 86859360487421263614573788866619809993
Composite cofactor 64039141703502925781819756780947437592873790178994513199129005949015385346290774077338645435220290959498070293267271131853882898715652141986959893 has 146 digits

GMP-ECM 6.4.4

64039141703502925781819756780947437592873790178994513199129005949015385346290774077338645435220290959498070293267271131853882898715652141986959893<146>

138061569996098828732302558519821169094695066262841572999<57>
463844802759467850459876558532411169067705773371797669615762956811918608471382806184351107<90>

64039141703502925781819756780947437592873790178994513199129005949015385346290774077338645435220290959498070293267271131853882898715652141986959893=138061569996098828732302558519821169094695066262841572999*463844802759467850459876558532411169067705773371797669615762956811918608471382806184351107

cado polynomial
n: 64039141703502925781819756780947437592873790178994513199129005949015385346290774077338645435220290959498070293267271131853882898715652141986959893
skew: 2219800.679
c0: -1089065055302125675393275103568280
c1: 12726684963503723308141616326
c2: -151408506291470806231
c3: -99231949947155777
c4: -5325792850
c5: 1800
Y0: -51313952267411112755859274069
Y1: 172976196180548303
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.866e-07
# f(x) = 1800*x^5-5325792850*x^4-99231949947155777*x^3-151408506291470806231*x^2+12726684963503723308141616326*x-1089065055302125675393275103568280
# g(x) = 172976196180548303*x-51313952267411112755859274069

cado parameters (extracts)
tasks.I = 13
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87

cado log (extracts)
Info:Square Root: Factors: 138061569996098828732302558519821169094695066262841572999 463844802759467850459876558532411169067705773371797669615762956811918608471382806184351107
Info:Square Root: Total cpu/real time for sqrt: 2908.18/902.923
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49050025
Info:Lattice Sieving: Average J: 3952.81 for 1124890 special-q, max bucket fill -bkmult 1.0,1s:1.135580
Info:Lattice Sieving: Total time: 1.21957e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 17.7/4.72303
Info:Square Root: Total cpu/real time for sqrt: 2908.18/902.923
Info:Linear Algebra: Total cpu/real time for bwc: 222372/57207.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 143914.37, WCT time 36986.92, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109056 iterations)
Info:Linear Algebra: Lingen CPU time 758.67, WCT time 192.64
Info:Linear Algebra: Mksol: CPU time 76344.0,  WCT time 19509.43, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 821.02/936.189
Info:Filtering - Merging: Merged matrix has 3477835 rows and total weight 594882369 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 899.93/254.432
Info:Filtering - Merging: Total cpu/real time for replay: 149.48/135.907
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6535.15
Info:Polynomial Selection (root optimized): Rootsieve time: 6532.66
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1029.09/1022.75
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 856.2s
Info:Quadratic Characters: Total cpu/real time for characters: 139.19/60.5679
Info:Generate Free Relations: Total cpu/real time for freerel: 508.08/128.066
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 221.15/264.782
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 264.3s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78332/43.380/52.554/57.710/0.899
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63803/42.120/47.163/53.300/1.240
Info:Polynomial Selection (size optimized): Total time: 42009.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.59409e+06/471.528
138061569996098828732302558519821169094695066262841572999 463844802759467850459876558532411169067705773371797669615762956811918608471382806184351107

cado-nfs-3.0.0

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

8558773300108642901986538241723397513805120351350874838067298479173993493001591004886303336239854202459052819288846100411684150572386591257725127953812883229827970208088488013307782539515543177251398875637071399764078289692493912443<232>

30923678897046162088386922815737146238308220173569579701245482073518128695366794819213388643587794252993173286087222628838125331453525245632102565373940222399011745974000162517663823429290377630053448254927522323919861686571<224>

1838399277595226042654912971189318244676515039880146031828422048350095345820933560005863233078881277206782780437770823953721733366904605169967983987689364087788786559120413978733234327128123847118474456990232634537545527334367033731708941590386031098525009451145029<265>

777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<273>

20574062615500080246722395559207846498184991<44>
37803801432577337542545923282610136193837566925367389764944820760589975664116807130456746104212978102298232954591713320646449355019865902208173620517123406859681416375549881056334243986485075785845273769202990918830910127590530803<230>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2770515204
Step 1 took 116235ms
Step 2 took 46600ms
********** Factor found in step 2: 20574062615500080246722395559207846498184991
Found probable prime factor of 44 digits: 20574062615500080246722395559207846498184991
Probable prime cofactor 

1257511373476942685104343117383520360220964449004961404500809293811163636139143415584556968848594387548565406755006065336443433567913290576863454469075222403694773403456472074533266865214555739654592678664339225370574935632524551846399<235>

224660631335773577962755953430131633622426146639863661593580159814783118177556514892134528327553425016412605666586688014356827538695305318977149434509054643612842739616230106557582637631446628174007068940889783662441067947237235544006230088572404680984407443825603<264>

25598633108577050302234712150080879227272817540346442933381064688001674069106138399517160395708894282052774556725473464048012273478620619802453110869214590502641633769174999660157503301167871<191>