2323030797191032176060172857078046465138870277980828896592371826135653611090689420139183547157987504868205237165243564748675554705252541<136>

1336857265227055891602255144595312710366914084138447152868661721<64>
1737680497099652281480746842090914423799196760175286953572897766236908421<73>

Number: trial
N=2323030797191032176060172857078046465138870277980828896592371826135653611090689420139183547157987504868205237165243564748675554705252541
  ( 136 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1336857265227055891602255144595312710366914084138447152868661721 (pp64)
 r2=1737680497099652281480746842090914423799196760175286953572897766236908421 (pp73)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 65.51 hours.
Scaled time: 34.79 units (timescale=0.531).
Factorization parameters were as follows:
n: 2323030797191032176060172857078046465138870277980828896592371826135653611090689420139183547157987504868205237165243564748675554705252541
m: 5000000000000000000000000000000
c5: 56
c0: -265
skew: 1.36
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2700001)
Primes: RFBsize:216816, AFBsize:216291, largePrimes:5713559 encountered
Relations: rels:5732506, finalFF:501309
Max relations in full relation-set: 0
Initial matrix: 433173 x 501309 with sparse part having weight 30175485.
Pruned matrix : 383318 x 385547 with weight 22673806.
Total sieving time: 54.21 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 10.52 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 65.51 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20GHz, 1 Gig RAM, Windows XP and Cygwin

293026418583968992746656536950228061925053866003057901150847188822375646935590181201198901295151639664429222267982877800737159427578360943450593<144>

42538481348207485813121172033846526577279483<44>
6888502111425675766578155516284879416746833257639594662538596972928631754995038097561460112280873171<100>

Number: n
N=293026418583968992746656536950228061925053866003057901150847188822375646935590181201198901295151639664429222267982877800737159427578360943450593
  ( 144 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=42538481348207485813121172033846526577279483 (pp44)
 r2=6888502111425675766578155516284879416746833257639594662538596972928631754995038097561460112280873171 (pp100)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 44.00 hours.
Scaled time: 56.27 units (timescale=1.279).
Factorization parameters were as follows:
name: KA_3_8_157_3
n: 293026418583968992746656536950228061925053866003057901150847188822375646935590181201198901295151639664429222267982877800737159427578360943450593
skew: 1.36
deg: 5
c5: 56
c0: -265
m: 50000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:315948, AFBsize:315361, largePrimes:7625944 encountered
Relations: rels:7354460, finalFF:807928
Max relations in full relation-set: 28
Initial matrix: 631375 x 807928 with sparse part having weight 42602060.
Pruned matrix : 465064 x 468284 with weight 20824091.
Total sieving time: 40.25 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.27 hours.
Total square root time: 0.24 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 44.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

312863144721551801197818896933941181728792348261374810047376419057834987038526861535711093233217127022436756950031286314472155180119781889693394118172879234826137481<165>

1481894566930897165561217886297315643190412863<46>
211123754485119892507236798299021028208278038771361562866186890465260883878836081438303807062657374164385131676699256887<120>

Number: n
N=312863144721551801197818896933941181728792348261374810047376419057834987038526861535711093233217127022436756950031286314472155180119781889693394118172879234826137481
  ( 165 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=1481894566930897165561217886297315643190412863 (pp46)
 r2=211123754485119892507236798299021028208278038771361562866186890465260883878836081438303807062657374164385131676699256887 (pp120)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 94.40 hours.
Scaled time: 112.80 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_3_8_166_3
n: 312863144721551801197818896933941181728792348261374810047376419057834987038526861535711093233217127022436756950031286314472155180119781889693394118172879234826137481
type: snfs
skew: 0.43
deg: 5
c5: 3500
c0: -53
m: 1000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3200001)
Primes: RFBsize:348513, AFBsize:348001, largePrimes:7992903 encountered
Relations: rels:7653020, finalFF:801438
Max relations in full relation-set: 28
Initial matrix: 696581 x 801438 with sparse part having weight 45326608.
Pruned matrix : 601811 x 605357 with weight 28677270.
Total sieving time: 85.35 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 8.34 hours.
Total square root time: 0.33 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.6,2.6,100000
total time: 94.40 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8419539181425468806006365315094861322014249606974102335052229082073286916817362732334516441385931952781233787411201237061255889<127>

569618098720578477422424600101143173899<39>
14781024690642080932758969397118873168017503155014627158552385373431832745996639435957011<89>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 8419539181425468806006365315094861322014249606974102335052229082073286916817362732334516441385931952781233787411201237061255889 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2713672085
Step 1 took 11893ms
Step 2 took 6988ms
********** Factor found in step 2: 569618098720578477422424600101143173899
Found probable prime factor of 39 digits: 569618098720578477422424600101143173899
Probable prime cofactor 14781024690642080932758969397118873168017503155014627158552385373431832745996639435957011 has 89 digits

GMP-ECM 6.2.1

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

1056123484451864485860196229763977615884332123194476548802930056924154205342208938356587023654483801371879875439683279449403528714039431756768156306539291<154>

59462556413862442092449340501731601838252568471681890551614913937<65>
17761151691851101595704380123061264611926150229274494050475365714951019876727414514520043<89>

Number: n
N=1056123484451864485860196229763977615884332123194476548802930056924154205342208938356587023654483801371879875439683279449403528714039431756768156306539291
  ( 154 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Jul 26 20:46:42 2008  prp65 factor: 59462556413862442092449340501731601838252568471681890551614913937
Sat Jul 26 20:46:42 2008  prp89 factor: 17761151691851101595704380123061264611926150229274494050475365714951019876727414514520043
Sat Jul 26 20:46:42 2008  elapsed time 03:16:11 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 75.91 hours.
Scaled time: 132.69 units (timescale=1.748).
Factorization parameters were as follows:
name: KA_3_8_168_3
n: 1056123484451864485860196229763977615884332123194476548802930056924154205342208938356587023654483801371879875439683279449403528714039431756768156306539291
type: snfs
skew: 1.72
deg: 5
c5: 7
c0: -106
m: 10000000000000000000000000000000000
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
qintsize: 100000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2500001)
Primes: RFBsize:412849, AFBsize:412531, largePrimes:10050797 encountered
Relations: rels:9692589, finalFF:916683
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 75.46 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,50,50,2.6,2.6,100000
total time: 75.91 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

31518563508206123170533606775818926341813461469744316035754497428876018488801240914806375287180907369937643817139696371770090144207390617702764486352268521993327579<164>

3423371497246031422544753307472705733156021261934907<52>
9206877937016644470383489347435768756055010285968683328710645790936751051020760012596536946190038569116233788897<112>

Number: 38883_172
N=31518563508206123170533606775818926341813461469744316035754497428876018488801240914806375287180907369937643817139696371770090144207390617702764486352268521993327579
  ( 164 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=3423371497246031422544753307472705733156021261934907 (pp52)
 r2=9206877937016644470383489347435768756055010285968683328710645790936751051020760012596536946190038569116233788897 (pp112)
Version: Msieve-1.40
Total time: 59.97 hours.
Scaled time: 104.29 units (timescale=1.739).
Factorization parameters were as follows:
n: 31518563508206123170533606775818926341813461469744316035754497428876018488801240914806375287180907369937643817139696371770090144207390617702764486352268521993327579
m: 20000000000000000000000000000000000
deg: 5
c5: 875
c0: -424
skew: 0.87
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1046216 x 1046441
Total sieving time: 58.12 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 59.97 hours.

GGNFS, Msieve

17453911169924557576039346133779902931162217477346570291829558559498426489621005591757758283994513516027454699330159557616319274222151687<137>

12784808140356198637753477736329625023919025636230436513317350457<65>
1365207125387356235893034572442431178138739637961647242520793682987939391<73>

N = 17453911169924557576039346133779902931162217477346570291829558559498426489621005591757758283994513516027454699330159557616319274222151687 (137 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=12784808140356198637753477736329625023919025636230436513317350457 (pp65)
r2=1365207125387356235893034572442431178138739637961647242520793682987939391 (pp73)
Version: Msieve v. 1.48
Total time: 29.43 hours.
Factorization parameters were as follows:
name: (35*10^173-53)/9
n: 17453911169924557576039346133779902931162217477346570291829558559498426489621005591757758283994513516027454699330159557616319274222151687
Y0: 50000000000000000000000000000000000
Y1: -1
c0: -265
c1: 0
c2: 0
c3: 0
c4: 0
c5: 56
skew: 1.36
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20257651
Relations: 2163274 relations
Pruned matrix : 1239733 x 1239958
Polynomial selection time: 0.00 hours.
Total sieving time: 27.24 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.03 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 29.43 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

1110843546986706481635335957604728392774836548123921137043636283483663901631399020163691512009576987200391240874598393201562335940805917507500725871987722022740587968861<169>

59941189362710100228097893379657386691587779608483<50>
18532223981490952137422454348160549941746291840869053224943714010734094291188858722189609028088976883937490178912973567<119>

N=1110843546986706481635335957604728392774836548123921137043636283483663901631399020163691512009576987200391240874598393201562335940805917507500725871987722022740587968861
  ( 169 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=59941189362710100228097893379657386691587779608483 (pp50)
 r2=18532223981490952137422454348160549941746291840869053224943714010734094291188858722189609028088976883937490178912973567 (pp119)
Version: Msieve v. 1.46
Total time:
Scaled time: 17.48 units (timescale=0.672).
Factorization parameters were as follows:
n: 1110843546986706481635335957604728392774836548123921137043636283483663901631399020163691512009576987200391240874598393201562335940805917507500725871987722022740587968861
m: 100000000000000000000000000000000000
deg: 5
c5: 350
c0: -53
skew: 0.69
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1087267 x 1087495
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time:

5044128471268801172062513142983485358949897775689870766059301754241680504722143167099125805317082288533122296651679099968127315184968035371550200469<148>

179453563604459220457786431467562201979<39>

28108265837432833337210658721349366399240451211582210026643307789299797114731637428851375760114747154758315311<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1162767319
Step 1 took 13113ms
Step 2 took 6097ms
********** Factor found in step 2: 179453563604459220457786431467562201979
Found probable prime factor of 39 digits: 179453563604459220457786431467562201979
Composite cofactor 28108265837432833337210658721349366399240451211582210026643307789299797114731637428851375760114747154758315311 has 110 digits

GMP-ECM 6.4.2

28108265837432833337210658721349366399240451211582210026643307789299797114731637428851375760114747154758315311<110>

357310143567489075396301958980682992137751829<45>
78666296894881512634482837271732095548749245438662779512302340659<65>

N=28108265837432833337210658721349366399240451211582210026643307789299797114731637428851375760114747154758315311
  ( 110 digits)
Divisors found:
 r1=357310143567489075396301958980682992137751829 (pp45)
 r2=78666296894881512634482837271732095548749245438662779512302340659 (pp65)
Version: Msieve v. 1.48
Total time: 1.80 hours.
Scaled time: 1.90 units (timescale=1.056).
Factorization parameters were as follows:
name: c110
n: 28108265837432833337210658721349366399240451211582210026643307789299797114731637428851375760114747154758315311
skew: 15103.12
# norm 1.11e+15
c5: 37200
c4: 452314096
c3: 20094739842898
c2: 612422081466010381
c1: -4465449425447850341402
c0: 4265241783868151703227235
# alpha -5.57
Y1: 171277896757
Y0: -945492375802141738642
# Murphy_E 1.03e-09
# M 1586741065599127924088107727819993811956671307296755176412440300587955512004481393771286520354443184032795969
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 330813 x 331040
Polynomial selection time: 1.48 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 1.80 hours.
 --------- CPU info (if available) ----------

5231715197578208831447042887178669531402910572998083330570601096456072639171819460414476215122280855020505800755505877370747<124>

1252919402408328755421374091254262320800303<43>
4175619906214193298947641749972535268213753641612635366469178981999800565253855349<82>

Number: 38883_181
N=5231715197578208831447042887178669531402910572998083330570601096456072639171819460414476215122280855020505800755505877370747
  ( 124 digits)
Divisors found:
 r1=1252919402408328755421374091254262320800303
 r2=4175619906214193298947641749972535268213753641612635366469178981999800565253855349
Version: 
Total time: 107.58 hours.
Scaled time: 197.62 units (timescale=1.837).
Factorization parameters were as follows:
name: 38883_181
n: 5231715197578208831447042887178669531402910572998083330570601096456072639171819460414476215122280855020505800755505877370747
skew: 66716.52
# norm 3.33e+017
c5: 1075020
c4: -78698768752
c3: -17021611594094501
c2: 281519712989601017903
c1: 28582653678799695610438785
c0: 160056945615395880888497141625
# alpha -7.11
Y1: 54913199080289
Y0: -344704158686954209701182
# Murphy_E 1.72e-010
# M 1136309453548721671272440661601553980613918152128772920480184792812545192504107872685614962152046899738781232436031973902978
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 6040001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 744744 x 744992
Total sieving time: 107.58 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 107.58 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

161405240730642144672481853131812216198636683682842058952067906348287646449872546482023063619737303705260352835424425335174568490023047509098939383514574075740422529<165>

38318383373806351537607681181826429129839905829084025565775681295070856307241<77>
4212214256433777531277206086094423505388708957282813886269683781751264022676028788866969<88>

N=161405240730642144672481853131812216198636683682842058952067906348287646449872546482023063619737303705260352835424425335174568490023047509098939383514574075740422529
  ( 165 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=38318383373806351537607681181826429129839905829084025565775681295070856307241 (pp77)
 r2=4212214256433777531277206086094423505388708957282813886269683781751264022676028788866969 (pp88)
Version: Msieve-1.40
Total time: 206.61 hours.
Scaled time: 405.57 units (timescale=1.963).
Factorization parameters were as follows:
n: 161405240730642144672481853131812216198636683682842058952067906348287646449872546482023063619737303705260352835424425335174568490023047509098939383514574075740422529
m: 5000000000000000000000000000000000000
deg: 5
c5: 56
c0: -265
skew: 1.36
# Murphy_E = 6.715e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 7500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1337689 x 1337915
Total sieving time: 204.24 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 206.61 hours.
 --------- CPU info (if available) ----------

6413246980507068283769118258391718608827508253417789965201152595663441149012778030813611013381400349017821323944721879866420745813788683201<139>

3244644815681936725470196580769000846844432249912303714509078793<64>
1976563644042245328066058364734390793105543677779393032501178478507225144057<76>

N=6413246980507068283769118258391718608827508253417789965201152595663441149012778030813611013381400349017821323944721879866420745813788683201
  ( 139 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=3244644815681936725470196580769000846844432249912303714509078793 (pp64)
 r2=1976563644042245328066058364734390793105543677779393032501178478507225144057 (pp76)
Version: Msieve-1.40
Total time: 184.91 hours.
Scaled time: 355.40 units (timescale=1.922).
Factorization parameters were as follows:
n: 6413246980507068283769118258391718608827508253417789965201152595663441149012778030813611013381400349017821323944721879866420745813788683201
m: 5000000000000000000000000000000000000
deg: 5
c5: 112
c0: -53
skew: 0.86
# Murphy_E = 7.802e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 7150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1244525 x 1244750
Total sieving time: 182.78 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 184.91 hours.
 --------- CPU info (if available) ----------

24889035476511598944538129054094452769265329470959085828963866997882088325065309991820905493605886828307991181028189781983120016754589773986223<143>

5357536891317578397637923340653722177028221135924736966224989847023<67>
4645611590066091261137482030716284945316108885522107996668211777535933710401<76>

N=24889035476511598944538129054094452769265329470959085828963866997882088325065309991820905493605886828307991181028189781983120016754589773986223
  ( 143 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=5357536891317578397637923340653722177028221135924736966224989847023 (pp67)
 r2=4645611590066091261137482030716284945316108885522107996668211777535933710401 (pp76)
Version: Msieve-1.40
Total time: 209.35 hours.
Scaled time: 394.21 units (timescale=1.883).
Factorization parameters were as follows:
n: 24889035476511598944538129054094452769265329470959085828963866997882088325065309991820905493605886828307991181028189781983120016754589773986223
m: 10000000000000000000000000000000000000
deg: 5
c5: 35
c0: -53
skew: 1.09
# Murphy_E = 6.842e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1370779 x 1371004
Total sieving time: 206.85 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 209.35 hours.
 --------- CPU info (if available) ----------

4296903247045760404681566392709558249776375838073173734138233103051590025086694274069477220440443128436326254646445972141870621936192452892897314714249283242864810283<166>

2510314626677248776229674290019314757294555463<46>
1711699084004187407688822516597294868038941015348138931683563888897297634358722679874527495528186624665708080227552230141<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=654685677
Step 1 took 20436ms
Step 2 took 11435ms
********** Factor found in step 2: 2510314626677248776229674290019314757294555463
Found probable prime factor of 46 digits: 2510314626677248776229674290019314757294555463
Probable prime cofactor 1711699084004187407688822516597294868038941015348138931683563888897297634358722679874527495528186624665708080227552230141 has 121 digits

GMP-ECM 6.2.3

110683912985420942000590681645772578167997787577313301307664200882896213553704590192719813659569693709826142216816053326894455700753467374305078705718317868273784524701971667268247<180>

61864637177547297277611155335265220970688442096923627172830566515310468214323<77>
1789130560448704265671930317663645215498610410613810150019458213537652776866661570925135680335943384589<103>

Number: n
N=110683912985420942000590681645772578167997787577313301307664200882896213553704590192719813659569693709826142216816053326894455700753467374305078705718317868273784524701971667268247
  ( 180 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Feb 15 04:29:32 2012  prp77 factor: 61864637177547297277611155335265220970688442096923627172830566515310468214323
Wed Feb 15 04:29:32 2012  prp103 factor: 1789130560448704265671930317663645215498610410613810150019458213537652776866661570925135680335943384589
Wed Feb 15 04:29:32 2012  elapsed time 02:41:16 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_38883_189
n: 110683912985420942000590681645772578167997787577313301307664200882896213553704590192719813659569693709826142216816053326894455700753467374305078705718317868273784524701971667268247
m: 50000000000000000000000000000000000000
#  c180, diff: 190.54
skew: 0.86
deg: 5
c5: 112
c0: -53
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8660390 hash collisions in 77202288 relations (73084005 unique)
Msieve: matrix is 1177855 x 1178091 (330.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

5417883557922783864969826253963385894427051547468095199145235520418750836772245953634383163717937874963179719711478102520057874434848588144286582893624340464868424632093531<172>

15355857839443771229812981896854168462513<41>
352821940302557110604204129143796004098554107571304792162793007641218778671826976029782784778856565077282792072781015848064217277387<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4289319046
Step 1 took 92374ms
Step 2 took 31886ms
********** Factor found in step 2: 15355857839443771229812981896854168462513
Found probable prime factor of 41 digits: 15355857839443771229812981896854168462513

41723030138449245296308812400354984415916651723317563747212645757573725533683162467372692098491601896573117000765836210859210473240481314282634544240796723709638174733218347<173>

1107106218120488212336760878947259970690955657643846891<55>
37686564717594656743561155402859082709867164246778022495083236517002627829995734767173424015858814488650725952629473217<119>

N=41723030138449245296308812400354984415916651723317563747212645757573725533683162467372692098491601896573117000765836210859210473240481314282634544240796723709638174733218347
  ( 173 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=1107106218120488212336760878947259970690955657643846891 (pp55)
 r2=37686564717594656743561155402859082709867164246778022495083236517002627829995734767173424015858814488650725952629473217 (pp119)
Version: Msieve-1.40
Total time: 298.58 hours.
Scaled time: 578.95 units (timescale=1.939).
Factorization parameters were as follows:
n: 41723030138449245296308812400354984415916651723317563747212645757573725533683162467372692098491601896573117000765836210859210473240481314282634544240796723709638174733218347
m: 100000000000000000000000000000000000000
deg: 5
c5: 350
c0: -53
skew: 0.69
# Murphy_E = 3.815e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5650000, 10050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1863236 x 1863461
Total sieving time: 294.02 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 298.58 hours.
 --------- CPU info (if available) ----------

74243477544933195199721018884564753532476736984037248212062263178045358729126496935286755527092585387779607938542329058870850264718140427333783944788315471979579<161>

51487742095228317442924939124091581562038710193368570909271675272529836034026541<80>
1441964135999931337354171957198566278670873568884634970575400303519352382301293319<82>

Number: 383-5
N=74243477544933195199721018884564753532476736984037248212062263178045358729126496935286755527092585387779607938542329058870850264718140427333783944788315471979579
  ( 161 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=51487742095228317442924939124091581562038710193368570909271675272529836034026541 (pp80)
 r2=1441964135999931337354171957198566278670873568884634970575400303519352382301293319 (pp82)
Version: Msieve-1.40
Total time: 406.37 hours.
Scaled time: 783.48 units (timescale=1.928).
Factorization parameters were as follows:
n: 74243477544933195199721018884564753532476736984037248212062263178045358729126496935286755527092585387779607938542329058870850264718140427333783944788315471979579
m: 1000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -53
skew: 1.09
# Murphy_E = 2.653e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6600000, 12600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2459331 x 2459556
Total sieving time: 397.59 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 7.28 hours.
Time per square root: 1.25 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 406.37 hours.
 --------- CPU info (if available) ----------

2189095456224759740076700656540648160840915475143891532600121231949981658043704327729964558387398938717063501276376107417796071465573684498241392122192554187496059213406326149<175>

514806359815458649763079161501829743<36>
4252269643695698168328330433254915480275845783467216219695921082588566818129129419111983198983889030956016061164536160154228767390620250443<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=434895112
Step 1 took 13709ms
Step 2 took 6597ms
********** Factor found in step 2: 514806359815458649763079161501829743
Found probable prime factor of 36 digits: 514806359815458649763079161501829743
Probable prime cofactor has 139 digits

31215900357680066419631970020617217001157498828480633210666401870843623636922866548958446726966859485011262647416856264082086991661275471339187691002453856734593933366181<170>

3783709586990893027321821791099021866837631<43>
8250078300143916319364235495009315472733025070766478552200417975627466641643837070288928644800624983392700339656392160053337051<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=875829063
Step 1 took 88115ms
Step 2 took 40539ms
********** Factor found in step 2: 3783709586990893027321821791099021866837631
Found probable prime factor of 43 digits: 3783709586990893027321821791099021866837631
Probable prime cofactor 8250078300143916319364235495009315472733025070766478552200417975627466641643837070288928644800624983392700339656392160053337051 has 127 digits

11975982319844168730449782839262485171157872699818661307768611565121530583364243893734511939187169126204353379630235446984523166851570099294037833105635316481693892026916519803902559731<185>

1850995811256718499004882273777093909077956628103889495593672507664241<70>
6470021297192008920491840583145809103230082593104358289430132973091783882664153667744850471558095865900455842281891<115>

Number: n
N=11975982319844168730449782839262485171157872699818661307768611565121530583364243893734511939187169126204353379630235446984523166851570099294037833105635316481693892026916519803902559731  ( 185 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Aug 31 23:27:05 2021  p70 factor: 1850995811256718499004882273777093909077956628103889495593672507664241
Tue Aug 31 23:27:05 2021  p115 factor: 6470021297192008920491840583145809103230082593104358289430132973091783882664153667744850471558095865900455842281891
Tue Aug 31 23:27:05 2021  elapsed time 01:35:50 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 35x10^201-53 = 38(200)3
#
n: 11975982319844168730449782839262485171157872699818661307768611565121530583364243893734511939187169126204353379630235446984523166851570099294037833105635316481693892026916519803902559731
m: 10000000000000000000000000000000000000000
deg: 5
c5: 350
c0: -53
skew: 0.69
# Murphy_E = 1.466e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8889949 hash collisions in 64539085 relations (58383073 unique)
Msieve: matrix is 1922621 x 1922853 (666.2 MB)

Sieving start time : 2021/08/31 12:31:37
Sieving end time  : 2021/08/31 21:50:01

Total sieving time: 9hrs 18min 24secs.

Total relation processing time: 1hrs 10min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 24sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] 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, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

58655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941<200>

11232017060774229075595561404937778245080504718829971<53>
5222209037923149243932466227573968627844114122494927049151001432919018100725797239696193229020421363107772637250632029753975154088645977133324768071<148>

Number: n
N=58655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941
  ( 200 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Oct 11 08:52:44 2012  prp53 factor: 11232017060774229075595561404937778245080504718829971
Thu Oct 11 08:52:44 2012  prp148 factor: 5222209037923149243932466227573968627844114122494927049151001432919018100725797239696193229020421363107772637250632029753975154088645977133324768071
Thu Oct 11 08:52:44 2012  elapsed time 06:36:01 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_38883_202
n: 58655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941008882185352773588067705714764538293950058655941
m: 10000000000000000000000000000000000000000
#  c200, diff: 203.54
skew: 0.433
deg: 5
c5: 3500
c0: -53
# Murphy_E = 1.193e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35250000)
Primes: RFBsize:1109288, AFBsize:1108632,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9707872 hash collisions in 66458529 relations (59439139 unique)
Msieve: matrix is 1960463 x 1960688 (555.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

12428244796302724044501630767612886473684122329077693761142668346037392092739435981462983004366481794591610843402810674827277300210514746508881436851997301583659784978269356303474791<182>

1480602304152622384716173088199770229357<40>
8394046639969030217644979015910234388511287462665520800411766363135134526838860020523777843861335135451206224289839826090964092871329937772963<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4039518003
Step 1 took 84082ms
Step 2 took 29306ms
********** Factor found in step 2: 1480602304152622384716173088199770229357
Found probable prime factor of 40 digits: 1480602304152622384716173088199770229357

1226309350570212908612450950387541394326942901483194208402791721642404305998036917969276177873335026377666977706594679154485986232929810010528444012758563571660767<163>

16437554213570934273819779029709690678018225110003<50>
833588948710525884041760614104019508778263289772583137<54>
89497497772871909380754710341940714182929015872523890228997<59>

Number: n
N=1226309350570212908612450950387541394326942901483194208402791721642404305998036917969276177873335026377666977706594679154485986232929810010528444012758563571660767  ( 163 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Mar  4 06:41:45 2024  prp50 factor: 16437554213570934273819779029709690678018225110003
Mon Mar  4 06:41:45 2024  prp54 factor: 833588948710525884041760614104019508778263289772583137
Mon Mar  4 06:41:45 2024  prp59 factor: 89497497772871909380754710341940714182929015872523890228997
Mon Mar  4 06:41:45 2024  elapsed time 02:53:26 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 35x10^205-53 = 38(204)3
#
n: 1226309350570212908612450950387541394326942901483194208402791721642404305998036917969276177873335026377666977706594679154485986232929810010528444012758563571660767
m: 100000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -53
skew: 1.09
# Murphy_E = 1.012e-11
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3201892 hash collisions in 19655684 relations (16951342 unique)
Msieve: matrix is 2334385 x 2334610 (656.3 MB)

Sieving start time: 2024/03/03 03:05:33
Sieving end time  : 2024/03/04 03:47:52

Total sieving time: 24hrs 42min 19secs.

Total relation processing time: 2hrs 40min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 21sec.

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

2569312392338130200796482127494488255542842127294394954516849588120975998326550452593595696625114213577699397840291450391672556057538610503356024315174072988041335017270938133163822362621781161431<196>

43482305403210292918915087568623725498893<41>

59088688341452065764340500464522546771345709121442501242518712074975012997750967272804098884873052421281472885865332700704050805174985165963123538990449267<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1948056152
Step 1 took 26752ms
Step 2 took 9942ms
********** Factor found in step 2: 43482305403210292918915087568623725498893
Found probable prime factor of 41 digits: 43482305403210292918915087568623725498893

159539774245749507147450260398540384280263430251922875920493216756252808184919179201592772173601336451014018851128559292478479110067082828446926336338196607063062836381067223542527811087403500658192734349<204>

48177848535950441210590803442111361885346367073<47>
1432610062966689934006556899380092569261371851117<49>
2311498275817239377007204419393708788803902407015498336511657927742945791974821623596429305220746133606228289<109>

Number: n
N=159539774245749507147450260398540384280263430251922875920493216756252808184919179201592772173601336451014018851128559292478479110067082828446926336338196607063062836381067223542527811087403500658192734349
  ( 204 digits)
SNFS difficulty: 210 digits.
Divisors found:

Thu Aug 10 07:39:08 2017  prp47 factor: 48177848535950441210590803442111361885346367073
Thu Aug 10 07:39:08 2017  prp49 factor: 1432610062966689934006556899380092569261371851117
Thu Aug 10 07:39:08 2017  prp109 factor: 2311498275817239377007204419393708788803902407015498336511657927742945791974821623596429305220746133606228289
Thu Aug 10 07:39:08 2017  elapsed time 08:27:08 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.823).
Factorization parameters were as follows:
#
# 35x10^209-53 38(208)3
#
n: 159539774245749507147450260398540384280263430251922875920493216756252808184919179201592772173601336451014018851128559292478479110067082828446926336338196607063062836381067223542527811087403500658192734349
m: 500000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -53
skew: 0.86
# Murphy_E = 7.118e-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, 28300000)
Primes: RFBsize:1448221, AFBsize:1447371,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9025958 hash collisions in 61649823 relations (54948975 unique)
Msieve: matrix is 2693332 x 2693557 (762.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 7hrs 59min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 45sec.

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) ----------

23873905402838274987935369260272323221910890784693121299979893660915123360196482198574182667994401482115583531947078511336401172827306886465453939587475423089842647747748033812440818312841813610232959<200>

1123630735111455312568606579660322592687226929829<49>
2563995746893953727112955589311118233060071217097813<52>
8286717966320828674003877686032477865200651074240930466170918836220480000607615800822633373448354567<100>

CADO:

STA:Thu 23 Nov 00:55:15 AEDT 2017 (23873905402838274987935369260272323221910890784693121299979893660915123360196482198574182667994401482115583531947078511336401172827306886465453939587475423089842647747748033812440818312841813610232959 - C200)

# N = 35x10^210-53 38(209)3

...

Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 8.08385e+06/527344
Info:root: CADO_DEBUG is on, data kept in /tmp/cado._8reivyf
2563995746893953727112955589311118233060071217097813 8286717966320828674003877686032477865200651074240930466170918836220480000607615800822633373448354567 1123630735111455312568606579660322592687226929829

END:Wed 29 Nov 03:24:20 AEDT 2017 (23873905402838274987935369260272323221910890784693121299979893660915123360196482198574182667994401482115583531947078511336401172827306886465453939587475423089842647747748033812440818312841813610232959 - C200)

42974649038387902488763584334497158755402497016998673117664746407587167601676687491178296671957156477241249747693642170640573931407695770219322051810468895983614405082420403381<176>

444773194791341315154004117546919678002774780621451882824726181826305909906644060238121847229459801945378482111619360917222487663823396738288657319170350506646142770884228726582001085336283825157<195>

619002613838938209575246904033072954840611<42>
28426975499693666755326147511720076512166381<44>
25276414439697730121485613502543804895105795663432922977820863660571980493642281017161444120400091535943675827<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=503403126
Step 1 took 26715ms
Step 2 took 9961ms
********** Factor found in step 2: 28426975499693666755326147511720076512166381
Found probable prime factor of 44 digits: 28426975499693666755326147511720076512166381

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4169135290
Step 1 took 16491ms
********** Factor found in step 1: 619002613838938209575246904033072954840611
Found probable prime factor of 42 digits: 619002613838938209575246904033072954840611

332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999050332383665716999<213>

7787532045831235017365165797923493750593263<43>

42681514985858485861542545085718604339649515542150950518729534397801046465971651656906703367701372007491506382498829106849638811726990616436885218445398383378415310477673<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2348342888
Step 1 took 31492ms
Step 2 took 11176ms
********** Factor found in step 2: 7787532045831235017365165797923493750593263
Found probable prime factor of 43 digits: 7787532045831235017365165797923493750593263

124757075695571490955058544752911660833560480323296198855079364926601313207236723093579106198248759977046123867165652195594428434547144825605826597431479938652312046247376670590811370473942506450208150051822307<210>

6761209523466165400344087962784651014215973009<46>
887408357133030426459884229222095372988747574169039759816858743633<66>
20793005932551048130150897627175342740781657204685202061190220371290197741676696335121879015000131<98>

#
# N = 35x10^215-53 = 38(214)3
#
n: 124757075695571490955058544752911660833560480323296198855079364926601313207236723093579106198248759977046123867165652195594428434547144825605826597431479938652312046247376670590811370473942506450208150051822307
m: 1000000000000000000000000000000000000
deg: 6
c6: 7
c0: -106
skew: 1.57
# Murphy_E = 3.759e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 124757075695571490955058544752911660833560480323296198855079364926601313207236723093579106198248759977046123867165652195594428434547144825605826597431479938652312046247376670590811370473942506450208150051822307 (210 digits)
Using B1=200040000, B2=2383901369866, polynomial Dickson(30), sigma=1594285377
Step 1 took 1030746ms
********** Factor found in step 1: 6761209523466165400344087962784651014215973009
Found probable prime factor of 46 digits: 6761209523466165400344087962784651014215973009
Composite cofactor 18451887234462480886395298931409041988757955665128630461608497302738378186773898422521909086033451650035888793863834205129782259815966851436687153331663569990415923 has 164 digits



Number: n
N=124757075695571490955058544752911660833560480323296198855079364926601313207236723093579106198248759977046123867165652195594428434547144825605826597431479938652312046247376670590811370473942506450208150051822307
  ( 210 digits)
SNFS difficulty: 216 digits.
Divisors found:

Fri Feb 14 12:19:40 2020  found factor: 887408357133030426459884229222095372988747574169039759816858743633
Fri Feb 14 12:27:43 2020  p46 factor: 6761209523466165400344087962784651014215973009
Fri Feb 14 12:27:43 2020  p66 factor: 887408357133030426459884229222095372988747574169039759816858743633
Fri Feb 14 12:27:43 2020  p98 factor: 20793005932551048130150897627175342740781657204685202061190220371290197741676696335121879015000131
Fri Feb 14 12:27:43 2020  elapsed time 09:09:31 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.720).
Factorization parameters were as follows:
#
# N = 35x10^215-53 = 38(214)3
#
n: 124757075695571490955058544752911660833560480323296198855079364926601313207236723093579106198248759977046123867165652195594428434547144825605826597431479938652312046247376670590811370473942506450208150051822307
m: 1000000000000000000000000000000000000
deg: 6
c6: 7
c0: -106
skew: 1.57
# Murphy_E = 3.759e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 61700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8739049 hash collisions in 58004378 relations (51758942 unique)
Msieve: matrix is 3627950 x 3628176 (1266.5 MB)

Sieving start time: 2020/02/12 22:25:26
Sieving end time  : 2020/02/14 03:16:35

Total sieving time: 28hrs 51min 9secs.

Total relation processing time: 8hrs 35min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 2sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149595] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283240K/16703460K available (12300K kernel code, 2481K rwdata, 4260K rodata, 2428K init, 2704K bss, 420220K reserved, 0K cma-reserved)
[    0.184568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.70 BogoMIPS (lpj=11977400)
[    0.182219] smpboot: Total of 16 processors activated (95819.20 BogoMIPS)

1833819490476371359247903847403220882932007440404111786718827535559238251359410077176782990110632610475963184650193314609258155472151130674208732891153635854529501556301345793893460878764487439253<196>

6047650265836562735377788159001434105226038963420994715096664691504089844445277292281053936798287899842341213369792716095978421430923470839103007674450908345838578158026380092365589720114227327061090615624360191<211>

48152130931997515226076923581474607657<38>

125594654873681734690235288339141543297803890892889518269184149056442188757406088651576811242229752881781182535267809283344588415909590225060631523977658008487625001204895463<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3332148087
Step 1 took 26618ms
Step 2 took 10656ms
********** Factor found in step 2: 48152130931997515226076923581474607657
Found probable prime factor of 38 digits: 48152130931997515226076923581474607657

490865759574792444425931792940480843683237873967832024054105187483371922394403905945071560514141211420230317019339690185167186774000776128889567686110700887583466463139698010969867994977461548030723708633865894633<213>

3721874214043881648490792260710742788771161243213402722827<58>
131886713882643062908930419398664827773108400923586759556942675155019872167968792380932614920718802784794400493864431277249995403095746378158205211651461979<156>

Number: n
N=490865759574792444425931792940480843683237873967832024054105187483371922394403905945071560514141211420230317019339690185167186774000776128889567686110700887583466463139698010969867994977461548030723708633865894633
  ( 213 digits)
SNFS difficulty: 219 digits.
Divisors found:

Sun Jun  3 23:32:03 2018  p58 factor: 3721874214043881648490792260710742788771161243213402722827
Sun Jun  3 23:32:03 2018  p156 factor: 131886713882643062908930419398664827773108400923586759556942675155019872167968792380932614920718802784794400493864431277249995403095746378158205211651461979
Sun Jun  3 23:32:03 2018  elapsed time 08:04:16 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# 35x10^218-53 = 38(217)3
#
n: 490865759574792444425931792940480843683237873967832024054105187483371922394403905945071560514141211420230317019339690185167186774000776128889567686110700887583466463139698010969867994977461548030723708633865894633
m: 1000000000000000000000000000000000000
deg: 6
c6: 3500
c0: -53
skew: 0.50
# Murphy_E = 2.206e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 86400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15151038 hash collisions in 76326846 relations (61874154 unique)
Msieve: matrix is 4336198 x 4336423 (1227.6 MB)

Sieving start time: 2018/06/01 08:46:06
Sieving end time  : 2018/06/03 15:25:24

Total sieving time: 54hrs 39min 18secs.

Total relation processing time: 7hrs 25min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 49sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

36365855473386624268122662388804894819321945641893664115765041637326492236864891777516425409372259350835020970756843793358855243877538722175285048771640280050079047712201<170>

853119113182587575838044984059029571<36>

42626937916937133500219995948518434565999433546916371813872500909701280039150791217605737932906808356985407918868452558896133416310531<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1613257862
Step 1 took 19410ms
Step 2 took 8261ms
********** Factor found in step 2: 853119113182587575838044984059029571
Found probable prime factor of 36 digits: 853119113182587575838044984059029571

42626937916937133500219995948518434565999433546916371813872500909701280039150791217605737932906808356985407918868452558896133416310531<134>

22120220243499678394995841304375251265995328809937<50>
1927057572108199395992984469756052597622756640823105865791312448731619344299583868563<85>

Number: 38883_219
N = 42626937916937133500219995948518434565999433546916371813872500909701280039150791217605737932906808356985407918868452558896133416310531 (134 digits)
Divisors found:
r1=22120220243499678394995841304375251265995328809937 (pp50)
r2=1927057572108199395992984469756052597622756640823105865791312448731619344299583868563 (pp85)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 167.81 hours.
Factorization parameters were as follows:
# Murphy_E = 5.145e-11, selected by Erik Branger
n: 42626937916937133500219995948518434565999433546916371813872500909701280039150791217605737932906808356985407918868452558896133416310531
Y0: -64467730125024691510012784
Y1: 217101255433319
c0: -59521993488467801737098820900875
c1: 691311173252559387548019003
c2: -771957036609492620621
c3: -16631678798937067
c4: 8149464064
c5: 38280
skew: 389991.7
type: gnfs
# selected mechanically
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6150000, 14150000)
Relations: 20507415
Relations in full relation-set: 3105436 relations
Pruned matrix : 1856461 x 1856687
Polynomial selection time: 0.00 hours.
Total sieving time: 164.82 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.74 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12300000,12300000,28,28,54,54,2.6,2.6,100000
total time: 167.81 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

256873927635418193366569667572322820612673644510471204593111262947921382023683187531562811424580816824802865557468556851817444210190564460066379613026176050914282190956537982350778177<183>

641844565726751421889213419033137494738751978793426140412579671<63>
400212047202679855994151924288945527841692682460665073874018385165136666168790763792387275292221631281629242426052910887<120>

Number: 38883_220
N = 256873927635418193366569667572322820612673644510471204593111262947921382023683187531562811424580816824802865557468556851817444210190564460066379613026176050914282190956537982350778177 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=641844565726751421889213419033137494738751978793426140412579671 (pp63)
r2=400212047202679855994151924288945527841692682460665073874018385165136666168790763792387275292221631281629242426052910887 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 93.32 hours.
Factorization parameters were as follows:
n: 256873927635418193366569667572322820612673644510471204593111262947921382023683187531562811424580816824802865557468556851817444210190564460066379613026176050914282190956537982350778177
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 35
c0: -53
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 32776668
Relations: 9332386 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 46.74 hours.
Total relation processing time: 0.29 hours.
Pruned matrix : 8047528 x 8047753
Matrix solve time: 46.10 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 93.32 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<223>

2211329686735456150831837129875558398777556276369020626987<58>
1758620124450995545213674359669486009526677362376347065853752706382689866568902305182288989370075674166682257970346841896044639008571009780463993839417592178974058009<166>

N=3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 223 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=2211329686735456150831837129875558398777556276369020626987 (pp58)
 r2=1758620124450995545213674359669486009526677362376347065853752706382689866568902305182288989370075674166682257970346841896044639008571009780463993839417592178974058009 (pp166)
Version: Msieve v. 1.51 (SVN Unversioned directory)
Total time:
Scaled time: 320.91 units (timescale=1.858).
Factorization parameters were as follows:
n: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 10000000000000000000000000000000000000
deg: 6
c6: 35
c0: -53
skew: 1.07
# Murphy_E = 1.51e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 640000
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [18500000, 86340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7482884 x 7483106
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time:

2276195127252046090438502593180216274552894088874452450984132176669657716483493570930183472212258174556799444000581362743140565337500525223660567802681276800149781865696340896834812058729326556425360786929<205>

42838330985596766718832897425489450696515337454738475756924666114807810307591433856157572717937487452791964172466448291013796797583123958649546318951498985675848969376569418891863445180049586951603<197>

246028722055437561969368522877168094865756408880388873561498193227657706468974308039574385613172653926279763324035726028588754514336503462008335936267517661604887621916298111766131002764493507<192>

5767870716913342834773491102368685050418352041322427570021004199784112075067123274286378478284900453110059310266760543378082306391611012933219972378103141025387264076792871062143626037<184>

260433589115609647531868239520688312194981<42>

22147184380095129183845004817806672681097575187389983237128474466012880082774419755846292662105057892439271290249568577063358580372441504362577<143>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2946303289
Step 1 took 15945ms
Step 2 took 12277ms
********** Factor found in step 2: 260433589115609647531868239520688312194981
Found probable prime factor of 42 digits: 260433589115609647531868239520688312194981
Composite cofactor has 143 digits

22147184380095129183845004817806672681097575187389983237128474466012880082774419755846292662105057892439271290249568577063358580372441504362577<143>

12715623088618055268081532113753869<35>
1741730171281925282237310496276956996986040618759161725362881809954781699933128762454252375454635316785442133<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3592219442
Step 1 took 22936ms
Step 2 took 9221ms
********** Factor found in step 2: 12715623088618055268081532113753869
Found probable prime factor of 35 digits: 12715623088618055268081532113753869

1178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451<229>

1713915868327863068890523586611<31>

687578194605843368148788106737192267105690037142107073865514029506195928608437038443657628519143035038092685530718639376338098353074385659475812911475512998912413154472222865945830407745991818153441<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3569313594
Step 1 took 30837ms
Step 2 took 11389ms
********** Factor found in step 2: 1713915868327863068890523586611
Found probable prime factor of 31 digits: 1713915868327863068890523586611

687578194605843368148788106737192267105690037142107073865514029506195928608437038443657628519143035038092685530718639376338098353074385659475812911475512998912413154472222865945830407745991818153441<198>

9971271494425309358065969726963<31>

68955919512396316493889475590774234536780766804553400236095803912726038549592132792148686380490035051266275081833313733635446668287328918100546662710081836107558546907<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3239357472
Step 1 took 26821ms
Step 2 took 9985ms
********** Factor found in step 2: 9971271494425309358065969726963
Found probable prime factor of 31 digits: 9971271494425309358065969726963

1166477808223818212012936313551417010111848489736458786080644097999708768734010084914748613692074720248484980775836324532496192754397584484378676932218423796694245060997008939149001042209212365200570315260337<208>

846336148890643962078191311818024932282473<42>
1378267736469496012120238459698212053081213104411737575179854008744577802824691330183530128573704235985632130495461998579504099396080379880294779007225138991249128969<166>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=718503599
Step 1 took 379632ms
Step 2 took 89755ms
********** Factor found in step 2: 846336148890643962078191311818024932282473
Found probable prime factor of 42 digits: 846336148890643962078191311818024932282473

11519799501344631899778207439729818217067128613847475097552136221729272154332037088047754813658400201677467411782268414998378939295523673664299726558256334120654034560092365633804964266231858477<194>

59537184670018598557348686573673681931325400447697643273309243578205502425354350650976590035328081221561798275198086951706679111092596997101936368958888844898647319141773498340780632371728020563<194>

17916410273918295347512346551<29>
3323053209865901034961907980663566262522247924531267494840345421061834573712022233647330464803722624493433121933494635215177222904023022971734054706888266963929145413<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=154233393
Step 1 took 27137ms
Step 2 took 9999ms
********** Factor found in step 2: 17916410273918295347512346551
Found probable prime factor of 29 digits: 17916410273918295347512346551

27636329703671190228866734719033209636564323186937798674911546909055308664184761015983417181879599821998157125570458446523773438812127135361758433485354330227590805879115423161243273207371206512860793286361197<209>

42531795384706727295626454541003179880783<41>

649780463149892328547037623271720925090938220199091597790057912353768755858106953467032461561979821419094562886096103695088640124350512544294791110801134712474857565059<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3778843539
Step 1 took 26738ms
Step 2 took 10274ms
********** Factor found in step 2: 42531795384706727295626454541003179880783
Found probable prime factor of 41 digits: 42531795384706727295626454541003179880783

649780463149892328547037623271720925090938220199091597790057912353768755858106953467032461561979821419094562886096103695088640124350512544294791110801134712474857565059<168>

95602497405666682945081668268956221359<38>

6796689216105955467258635779838572682798332218121088701545861511217994422518936905919138808895522867746502154645514259865330504301<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4146876337
Step 1 took 71911ms
Step 2 took 26893ms
********** Factor found in step 2: 95602497405666682945081668268956221359
Found probable prime factor of 38 digits: 95602497405666682945081668268956221359

6796689216105955467258635779838572682798332218121088701545861511217994422518936905919138808895522867746502154645514259865330504301<130>

25859894362725814582727091577428278992277660801<47>
262827416105095669219078927420989902336340248818971848959613883614847820788408043501<84>

prp84 = 262827416105095669219078927420989902336340248818971848959613883614847820788408043501
prp47 = 25859894362725814582727091577428278992277660801
NFS elapsed time = 35438.8389 seconds.

9928053144643554969300784396165716972095797077759500396086045837021548394844570761961749972436792896244604445965266560423737691410511214019839035108860832626144698876224599632911621177005636675909017<199>

1446556202971246676381169645982505902972806844992609994731791011427251345214323736112420194178464347814568438437036102092428043264047612096685058396983946701131781167439141810441455187471320620914323435874415117388937<217>

1238041300804766145683161736884993521209804233<46>

1168423219831954899428878275287027916391722793834011419404820829265291907052775797836292759222512566190770606686473855122764014463700900487280421182327692452335501266743489<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=768727814
Step 1 took 30839ms
Step 2 took 11131ms
********** Factor found in step 2: 1238041300804766145683161736884993521209804233
Found probable prime factor of 46 digits: 1238041300804766145683161736884993521209804233

6501103337063757672689901957221059155745942919042832071506700290625297087962532614120779711145148713811397042927316329220990960807183337331474854661383468719812573161233110034256169237297006204937390249<202>

10603216083210288538596374187599<32>
613125610762376121617201275062000917764101747978344312532306545657870126108298833062576908573864905280099751222457482711687569531125172151742513431635742090483441655657351<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2281734499
Step 1 took 26622ms
********** Factor found in step 1: 10603216083210288538596374187599
Found probable prime factor of 32 digits: 10603216083210288538596374187599

18436253399513644800924867373123310889534929464590655194826922409020002482010448806109391986005001781146936561523177900164816645700458492593735067129668050986563610116934645138917288211777109879720354083591665807954307<218>

5011230261048494245936009727521<31>

3678987481939464421106191480151200353605799761284693476375580476329138008580486889459944114678153529006738840515659242201569262153039103980546499198309300020739793368810528034474590962467<187>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=414527949
Step 1 took 31519ms
Step 2 took 11077ms
********** Factor found in step 2: 5011230261048494245936009727521
Found probable prime factor of 31 digits: 5011230261048494245936009727521

4267151596129361035284081769983569338500230227577030197650244994286546512555082877440476766033326976454328327039240180278227606175996250563339021040060614680900484433234293349691997<181>

997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997<243>

166922864582579531090089235136377458246675063<45>

5973723250224296780694563060696388963984778876304335252276951757549849243582591461500530967765231186367922832808501351188131444211449418969223172138992402050177807685949631888874979595007496654449619<199>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997 (243 digits)
[Sat Mar 02 07:08:13 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1942982504
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1141937ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 750ms
Computing roots of F took 31203ms
Building F from its roots took 17797ms
Computing 1/F took 8235ms
Initializing table of differences for G took 625ms
Computing roots of G took 26172ms
Building G from its roots took 17703ms
Computing roots of G took 26266ms
Building G from its roots took 17781ms
Computing G * H took 4578ms
Reducing  G * H mod F took 4312ms
Computing roots of G took 26282ms
Building G from its roots took 17875ms
Computing G * H took 4594ms
Reducing  G * H mod F took 4156ms
Computing roots of G took 26219ms
Building G from its roots took 17875ms
Computing G * H took 4578ms
Reducing  G * H mod F took 4329ms
Computing polyeval(F,G) took 36484ms
Computing product of all F(g_i) took 141ms
Step 2 took 299141ms
********** Factor found in step 2: 166922864582579531090089235136377458246675063
Found probable prime factor of 45 digits: 166922864582579531090089235136377458246675063
Composite cofactor 5973723250224296780694563060696388963984778876304335252276951757549849243582591461500530967765231186367922832808501351188131444211449418969223172138992402050177807685949631888874979595007496654449619 has 199 digits

GMP-ECM

81152950474752109677217240335041463884330750703363290219127893399990687033942124520019985776473787966078528273808373672968486066092011847766914243141397586861949833515455868997323923880801396269089<197>

322466379132604472270252323<27>

251663291822991666598628329238441058233560210885995246308093154779667561671136830018138843190205096944052053603851455375271225222091235775933520858371022177012544157630443<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=402567570
Step 1 took 26680ms
********** Factor found in step 1: 322466379132604472270252323
Found probable prime factor of 27 digits: 322466379132604472270252323

3035910300129235149924434541952771172884338537671571864989902468583381192355343178973081318789626357721780591629179247899844299456366119371369982139365580205579274682467853073882446975176693650758028073790832351591981<217>

44583294197321556670947288349536704246629761637324465203536983647077356077989501001328113278206067129793927030049294801954333056356306230618504342292034091844878331687618093447749153230416821365761523800621999650902361206045981644634110287<239>

278551952168460016023111918572243270587464777590945630872928610019956352063134458253033488538827165168896009979018547066313176962596860172105567260164834319345802661419952729453758609975460842235060441948381735347581727707243020854037<234>

2359769998459626237613178487397<31>

118041992376498050208170593998066193761106128732697918016484974701505968239605400958138167899714420347255055350565468134876914686834970980447454091231262854630870112828387132048795703489813427819269307121<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2239419757
Step 1 took 35011ms
Step 2 took 12242ms
********** Factor found in step 2: 2359769998459626237613178487397
Found probable prime factor of 31 digits: 2359769998459626237613178487397

118041992376498050208170593998066193761106128732697918016484974701505968239605400958138167899714420347255055350565468134876914686834970980447454091231262854630870112828387132048795703489813427819269307121<204>

1965911233078599030818748933626436041<37>
60044416243375021849404006933098936560348815554580263007896817612130167242184776818827939884351749050882027197108158188807635062095809353300800176593820089265560955881<167>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1974719302
Step 1 took 18581ms
Step 2 took 13709ms
********** Factor found in step 2: 1965911233078599030818748933626436041
Found probable prime factor of 37 digits: 1965911233078599030818748933626436041
Probable prime cofactor has 167 digits

11500537223206871933069497733168247211490535523236087735128042297701567378379063411127512822179664846811235039903761503160874917467832881961365959086378510918419735085245091965786038989064852510852964436163503379497139605363102263<230>

43530285584060722111965389020887997092360353414465841844732243133851944301706942722591286347191426110320236844815684778151660749251337279263834730234555904811935137852364313652859481579628442685774379466361938029103<215>

36713598092563890694517813047263444598993<41>

1185672008347160851185693648190031341079683366593034247959264376190819209663111825063423877102842393480676069028361657747760163296783714759221068549360971338845419832190614271<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3960480310
Step 1 took 8547ms
Step 2 took 4234ms
********** Factor found in step 2: 36713598092563890694517813047263444598993
Found prime factor of 41 digits: 36713598092563890694517813047263444598993
Composite cofactor 1185672008347160851185693648190031341079683366593034247959264376190819209663111825063423877102842393480676069028361657747760163296783714759221068549360971338845419832190614271 has 175 digits

GMP-ECM

4717160557121607386418278475962417882167958803875159796152387993641262060973854716083855810339667676777762719800844687071422437263220909490160760447689884375863487088186866462551852658560519286544897626916750805372379398759028754010094865027<241>

4837167408855394549355004588334583993999988038452338497393477205557334662155247902357773295569612340365958203588392876106747966468663738967585178876216044131945243061418524692496813490304822836480767991682091355577233535313975843626566450281<241>

86718372419799083790575830337138809302429487316078318534716696596809496570031163243785138215190802131414291252752468849752647674124420100165187600267205953543108104307340989094272457526724391016779561<200>

16700929359084157253072482011020264324261081230490957225058276997732942074018625286596953456675556558544667398885966710146004142237979357420925917167524119779092694519289060997555482030138280064686907114161324237151110805700325761502306019<239>

61199825752426384742707122565378151457007224367866096627139121873033137933665413072916864140818790534330743420388081607187695397447219347184474988364913481962485308167877<170>

114902154274027877047000500526940942648797<42>
532625572941584104059376615266385262582433730349664497408572639878453696231962141396940333960338295013235696343510321451618437641<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:234626868
Step 1 took 7125ms
Step 2 took 3843ms
********** Factor found in step 2: 114902154274027877047000500526940942648797
Found prime factor of 42 digits: 114902154274027877047000500526940942648797
Prime cofactor 532625572941584104059376615266385262582433730349664497408572639878453696231962141396940333960338295013235696343510321451618437641 has 129 digits
 

GMP-ECM

21536655311755559403302064295092836972460121474941884121157963636509904799564606145120653687860414367960259830664982761778748119277063479949789799140142822623316900780217417449547970905917248243965353749740074377165921401255651201938665971781286521<248>

29961640441591180177899909869355712411360745350888639556678594181326752136577476534140351860945874188626565884433344978973408015252399869390749898266594392030099446527138621582127<179>

4449080431413624214373851368066150167306729216228268630107744045543087820868834951683868812970082358160586484043337382573237601012316717944468278956170164011843161152381178900414905046549294344986569800932698075089540927234450861959623630453566833<247>

8527722988434128581946291333771636135292271900697570539092562306508258052350713251542679631327539664496045934406671282307479137062949074662177707335224492564251270939751625377421081464023893342530885539643927981466723638173049219669671479547<241>

333255274432611343472721374592759708809724646071084862496345531131761077354845233996446408178057204885918376864983512147840501965972467855345648485709255582032852142350871383<174>

793476336799691826828061258944506362061969118784544305492111362156194927984525336577721115569095362760347276814755380098258696286141381947519412166504393839362567553968163687071524291108387760085951051974939761338937<216>

4275890074272854229715993348507831301581719403287483659712143284109605799934755079790705870302550742080504838479958088787665692414440206166463870232462616381315785108246517738060494718642801940530520951444283301<211>

8282479746377375250966078162204731209113812239583650605269218793131974778612330199523203209428028284640210620711088343489997720777995304247535365560189208664709275175876753012964389565736738142823064923293193464131983778195893<226>

106918683341661486482517358544440629140521331874964591543629588459591891978409806852501806590902827618885257444323577843493628805324785779053123206829661430691790136698420590427113713995271417365390709811992772827371411359<222>

56242005766120351018464385903865822113667668123848381682619176270979021953466399269245026056265286685031093461199385141455936749923538299464789199519629958133561653023671202326821721092430642007342278336821577666168958689087120578041<233>

44818184251012224644909410721770357529769991705109244152906612037379961463444188071808109382074405845359317497158028036831550022211348350560324665769734372833566915688687012092663573909111120816717128989985843593187079368274721505647331<236>

118858596281404219771541348733929948472115703695204748076267676255658632786614693673907087481383729907926392148203846418352245417001852153130093759430262253715946761713335526647990313554172808981775998933233910494715864331578834425944375610035377989506368465662496947499<270>

5251741248499762771557368286535214914601811095861352615651705706652026700413679402554495270612533490237032877102832540613595307481644538391086985469178726589160718614394466669210679064261423173663137286023354482816371268857433345059<232>

2637701670052891284928895962968874437939323150508548138593493076555096393435418591095961351959692925290375093587673784860637487474592819948348370999452228353481049041241964054503961024486514858108674846119717530965895721773252909579<232>

3358685216407600864512849820405452463420777<43>
785337565178000597251542603770295311482711943646792120485927932086643423077988385581999702855762030210294374962297885634098950837538292312041355809275905015415386302142711657575548485951827<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2529264503
Step 1 took 13656ms
Step 2 took 5578ms
********** Factor found in step 2: 3358685216407600864512849820405452463420777
Found prime factor of 43 digits: 3358685216407600864512849820405452463420777
Prime cofactor 785337565178000597251542603770295311482711943646792120485927932086643423077988385581999702855762030210294374962297885634098950837538292312041355809275905015415386302142711657575548485951827 has 189 digits

GMP-ECM

5164494113105069016109209123112812445047095712417140432791098980407962965525554908567600363186090008195822713725853373654885896286021119917726582048704571888675334000222541168166795971744517146751263636377041814361627371637<223>

1579005967758836464199465066301244731460246458633398934164873530654404528794837083160103396112942000268853465569365103680124682343771951765213800726747081244840543175814256959339310068349382952438921349665702469132874713260467425922384488338411001<247>

243767818901085013333694844103298006835879690376818574138350016925276314851799085623546116161032876718433382150780456301484098602347466269953868104548050424407593257625693471947021317284766429080088517945188962141131363809609363363507015409<240>

3573349176872321211504206713234652165042092893360771820593715146748680492547768123951842804800965384852837473918165221441169941833687125672467477850330138372059125047497431380861336819796941155446766790534538158157482878490578711662958831984909370997890758115509669<265>