4466188838047882679105645836099257794848851734404077705552959099165042916804289190642626759<91>

117490606566065595674608813209924208099<39>
38013156698927423089936634558266123507013784775835341<53>

SNFS difficulty: 102 digits.
Divisors found:
 r1=117490606566065595674608813209924208099 (pp39)
 r2=38013156698927423089936634558266123507013784775835341 (pp53)
Version: Msieve v. 1.44 SVN157
Total time: 0.25 hours.
Scaled time: 0.59 units (timescale=2.400).
Factorization parameters were as follows:
n: 4466188838047882679105645836099257794848851734404077705552959099165042916804289190642626759
m: 10000000000000000000000000
deg: 4
c4: 230
c0: -11
skew: 0.47
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [225000, 305001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 31084 x 31313
Total sieving time: 0.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.25 hours.

314647034223925347337151041561713070332463306923092508102263733559846365240553608597229510975169<96>

245245101836602285803147368918044021<36>
1282990085704394596547225527931058487571930541873060963231389<61>

Number: 76663_102
N=314647034223925347337151041561713070332463306923092508102263733559846365240553608597229510975169
  ( 96 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=245245101836602285803147368918044021 (pp36)
 r2=1282990085704394596547225527931058487571930541873060963231389 (pp61)
Version: Msieve v. 1.42
Total time: 0.02 hours.
Scaled time: 0.01 units (timescale=0.796).
Factorization parameters were as follows:
name: 76663_102
n: 314647034223925347337151041561713070332463306923092508102263733559846365240553608597229510975169
m: 10000000000000000000000000
deg: 4
c4: 2300
c0: -11
skew: 0.26
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29754 x 29979
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 17 min.

20323586847988406719154538787123682280483171186455654817131900078643444759607312956728432698000335781<101>

10594311962989340631950058167917525981867419492781<50>
1918348913925488028058767174886260061337183152503001<52>

Number: 76663_104
N=20323586847988406719154538787123682280483171186455654817131900078643444759607312956728432698000335781
  ( 101 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=10594311962989340631950058167917525981867419492781 (pp50)
 r2=1918348913925488028058767174886260061337183152503001 (pp52)
Version: Msieve v. 1.42
Total time: 0.02 hours.
Scaled time: 0.01 units (timescale=0.793).
Factorization parameters were as follows:
name: 76663_104
n: 20323586847988406719154538787123682280483171186455654817131900078643444759607312956728432698000335781
m: 100000000000000000000000000
deg: 4
c4: 23
c0: -11
skew: 0.83
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39072 x 39301
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 13 min.

38491372944480564135184961832950343335766774666262935676465872353004555321778480900245200588945452073<101>

3490683832872464247555442771201<31>
11026886073725625310081747759869262788979540725428702635385850485874473<71>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1966405737
Step 1 took 4600ms
Step 2 took 2760ms
********** Factor found in step 2: 3490683832872464247555442771201
Found probable prime factor of 31 digits: 3490683832872464247555442771201
Probable prime cofactor has 71 digits

1144806875534889236375935842912268436864615074192768425195051075533864883093392015934676403836478792261<103>

395005637395866571582641984926624812093<39>
2898203891676581815541170847707467709328545235576051915248772777<64>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3105122533
Step 1 took 4672ms
Step 2 took 2761ms
********** Factor found in step 2: 395005637395866571582641984926624812093
Found probable prime factor of 39 digits: 395005637395866571582641984926624812093
Probable prime cofactor has 64 digits

2583530121617918870290587730447033099093456835689377352764840295500870921278374451066758259<91>

114020995310251665818999261240617858936247<42>
22658371947974329014450969228515292119437447560997<50>

Wed Dec 16 18:42:30 2009  
Wed Dec 16 18:42:30 2009  
Wed Dec 16 18:42:30 2009  Msieve v. 1.43
Wed Dec 16 18:42:30 2009  random seeds: b9219cc0 d0de1132
Wed Dec 16 18:42:30 2009  factoring 2583530121617918870290587730447033099093456835689377352764840295500870921278374451066758259 (91 digits)
Wed Dec 16 18:42:30 2009  searching for 15-digit factors
Wed Dec 16 18:42:31 2009  commencing quadratic sieve (91-digit input)
Wed Dec 16 18:42:31 2009  using multiplier of 59
Wed Dec 16 18:42:31 2009  using 64kb Opteron sieve core
Wed Dec 16 18:42:31 2009  sieve interval: 18 blocks of size 65536
Wed Dec 16 18:42:31 2009  processing polynomials in batches of 6
Wed Dec 16 18:42:31 2009  using a sieve bound of 1678553 (63529 primes)
Wed Dec 16 18:42:31 2009  using large prime bound of 154426876 (27 bits)
Wed Dec 16 18:42:31 2009  using double large prime bound of 549162818684260 (42-49 bits)
Wed Dec 16 18:42:31 2009  using trial factoring cutoff of 49 bits
Wed Dec 16 18:42:31 2009  polynomial 'A' values have 12 factors
Wed Dec 16 19:47:58 2009  64234 relations (17173 full + 47061 combined from 718510 partial), need 63625
Wed Dec 16 19:47:59 2009  begin with 735683 relations
Wed Dec 16 19:47:59 2009  reduce to 156774 relations in 9 passes
Wed Dec 16 19:47:59 2009  attempting to read 156774 relations
Wed Dec 16 19:48:00 2009  recovered 156774 relations
Wed Dec 16 19:48:00 2009  recovered 135082 polynomials
Wed Dec 16 19:48:00 2009  attempting to build 64234 cycles
Wed Dec 16 19:48:00 2009  found 64234 cycles in 5 passes
Wed Dec 16 19:48:01 2009  distribution of cycle lengths:
Wed Dec 16 19:48:01 2009     length 1 : 17173
Wed Dec 16 19:48:01 2009     length 2 : 12267
Wed Dec 16 19:48:01 2009     length 3 : 11466
Wed Dec 16 19:48:01 2009     length 4 : 8568
Wed Dec 16 19:48:01 2009     length 5 : 5959
Wed Dec 16 19:48:01 2009     length 6 : 3853
Wed Dec 16 19:48:01 2009     length 7 : 2264
Wed Dec 16 19:48:01 2009     length 9+: 2684
Wed Dec 16 19:48:01 2009  largest cycle: 18 relations
Wed Dec 16 19:48:01 2009  matrix is 63529 x 64234 (15.4 MB) with weight 3780171 (58.85/col)
Wed Dec 16 19:48:01 2009  sparse part has weight 3780171 (58.85/col)
Wed Dec 16 19:48:02 2009  filtering completed in 3 passes
Wed Dec 16 19:48:02 2009  matrix is 59295 x 59359 (14.2 MB) with weight 3484662 (58.70/col)
Wed Dec 16 19:48:02 2009  sparse part has weight 3484662 (58.70/col)
Wed Dec 16 19:48:02 2009  saving the first 48 matrix rows for later
Wed Dec 16 19:48:02 2009  matrix is 59247 x 59359 (8.2 MB) with weight 2616342 (44.08/col)
Wed Dec 16 19:48:02 2009  sparse part has weight 1796079 (30.26/col)
Wed Dec 16 19:48:02 2009  matrix includes 64 packed rows
Wed Dec 16 19:48:02 2009  using block size 23743 for processor cache size 1024 kB
Wed Dec 16 19:48:02 2009  commencing Lanczos iteration
Wed Dec 16 19:48:02 2009  memory use: 8.9 MB
Wed Dec 16 19:48:20 2009  lanczos halted after 939 iterations (dim = 59244)
Wed Dec 16 19:48:20 2009  recovered 16 nontrivial dependencies
Wed Dec 16 19:48:21 2009  prp42 factor: 114020995310251665818999261240617858936247
Wed Dec 16 19:48:21 2009  prp50 factor: 22658371947974329014450969228515292119437447560997
Wed Dec 16 19:48:21 2009  elapsed time 01:05:51

52519934197964169378187398269922763301280269896278975894836658825836486587279754057397024379<92>

11411606196574225655815607303001588809<38>
4602326201348474538346286072127148267220249089588845731<55>

Number: 76663_113
N=52519934197964169378187398269922763301280269896278975894836658825836486587279754057397024379
  ( 92 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=11411606196574225655815607303001588809 (pp38)
 r2=4602326201348474538346286072127148267220249089588845731 (pp55)
Version: Msieve-1.40
Total time: 1.57 hours.
Scaled time: 3.23 units (timescale=2.051).
Factorization parameters were as follows:
name: 76663_113
n: 52519934197964169378187398269922763301280269896278975894836658825836486587279754057397024379
m: 10000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68760 x 68985
Total sieving time: 1.49 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

374567579938244331406279693518468187924635006153465102723180322997238243405496028525121163777<93>

3059870380737586822512005449734369637<37>
122412891178728360371674809568046004111359888829192602221<57>

Number: 76663_114
N=374567579938244331406279693518468187924635006153465102723180322997238243405496028525121163777
  ( 93 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=3059870380737586822512005449734369637 (pp37)
 r2=122412891178728360371674809568046004111359888829192602221 (pp57)
Version: Msieve-1.40
Total time: 1.06 hours.
Scaled time: 2.17 units (timescale=2.045).
Factorization parameters were as follows:
name: 76663_114
n: 374567579938244331406279693518468187924635006153465102723180322997238243405496028525121163777
m: 10000000000000000000000
deg: 5
c5: 230000
c0: -11
skew: 0.14
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 445001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58900 x 59126
Total sieving time: 1.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,50000
total time: 1.06 hours.
 --------- CPU info (if available) ----------

20105633266348618800994983033463626316231562973668231677796065657826655924279261934685768126702001408007987538011<113>

25522691488157552788809468757639086299259225092491527019<56>
787755212873123836676281249152475749953193949007977372369<57>

Number: 76663_120
N=20105633266348618800994983033463626316231562973668231677796065657826655924279261934685768126702001408007987538011
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=25522691488157552788809468757639086299259225092491527019 (pp56)
 r2=787755212873123836676281249152475749953193949007977372369 (pp57)
Version: Msieve-1.40
Total time: 1.16 hours.
Scaled time: 3.88 units (timescale=3.357).
Factorization parameters were as follows:
name: 76663_120
n: 20105633266348618800994983033463626316231562973668231677796065657826655924279261934685768126702001408007987538011
m: 1000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82925 x 83157
Total sieving time: 1.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.16 hours.
 --------- CPU info (if available) ----------

2528790774449520292669339776762899096930856296816157041815109917097158021385913870850834746574719859793<103>

13413698726583970462081322925539<32>
188523003684124076180996738433766325149793904672787761086552059533456187<72>

Number: 76663_126
N=2528790774449520292669339776762899096930856296816157041815109917097158021385913870850834746574719859793
  ( 103 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=13413698726583970462081322925539 (pp32)
 r2=188523003684124076180996738433766325149793904672787761086552059533456187 (pp72)
Version: Msieve-1.40
Total time: 1.66 hours.
Scaled time: 5.53 units (timescale=3.339).
Factorization parameters were as follows:
name: 76663_126
n: 2528790774449520292669339776762899096930856296816157041815109917097158021385913870850834746574719859793
m: 10000000000000000000000000
deg: 5
c5: 230
c0: -11
skew: 0.54
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120459 x 120690
Total sieving time: 1.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 1.66 hours.
 --------- CPU info (if available) ----------

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

345609796619143374458216318336570804191938122766182957592489445289969179338203424935277656426699958813310686929<111>

845283140698843865336212986554806013518603912649<48>
408868673677092400223227385697963975271696927286475015890283721<63>

Number: n
N=345609796619143374458216318336570804191938122766182957592489445289969179338203424935277656426699958813310686929
  ( 111 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=845283140698843865336212986554806013518603912649 (pp48)
 r2=408868673677092400223227385697963975271696927286475015890283721 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.21 hours.
Scaled time: 14.97 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_6_144_3
n: 345609796619143374458216318336570804191938122766182957592489445289969179338203424935277656426699958813310686929
m: 100000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
qintsize: 50000
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2265001)
Primes: RFBsize:144125, AFBsize:143033, largePrimes:3989739 encountered
Relations: rels:3985007, finalFF:336507
Max relations in full relation-set: 48
Initial matrix: 287225 x 336507 with sparse part having weight 43143938.
Pruned matrix : 272402 x 273902 with weight 29441363.
Total sieving time: 7.15 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.86 hours.
Total square root time: 0.13 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 8.21 hours.
 --------- CPU info (if available) ----------

1503107700776231921657131924014173176654439989939501657160233819006711595971027654175356316074967623086933826733503030833821<124>

127187830640740361371221967602054087623<39>
11818015082134451599966379985993827454800138229230558833671370815526360219428259516027<86>

N=1503107700776231921657131924014173176654439989939501657160233819006711595971027654175356316074967623086933826733503030833821
  ( 124 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=127187830640740361371221967602054087623 (pp39)
 r2=11818015082134451599966379985993827454800138229230558833671370815526360219428259516027 (pp86)
Version: Msieve-1.40
Total time: 12.94 hours.
Scaled time: 25.18 units (timescale=1.946).
Factorization parameters were as follows:
n: 1503107700776231921657131924014173176654439989939501657160233819006711595971027654175356316074967623086933826733503030833821
m: 100000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 440688 x 440913
Total sieving time: 12.55 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.94 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

44742885195034304652153743813549596473742407300168222159879171955251379934289392690015188828330301604066088673017825843645727010012790454056421<143>

20730300332205578545577304811001844751211485934910034956055592189129<68>
2158332705171856636744098266679217747556662312757756507611949426597067237949<76>

N=44742885195034304652153743813549596473742407300168222159879171955251379934289392690015188828330301604066088673017825843645727010012790454056421
  ( 143 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=20730300332205578545577304811001844751211485934910034956055592189129 (pp68)
 r2=2158332705171856636744098266679217747556662312757756507611949426597067237949 (pp76)
Version: Msieve-1.40
Total time: 11.42 hours.
Scaled time: 22.03 units (timescale=1.928).
Factorization parameters were as follows:
n: 44742885195034304652153743813549596473742407300168222159879171955251379934289392690015188828330301604066088673017825843645727010012790454056421
m: 1000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458174 x 458422
Total sieving time: 11.07 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.42 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

31911720999623958509463356851688558041575887426891356989332579498898264974632024152200229101207361342837836124416539345278753701670959527318819<143>

9867920331573351031509133439113631<34>
132560286325887261247764905282131424019953503364243<51>
24395580587513828255112347688589478778628638567491141770543<59>

Number: 76663_152
N=31911720999623958509463356851688558041575887426891356989332579498898264974632024152200229101207361342837836124416539345278753701670959527318819
  ( 143 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=9867920331573351031509133439113631 (pp34)
 r2=132560286325887261247764905282131424019953503364243 (pp51)
 r3=24395580587513828255112347688589478778628638567491141770543 (pp59)
Version: Msieve-1.40
Total time: 21.16 hours.
Scaled time: 46.20 units (timescale=2.183).
Factorization parameters were as follows:
name: 76663_152
n: 31911720999623958509463356851688558041575887426891356989332579498898264974632024152200229101207361342837836124416539345278753701670959527318819
m: 1000000000000000000000000000000
deg: 5
c5: 2300
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 435266 x 435514
Total sieving time: 20.53 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 21.16 hours.
 --------- CPU info (if available) ----------

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

12123831782190122856982388800576320859149350493604243894965598602667691756689157506424099767936942973105608997857831<116>

1157949692799504630846920241973480377439<40>
10470085062917605028231740569455294598749029376240715214114275662334109103929<77>

Number: 76663_153
N = 12123831782190122856982388800576320859149350493604243894965598602667691756689157506424099767936942973105608997857831 (116 digits)
SNFS difficulty: 155 digits.
Divisors found:
r1=1157949692799504630846920241973480377439 (pp40)
r2=10470085062917605028231740569455294598749029376240715214114275662334109103929 (pp77)
Version: Msieve v. 1.43
Total time: 16.85 hours.
Factorization parameters were as follows:
n: 12123831782190122856982388800576320859149350493604243894965598602667691756689157506424099767936942973105608997857831
m: 1000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1300000, 2600000)
Relations: 8438929
Relations in full relation-set: 846070 relations
Pruned matrix : 502172 x 502398
Polynomial selection time: 0.00 hours.
Total sieving time: 15.81 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.68 hours.
time per square root: 0.24 hours.

GGNFS, Msieve

107963408646914289827110541250671898634079457712685864346526186440249228738184861978908882056543644645046875859769175801160886348041080187<138>

4705629728090449866010675806207285431889239<43>
12094369110228249195017509433154257370539567<44>
1897036198984949035095819968260744331030218494426899<52>

Number: 76663_160
N=107963408646914289827110541250671898634079457712685864346526186440249228738184861978908882056543644645046875859769175801160886348041080187
  ( 138 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4705629728090449866010675806207285431889239 (pp43)
 r2=12094369110228249195017509433154257370539567 (pp44)
 r3=1897036198984949035095819968260744331030218494426899 (pp52)
Version: Msieve-1.40
Total time: 36.20 hours.
Scaled time: 79.20 units (timescale=2.188).
Factorization parameters were as follows:
name: 76663_160
n: 107963408646914289827110541250671898634079457712685864346526186440249228738184861978908882056543644645046875859769175801160886348041080187
m: 100000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 609791 x 610038
Total sieving time: 34.87 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 36.20 hours.
 --------- CPU info (if available) ----------

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

111094416357441396475747965739274146855622039445502264546167934077655296505756499674225284415834186695432198988338501228223640807755522458757852268065204327<156>

1252766093806185884306227661789978410221703351531006174199<58>
88679296882877400081877017050637548135989010555749015549527548435590845233477036756851315218752273<98>

Number: 76663_162
N=111094416357441396475747965739274146855622039445502264546167934077655296505756499674225284415834186695432198988338501228223640807755522458757852268065204327
  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1252766093806185884306227661789978410221703351531006174199 (pp58)
 r2=88679296882877400081877017050637548135989010555749015549527548435590845233477036756851315218752273 (pp98)
Version: Msieve-1.40
Total time: 44.19 hours.
Scaled time: 106.50 units (timescale=2.410).
Factorization parameters were as follows:
name: 76663_162
n: 111094416357441396475747965739274146855622039445502264546167934077655296505756499674225284415834186695432198988338501228223640807755522458757852268065204327
m: 100000000000000000000000000000000
deg: 5
c5: 2300
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 699969 x 700217
Total sieving time: 42.06 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 44.19 hours.
 --------- CPU info (if available) ----------

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

140979911516690174140186071608909145130320382572317927410453148236261224410144115341188474973194338922050468939649633603277<123>

9782151358492308831001321593186743<34>
14411953603058841783811508311607284777968838946097773030545499378975006576779836586122139<89>

Number: 76663_163
N=140979911516690174140186071608909145130320382572317927410453148236261224410144115341188474973194338922050468939649633603277
  ( 123 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=9782151358492308831001321593186743 (pp34)
 r2=14411953603058841783811508311607284777968838946097773030545499378975006576779836586122139 (pp89)
Version: Msieve-1.40
Total time: 57.02 hours.
Scaled time: 149.69 units (timescale=2.625).
Factorization parameters were as follows:
name: 76663_163
n: 140979911516690174140186071608909145130320382572317927410453148236261224410144115341188474973194338922050468939649633603277
m: 100000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 811269 x 811517
Total sieving time: 55.29 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 57.02 hours.
 --------- CPU info (if available) ----------

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

79560002870821459556507536217238029324426851560246834398230660775173385008531290724966331<89>

1450660510180042268539239748982429<34>
54843984731442937072662936384967875991170491936203920439<56>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 79560002870821459556507536217238029324426851560246834398230660775173385008531290724966331 (89 digits)
Using B1=1738000, B2=2140281790, polynomial Dickson(6), sigma=3520028370
Step 1 took 10797ms
Step 2 took 4828ms
********** Factor found in step 2: 1450660510180042268539239748982429
Found probable prime factor of 34 digits: 1450660510180042268539239748982429
Probable prime cofactor 54843984731442937072662936384967875991170491936203920439 has 56 digits

360172493375095269979013520487018128796431027648921988045713060460243062835275885505673583172648093522145717742189772108337777<126>

261264937909307712351049623582197927140640676310012942183<57>
1378571867535172692534289148545616685405250727048552023308536546646119<70>

Number: 76663_168
N=360172493375095269979013520487018128796431027648921988045713060460243062835275885505673583172648093522145717742189772108337777
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=261264937909307712351049623582197927140640676310012942183
 r2=1378571867535172692534289148545616685405250727048552023308536546646119
Version: 
Total time: 51.08 hours.
Scaled time: 121.94 units (timescale=2.387).
Factorization parameters were as follows:
n: 360172493375095269979013520487018128796431027648921988045713060460243062835275885505673583172648093522145717742189772108337777
m: 10000000000000000000000000000000000
deg: 5
c5: 23
c0: -1100
skew: 2.17
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11597743
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1058834 x 1059082
Total sieving time: 45.57 hours.
Total relation processing time: 2.22 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 51.08 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: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672376)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

156967949217484492614992478786654813941102457385781900349460996455076936703541915018988331501781838652595488902281950887<120>

48138499473216283465720587631073629195483722769<47>
3260757001884109076574421603048726339673068383896126570104067996830848823<73>

Number: 76663_169
N = 156967949217484492614992478786654813941102457385781900349460996455076936703541915018988331501781838652595488902281950887 (120 digits)
Divisors found:
r1=48138499473216283465720587631073629195483722769 (pp47)
r2=3260757001884109076574421603048726339673068383896126570104067996830848823 (pp73)
Version: Msieve v. 1.43
Total time: 30.30 hours.
Factorization parameters were as follows:
n: 156967949217484492614992478786654813941102457385781900349460996455076936703541915018988331501781838652595488902281950887
Y0: -114488720400276814740663
Y1: 5583557508287
c0: -400091140126805264106952756576
c1: 18296905409307231181750148
c2: 87634470798844917540
c3: -892178817094211
c4: -2039861456
c5: 7980
skew: 207256.71 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2100000, 3700000)
Relations: 10105497
Relations in full relation-set: 1255914 relations
Pruned matrix : 707744 x 707970
Polynomial selection time: 4.25 hours.
Total sieving time: 24.00 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.36 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 30.30 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

17376488281373116481130738669803710931945361199941990588432336921151319557540243096173447800131863389335263467173699976745549872884520017973001127<146>

131423238500690285493950416598784924743609<42>
132217775787665196429184970720415085607021590989727234083919538255200000542519674982479989860730864516703<105>

sieving took ~44hours

Msieve v. 1.44
Sat Feb 13 11:30:14 2010
random seeds: 6231cb6e 7f4f02fb
factoring 17376488281373116481130738669803710931945361199941990588432336921151319557540243096173447800131863389335263467173699976745549872884520017973001127 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -11
A1:  0
A2:  0
A3:  0
A4:  0
A5:  230
skew 0.54, size 4.618859e-12, alpha 0.729544, combined = 2.082451e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 3801358 hash collisions in 30930904 relations
added 721604 free relations
commencing duplicate removal, pass 2
found 2736955 duplicates and 28915553 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 856.1 MB
keeping 29857686 ideals with weight <= 200, target excess is 175072
commencing in-memory singleton removal
begin with 28915553 relations and 29857686 unique ideals
reduce to 11642074 relations and 9334791 ideals in 13 passes
max relations containing the same ideal: 110
removing 2104422 relations and 1704422 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9537652 relations and 9334791 unique ideals
reduce to 9335793 relations and 7420508 ideals in 8 passes
max relations containing the same ideal: 96
removing 1568678 relations and 1168678 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7767115 relations and 7420508 unique ideals
reduce to 7617374 relations and 6096057 ideals in 7 passes
max relations containing the same ideal: 86
removing 1393170 relations and 993170 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6224204 relations and 6096057 unique ideals
reduce to 6071618 relations and 4943189 ideals in 7 passes
max relations containing the same ideal: 73
removing 1314264 relations and 914264 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4757354 relations and 4943189 unique ideals
reduce to 4592475 relations and 3854439 ideals in 7 passes
max relations containing the same ideal: 58
removing 1229057 relations and 829057 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3363418 relations and 3854439 unique ideals
reduce to 3151117 relations and 2796169 ideals in 9 passes
max relations containing the same ideal: 47
removing 587981 relations and 436117 ideals in 151864 cliques
commencing in-memory singleton removal
begin with 2563136 relations and 2796169 unique ideals
reduce to 2492239 relations and 2286232 ideals in 7 passes
max relations containing the same ideal: 39
relations with 0 large ideals: 4325
relations with 1 large ideals: 16202
relations with 2 large ideals: 102531
relations with 3 large ideals: 339318
relations with 4 large ideals: 636442
relations with 5 large ideals: 704154
relations with 6 large ideals: 477802
relations with 7+ large ideals: 211465
commencing 2-way merge
reduce to 1600278 relation sets and 1394271 unique ideals
commencing full merge
memory use: 159.7 MB
found 810250 cycles, need 780471
weight of 780471 cycles is about 54656297 (70.03/cycle)
distribution of cycle lengths:
1 relations: 76481
2 relations: 80823
3 relations: 86992
4 relations: 86298
5 relations: 81761
6 relations: 73931
7 relations: 64141
8 relations: 54238
9 relations: 45150
10+ relations: 130656
heaviest cycle: 18 relations
commencing cycle optimization
start with 4538581 relations
pruned 136483 relations
memory use: 145.2 MB
distribution of cycle lengths:
1 relations: 76481
2 relations: 82644
3 relations: 90323
4 relations: 89099
5 relations: 84784
6 relations: 76334
7 relations: 65994
8 relations: 54587
9 relations: 44733
10+ relations: 115492
heaviest cycle: 18 relations
RelProcTime: 612

commencing linear algebra
read 780471 cycles
cycles contain 2356465 unique relations
read 2356465 relations
using 20 quadratic characters above 536856488
building initial matrix
memory use: 298.8 MB
read 780471 cycles
matrix is 780285 x 780471 (232.2 MB) with weight 69463800 (89.00/col)
sparse part has weight 52294577 (67.00/col)
filtering completed in 2 passes
matrix is 779283 x 779469 (232.1 MB) with weight 69421042 (89.06/col)
sparse part has weight 52273381 (67.06/col)
read 779469 cycles
matrix is 779283 x 779469 (232.1 MB) with weight 69421042 (89.06/col)
sparse part has weight 52273381 (67.06/col)
saving the first 48 matrix rows for later
matrix is 779235 x 779469 (220.4 MB) with weight 54755741 (70.25/col)
sparse part has weight 49969065 (64.11/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 232.7 MB
linear algebra at 0.2%, ETA 0h34m779469 dimensions (0.2%, ETA 0h34m)
linear algebra completed 778913 of 779469 dimensions (99.9%, ETA 0h 0m)
lanczos halted after 12325 iterations (dim = 779234)
recovered 37 nontrivial dependencies
BLanczosTime: 2190

commencing square root phase
reading relations for dependency 1
read 388672 cycles
cycles contain 1174528 unique relations
read 1174528 relations
multiplying 1174528 relations
multiply complete, coefficients have about 34.41 million bits
initial square root is modulo 87421
sqrtTime: 145
prp42 factor: 131423238500690285493950416598784924743609
prp105 factor: 132217775787665196429184970720415085607021590989727234083919538255200000542519674982479989860730864516703
elapsed time 00:49:08

Q6700, Linux 64bit

37010280187606994619986775353442304642637241832026762849152235305146173485346464969248080013917644624815750499319982510007155889<128>

75736847593971897082435421180453599<35>
488669404171936304370293977679510766175699513191630985809627359912700513728258863224296153711<93>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 37010280187606994619986775353442304642637241832026762849152235305146173485346464969248080013917644624815750499319982510007155889 (128 digits)
Run 491 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3718863335
Step 1 took 11984ms
********** Factor found in step 1: 75736847593971897082435421180453599
Found probable prime factor of 35 digits: 75736847593971897082435421180453599
Probable prime cofactor 488669404171936304370293977679510766175699513191630985809627359912700513728258863224296153711 has 93 digits

GMP-ECM 6.2.3

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

20941552236845175936491105809132028759563202166980121362060584076695649761754015671106286991354767032367521714676227<116>

2974394806623445832002669960600247954085524021<46>
7040609467920022083631164121210862850091250442994623878097317630118487<70>

Number: 76663_173
N=20941552236845175936491105809132028759563202166980121362060584076695649761754015671106286991354767032367521714676227
  ( 116 digits)
Divisors found:
 r1=2974394806623445832002669960600247954085524021 (pp46)
 r2=7040609467920022083631164121210862850091250442994623878097317630118487 (pp70)
Version: Msieve v. 1.42
Total time: 4.72 hours.
Scaled time: 3.75 units (timescale=0.796).
Factorization parameters were as follows:
name: 76663_173
n: 20941552236845175936491105809132028759563202166980121362060584076695649761754015671106286991354767032367521714676227
skew: 28494.87
# norm 4.10e+15
c5: 37680
c4: 8281874254
c3: -90830933741863
c2: -5627844678150371295
c1: 35191515101382845423563
c0: 662651334119683459024323773
# alpha -5.26
Y1: 1119347437699
Y0: -14092176653212748866500
# Murphy_E 4.80e-10
# M 7126289628493547151003228126794310011527564005427918552074941218220378569874298918271424066468534112075037725645294
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 584800 x 585026
Polynomial selection time: 3.16 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 4.72 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Tota time: 31 hours 15 min.

26166097838452787258248009101251422070534698521046643913538111490329920364050056882821387940841865756541524459613196814562002275312855517633674630261660978384527872582480091<173>

221055718596333927852921215827025097761<39>
118368789573068008297095750116453780334568469316268638972946942086748686517035402090442780118000939299805667208761659092248319140529531<135>

Number: 76663_174
N=26166097838452787258248009101251422070534698521046643913538111490329920364050056882821387940841865756541524459613196814562002275312855517633674630261660978384527872582480091
  ( 173 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=221055718596333927852921215827025097761
 r2=118368789573068008297095750116453780334568469316268638972946942086748686517035402090442780118000939299805667208761659092248319140529531
Version: 
Total time: 121.04 hours.
Scaled time: 243.90 units (timescale=2.015).
Factorization parameters were as follows:
n: 26166097838452787258248009101251422070534698521046643913538111490329920364050056882821387940841865756541524459613196814562002275312855517633674630261660978384527872582480091
m: 10000000000000000000000000000000000
deg: 5
c5: 230000
c0: -11
skew: 0.14
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893156 x 893404
Total sieving time: 121.04 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 121.04 hours.
 --------- CPU info (if available) ----------

2082886879552884892004969728628265463582621489999510384590784763675681206303277724733973454861764038881643038787363<115>

5804490398049592589318143846839043246019382907116762547<55>
358840610754179260676100752197992592051933633674613846200529<60>

Number: 76663_175
N = 2082886879552884892004969728628265463582621489999510384590784763675681206303277724733973454861764038881643038787363 (115 digits)
Divisors found:
r1=5804490398049592589318143846839043246019382907116762547 (pp55)
r2=358840610754179260676100752197992592051933633674613846200529 (pp60)
Version: Msieve v. 1.43
Total time: 19.71 hours.
Factorization parameters were as follows:
n: 2082886879552884892004969728628265463582621489999510384590784763675681206303277724733973454861764038881643038787363
Y0: -12516643369979646308093
Y1: 2142721799141
c0: 6471267952220890397826195520
c1: 395828217043898949678884
c2: 2739344624711597288
c3: -166442264682694
c4: -310123163
c5: 6780
skew: 87374.49  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2950000)
Relations: 7979362
Relations in full relation-set: 788578 relations
Pruned matrix : 467673 x 467902
Polynomial selection time: 1.89 hours.
Total sieving time: 16.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.67 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.71 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

309883885768767393705617944168874491199014502903207756427962450294718334644451705272682364266628981334828457693911684446806864669943570880054377<144>

26074906690872955464427731556137766249<38>
11884371800158218184648813049933859145519485971295576605772279827946868713137121382968758780784066643631873<107>

N = 309883885768767393705617944168874491199014502903207756427962450294718334644451705272682364266628981334828457693911684446806864669943570880054377 (144 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=26074906690872955464427731556137766249 (pp38)
r2=11884371800158218184648813049933859145519485971295576605772279827946868713137121382968758780784066643631873 (pp107)
Version: Msieve v. 1.48
Total time: 36.18 hours.
Factorization parameters were as follows:
name: (23*10^176-11)/3
n: 309883885768767393705617944168874491199014502903207756427962450294718334644451705272682364266628981334828457693911684446806864669943570880054377
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -11
c1: 0
c2: 0
c3: 0
c4: 0
c5: 230
skew: 0.54
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20816890
Relations: 2393502 relations
Pruned matrix : 1383984 x 1384209
Polynomial selection time: 0.00 hours.
Total sieving time: 33.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.44 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 36.18 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

292542704875287772986861016776688162195850981289986136019638518970758448760509278691443761844799735439640808435405298838732654125488101143460398621233512674730669922794164409<174>

571667232704790206496705486468962900457843775913854361251521606523021<69>
511736003288397767667453775337881994710128845162365441289806156693906703874543442237620333282194306980829<105>

Number: 76663_177
N=292542704875287772986861016776688162195850981289986136019638518970758448760509278691443761844799735439640808435405298838732654125488101143460398621233512674730669922794164409
  ( 174 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=571667232704790206496705486468962900457843775913854361251521606523021 (pp69)
 r2=511736003288397767667453775337881994710128845162365441289806156693906703874543442237620333282194306980829 (pp105)
Version: Msieve-1.40
Total time: 143.46 hours.
Scaled time: 316.05 units (timescale=2.203).
Factorization parameters were as follows:
name: 76663_177
n: 292542704875287772986861016776688162195850981289986136019638518970758448760509278691443761844799735439640808435405298838732654125488101143460398621233512674730669922794164409
m: 100000000000000000000000000000000000
deg: 5
c5: 2300
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 8800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1405923 x 1406171
Total sieving time: 138.11 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.95 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 143.46 hours.
 --------- CPU info (if available) ----------

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

6338311273005250894841410623131166863990503319050934649314964916021135241947726317621961733364639987651743763705355859132301519904525365547<139>

372922916979737086348218320144837039<36>
16996304019979671926672418908010639243822099001223808553075789605690416665259885449294977330453462850373<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=619430384
Step 1 took 19469ms
Step 2 took 10952ms
********** Factor found in step 2: 372922916979737086348218320144837039
Found probable prime factor of 36 digits: 372922916979737086348218320144837039
Probable prime cofactor 16996304019979671926672418908010639243822099001223808553075789605690416665259885449294977330453462850373 has 104 digits

GMP-ECM 6.3

98498743735518445342845982313512742315572127126785084816568706709315756807411374259638622214292303176668101654109645316884493745996838297876792139<146>

247407449515546016775276697911771380997929<42>
398123597039583924188326068658385055456155542312861646136939176664914595570294950684233186736700700721491<105>

Number: 76663_181
N = 98498743735518445342845982313512742315572127126785084816568706709315756807411374259638622214292303176668101654109645316884493745996838297876792139 (146 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=247407449515546016775276697911771380997929 (pp42)
r2=398123597039583924188326068658385055456155542312861646136939176664914595570294950684233186736700700721491 (pp105)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.81 hours.
Factorization parameters were as follows:
n: 98498743735518445342845982313512742315572127126785084816568706709315756807411374259638622214292303176668101654109645316884493745996838297876792139
m: 1000000000000000000000000000000000000
deg: 5
c5: 230
c0: -11
skew: 0.54
# Murphy_E = 8.278e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19114721
Relations: 2601828 relations
Pruned matrix : 1557021 x 1557250
Polynomial selection time: 0.00 hours.
Total sieving time: 8.85 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.76 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,200000
total time: 9.81 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

11017897985580513794676300291278588215950633811791158113968505389386356643558546588473372802346894282412785585394819291721029154967161990977107054200035622205496701784812911309<176>

79212190391962615730407758410221172392093<41>
12386327454246930011846730604981488721042501553924276052713<59>
11229596902679138191157194636918688132415589400312049476545015504256234157001<77>

N=11017897985580513794676300291278588215950633811791158113968505389386356643558546588473372802346894282412785585394819291721029154967161990977107054200035622205496701784812911309
  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=79212190391962615730407758410221172392093 (pp41)
 r2=12386327454246930011846730604981488721042501553924276052713 (pp59)
 r3=11229596902679138191157194636918688132415589400312049476545015504256234157001 (pp77)
Version: Msieve v. 1.47
Total time:
Scaled time: 11.02 units (timescale=1.228).
Factorization parameters were as follows:
n: 11017897985580513794676300291278588215950633811791158113968505389386356643558546588473372802346894282412785585394819291721029154967161990977107054200035622205496701784812911309
m: 1000000000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 15150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2044470 x 2044700
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time:

603994643575919929995235086256829567672267590404519871540633480979298742733415942468554312218576081629865575030907653292021990478581169523179238517114473153631638987338483921291<177>

63842948204817186219587908178914517605441018515187348285065241188143<68>
9460632075420763597081608963911699147560106256058321583512180161613805741699267212378546248852016640679720037<109>

Number: 1
N=603994643575919929995235086256829567672267590404519871540633480979298742733415942468554312218576081629865575030907653292021990478581169523179238517114473153631638987338483921291
  ( 177 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=63842948204817186219587908178914517605441018515187348285065241188143 (pp68)
 r2=9460632075420763597081608963911699147560106256058321583512180161613805741699267212378546248852016640679720037 (pp109)
Version: Msieve-1.40
Total time: 185.92 hours.
Scaled time: 323.32 units (timescale=1.739).
Factorization parameters were as follows:
n: 603994643575919929995235086256829567672267590404519871540633480979298742733415942468554312218576081629865575030907653292021990478581169523179238517114473153631638987338483921291
m: 1000000000000000000000000000000000000
deg: 5
c5: 230000
c0: -11
skew: 0.14
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
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, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1723123 x 1723348
Total sieving time: 179.09 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.58 hours.
Time per square root: 1.99 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: 185.92 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

132940292468643431015548234206115253453557597826715218773481301658863649500028900063580139876307727877001329402924686434310155482342061152534535575978267152187734813016588636495000289<183>

43974559751581488896529239<26>

3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951<157>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=673973749
Step 1 took 8317ms
Step 2 took 4320ms
********** Factor found in step 2: 43974559751581488896529239
Found probable prime factor of 26 digits: 43974559751581488896529239
Composite cofactor has 157 digits

3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951<157>

49138911585554439082244084522875168070238655361919658482927184788701<68>
61521879807361628893132170714786899965782837927575823934946900150194332673195340377283251<89>

Number: 76663_185
N=3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951
  ( 157 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=49138911585554439082244084522875168070238655361919658482927184788701
 r2=61521879807361628893132170714786899965782837927575823934946900150194332673195340377283251
Version: 
Total time: 78.70 hours.
Scaled time: 409.00 units (timescale=5.197).
Factorization parameters were as follows:
n: 3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
# Murphy_E = 6.165e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20295786
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1787483 x 1787731
Total sieving time: 72.53 hours.
Total relation processing time: 1.84 hours.
Matrix solve time: 4.21 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

258306995523005709461243777830974365788479588540911484881425553503698368006093187197244744878357519455144970023482328054328463905745669775518958600451794100146583215010104127<174>

6114892305947310808484142250046399483<37>
42242280419522309255912929342478602362703247206508124588592177318494471456374472292981546145324496368985121221675803464205707725620950669<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=413799097
Step 1 took 23588ms
Step 2 took 8812ms
********** Factor found in step 2: 6114892305947310808484142250046399483
Found probable prime factor of 37 digits: 6114892305947310808484142250046399483

1051649231768062178302890721624266348450375955479645157958736699551013230434678425641524516830386168870175360612464669181091<124>

63909601289615947564572398674480423814370006613879274999<56>
16455261972334264608568408272920135669497888285671743452966666793909<68>

Number: 76663_192
N = 1051649231768062178302890721624266348450375955479645157958736699551013230434678425641524516830386168870175360612464669181091 (124 digits)
Divisors found:
r1=63909601289615947564572398674480423814370006613879274999 (pp56)
r2=16455261972334264608568408272920135669497888285671743452966666793909 (pp68)
Version: Msieve v. 1.43
Total time: 48.59 hours.
Factorization parameters were as follows:
n: 1051649231768062178302890721624266348450375955479645157958736699551013230434678425641524516830386168870175360612464669181091
Y0: -634825133734443931213206
Y1: 18521016256951
c0: 586870664537979476638459239295
c1: 11935656406103345103499563
c2: -9070385657105450840
c3: -1283707165116795
c4: 139303993
c5: 10200
skew: 196878.89 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2600000, 5300000)
Total raw relations: 10837221
Relations: 1578386 relations
Pruned matrix : 900857 x 901083
Polynomial selection time: 0.00 hours.
Total sieving time: 45.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 48.59 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve v1.43

64282804538106280246156857072064551405969756306033820870852731026739661974573163103605375145565192123140930982534909125100627693074016212551950922525650367<155>

2556343092176777607253650702981937586803<40>
25146391630619573072014193117731349167958595264681629767883533933576639496691303201419185647117506034743388511328389<116>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1685169638
Step 1 took 7624ms
Step 2 took 3812ms
********** Factor found in step 2: 2556343092176777607253650702981937586803
Found probable prime factor of 40 digits: 2556343092176777607253650702981937586803
Probable prime cofactor has 116 digits

2725441403009835288541296362128214243393767034008768811470553383102263301339021211043962554805071690958644389145633368882569024765967531698068491527432160208555516056404787297073112928072046451<193>

84035397138421704639848742741437713772711843058466950530262691499182499148871<77>
32432064294532144161858169374796778888528088254141103630691617606620615310449571253357760854394293748679505357124981<116>

Number: n
N=2725441403009835288541296362128214243393767034008768811470553383102263301339021211043962554805071690958644389145633368882569024765967531698068491527432160208555516056404787297073112928072046451
  ( 193 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Feb 26 15:05:06 2010  prp77 factor: 84035397138421704639848742741437713772711843058466950530262691499182499148871
Fri Feb 26 15:05:06 2010  prp116 factor: 32432064294532144161858169374796778888528088254141103630691617606620615310449571253357760854394293748679505357124981
Fri Feb 26 15:05:06 2010  elapsed time 11:07:35 (Msieve 1.42 - dependency 3)

Version: 
Total time: 17.81 hours.
Scaled time: 15.00 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_7_6_194_3
n: 2725441403009835288541296362128214243393767034008768811470553383102263301339021211043962554805071690958644389145633368882569024765967531698068491527432160208555516056404787297073112928072046451
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 11408389)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3293070 hash collisions in 26527448 relations
Msieve: matrix is 1997600 x 1997825 (536.3 MB)

Total sieving time: 17.81 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,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,56,56,2.5,2.5,100000
total time: 17.81 hours.
 --------- CPU info (if available) ----------

251047301144018607745875791713184082208281027310169854854087128058269232865085153592463756883724723977614993551044130727369331413797414316935810135914535342893787452022253204752262247<183>

434802470465247902768449846150987080720293262186282965112443630789360862765527759<81>
577382416607230058568854541513014674662768023345097819549106903638382174924442213296627722799823321833<102>

251047301144018607745875791713184082208281027310169854854087128058269232865085153592463756883724723977614993551044130727369331413797414316935810135914535342893787452022253204752262247=434802470465247902768449846150987080720293262186282965112443630789360862765527759*577382416607230058568854541513014674662768023345097819549106903638382174924442213296627722799823321833

cado polynomial
n: 251047301144018607745875791713184082208281027310169854854087128058269232865085153592463756883724723977614993551044130727369331413797414316935810135914535342893787452022253204752262247
skew: 0.22
type: snfs
c0: -11
c5: 23000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 23000*x^5-11
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 577382416607230058568854541513014674662768023345097819549106903638382174924442213296627722799823321833 434802470465247902768449846150987080720293262186282965112443630789360862765527759
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.36/2.42739
Info:Generate Free Relations: Total cpu/real time for freerel: 100.02/25.6871
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 35732217
Info:Lattice Sieving: Average J: 1893.76 for 8797027 special-q, max bucket fill -bkmult 1.0,1s:1.079520
Info:Lattice Sieving: Total time: 2.61513e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.79/196.292
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 194.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 646.42/660.842
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 577.3000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 563.93/669.845
Info:Filtering - Merging: Merged matrix has 3604182 rows and total weight 617962860 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 494.92/159.556
Info:Filtering - Merging: Total cpu/real time for replay: 143.07/124.056
Info:Linear Algebra: Total cpu/real time for bwc: 251008/64164.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 40685.35, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113152 iterations)
Info:Linear Algebra: Lingen CPU time 793.37, WCT time 228.67
Info:Linear Algebra: Mksol: WCT time 22782.55, iteration CPU time 0.39, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56320 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 124.71/54.7033
Info:Square Root: Total cpu/real time for sqrt: 2181.92/661.562
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.08464e+06/217368
Info:root: Cleaning up computation data in /tmp/cado.xnwrcdmk
577382416607230058568854541513014674662768023345097819549106903638382174924442213296627722799823321833 434802470465247902768449846150987080720293262186282965112443630789360862765527759

cado-nfs-3.0.0

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

2067836456960616125580112207478340345250585121456471885074169980976155336564327932509967820807543334230130982033857988384434864097448710656160273235045437743012034708274492803311441<181>

26785306417768383017383069673<29>

77200403262472658939457511216613401783779708016624408936895042204938251258657627820124165446772584470655452639779122929980626066642213168843675509599017<152>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=312446636
Step 1 took 10657ms
Step 2 took 1248ms
********** Factor found in step 2: 26785306417768383017383069673
Found probable prime factor of 29 digits: 26785306417768383017383069673
Composite cofactor has 152 digits

77200403262472658939457511216613401783779708016624408936895042204938251258657627820124165446772584470655452639779122929980626066642213168843675509599017<152>

5829911933004426885668191900159196364150913<43>

13242121690625208554197353667922857440061201043919316902606311433431749539482468632938769056038595351672061609<110>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.0, --enable-assert] [ECM]
Tuned for default
Running on pine64-2g1
Input number is 77200403262472658939457511216613401783779708016624408936895042204938251258657627820124165446772584470655452639779122929980626066642213168843675509599017 (152 digits)
[Wed Jun  9 08:20:44 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:4552701051924179069
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 26700853
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 972649ms
Using 19 small primes for NTT
Estimated memory usage: 213.55MB
Initializing tables of differences for F took 349ms
Computing roots of F took 15896ms
Building F from its roots took 15752ms
Computing 1/F took 8006ms
Initializing table of differences for G took 527ms
Computing roots of G took 12647ms
Building G from its roots took 16628ms
Computing roots of G took 12870ms
Building G from its roots took 16885ms
Computing G * H took 4263ms
Reducing  G * H mod F took 4564ms
Computing roots of G took 12968ms
Building G from its roots took 16874ms
Computing G * H took 4314ms
Reducing  G * H mod F took 4461ms
Computing roots of G took 13122ms
Building G from its roots took 16663ms
Computing G * H took 4298ms
Reducing  G * H mod F took 4459ms
Computing roots of G took 12397ms
Building G from its roots took 16368ms
Computing G * H took 4227ms
Reducing  G * H mod F took 4484ms
Computing polyeval(F,G) took 30726ms
Computing product of all F(g_i) took 196ms
Step 2 took 255246ms
********** Factor found in step 2: 5829911933004426885668191900159196364150913
Found prime factor of 43 digits: 5829911933004426885668191900159196364150913
Composite cofactor 13242121690625208554197353667922857440061201043919316902606311433431749539482468632938769056038595351672061609 has 110 digits
Peak memory usage: 256MB

GMP-ECM 7.0.5-dev

13242121690625208554197353667922857440061201043919316902606311433431749539482468632938769056038595351672061609<110>

153819350484270343212462500228610605883311069<45>
86088789537434405347302165713259325588382418342959735348294905661<65>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 77200403262472658939457511216613401783779708016624408936895042204938251258657627820124165446772584470655452639779122929980626066642213168843675509599017 (152 digits)
[Wed Jun 09 02:04:09 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:11460931213234380125
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 139453ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 32ms
Computing roots of F took 2468ms
Building F from its roots took 2766ms
Computing 1/F took 1094ms
Initializing table of differences for G took 47ms
Computing roots of G took 2000ms
Building G from its roots took 2672ms
Computing roots of G took 2078ms
Building G from its roots took 2672ms
Computing G * H took 656ms
Reducing  G * H mod F took 672ms
Computing roots of G took 1938ms
Building G from its roots took 2562ms
Computing G * H took 656ms
Reducing  G * H mod F took 610ms
Computing roots of G took 2000ms
Building G from its roots took 2531ms
Computing G * H took 657ms
Reducing  G * H mod F took 687ms
Computing roots of G took 2047ms
Building G from its roots took 2719ms
Computing G * H took 625ms
Reducing  G * H mod F took 641ms
Computing polyeval(F,G) took 5297ms
Computing product of all F(g_i) took 15ms
Step 2 took 40547ms
********** Factor found in step 2: 153819350484270343212462500228610605883311069
Found prime factor of 45 digits: 153819350484270343212462500228610605883311069
Composite cofactor 501890061422195495167591162419413329042003159571889478310246184020415352636567081524186251021571445702018493 has 108 digits
Peak memory usage: 299MB

GMP-ECM 7.0.5-dev

112198251353584774699797675713567751649038069148598763030222776701731820656194854114049084202375946496512466865587039485430904742158079405069206189757<150>

4804773671744185381826480556724479983<37>
23351412370034816353582977046396300393920348457609155318748260466846057508113498472087111395318220620133626101779<113>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4154622239
Step 1 took 79623ms
Step 2 took 39374ms
********** Factor found in step 2: 4804773671744185381826480556724479983
Found probable prime factor of 37 digits: 4804773671744185381826480556724479983
Probable prime cofactor 23351412370034816353582977046396300393920348457609155318748260466846057508113498472087111395318220620133626101779 has 113 digits

GMP-ECM 6.3

15478138650022017221813119620024879188990248970788545640056919476159638513290438809921093177363265886473509261530335898083755993844412944503146597991834139752771604275125150016359911<182>

881868998216055697768779141839357<33>
17551516927494838621305841251829216357396567544605295795017329723490915804845188168163130587931446346733580429531150628851155885390770102397467667123<149>

Using B1=500000, B2=696532002, polynomial Dickson(3), sigma=3017809397
Step 1 took 2217ms
Step 2 took 1840ms
********** Factor found in step 2: 881868998216055697768779141839357
Found probable prime factor of 33 digits: 881868998216055697768779141839357
Probable prime cofactor 175515169274... has 149 digits

14900126984757996792507580136904176777469318609691744827393076677906197180464946201698359658177707951282456964669204418331778417949122555935401750290850494938266298213657521345826201244219335640877<197>

134279991524956170475145974404754357626313<42>

110963121277742873713586222424755802697491958539434918461623522094846543826558025281026218037605409260311484602531854309740094032237394588729156016936130629<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3235809358
Step 1 took 22711ms
Step 2 took 7070ms
********** Factor found in step 2: 134279991524956170475145974404754357626313
Found probable prime factor of 42 digits: 134279991524956170475145974404754357626313
Composite cofactor 110963121277742873713586222424755802697491958539434918461623522094846543826558025281026218037605409260311484602531854309740094032237394588729156016936130629 has 156 digits

GMP-ECM 6.3

733952800836162438041990944979640218925149551572189607702161501082883016746470740515213958377445213720733472548392785803090975036130065400239663913718715517907101465430587222311747<180>

60515257691859504568094892242360876828787770123005012798445345647783355720942478117817<86>
12128392554707629745910184311352940409100576792347129566162671280142046636572692715408368131291<95>

Number: n
N=733952800836162438041990944979640218925149551572189607702161501082883016746470740515213958377445213720733472548392785803090975036130065400239663913718715517907101465430587222311747  ( 180 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jul  4 17:43:23 2024  prp86 factor: 60515257691859504568094892242360876828787770123005012798445345647783355720942478117817
Thu Jul  4 17:43:23 2024  prp95 factor: 12128392554707629745910184311352940409100576792347129566162671280142046636572692715408368131291
Thu Jul  4 17:43:23 2024  elapsed time 03:42:56 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.032).
Factorization parameters were as follows:
#
# N = 23x10^206-11 = 76(205)3
#
n: 733952800836162438041990944979640218925149551572189607702161501082883016746470740515213958377445213720733472548392785803090975036130065400239663913718715517907101465430587222311747
m: 100000000000000000000000000000000000000000
deg: 5
c5: 230
c0: -11
skew: 0.54
# Murphy_E = 7.647e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5400063 hash collisions in 21457097 relations (15493433 unique)
Msieve: matrix is 2595367 x 2595592 (733.7 MB)

Sieving start time: 2024/07/03 18:25:35
Sieving end time  : 2024/07/04 13:52:34

Total sieving time: 19hrs 26min 59secs.

Total relation processing time: 3hrs 30min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 6sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

105709289343466423224846237170832601988830148441485512765972959609825667499000550286105192620016416135534013061774670927083465912242308682471114947933428378668487364214548760643951765813<186>

8742843111777969263796635258506566055945779326381785697015628139330594177<73>
12090951191959463588667442087933946074002868693821693418317601248094609254158900004823178005672787499860597138869<113>

Number: n
N=105709289343466423224846237170832601988830148441485512765972959609825667499000550286105192620016416135534013061774670927083465912242308682471114947933428378668487364214548760643951765813  ( 186 digits)
SNFS difficulty: 209 digits.
Divisors found:

Sun Nov  3 02:10:46 2024  prp73 factor: 8742843111777969263796635258506566055945779326381785697015628139330594177
Sun Nov  3 02:10:46 2024  prp113 factor: 12090951191959463588667442087933946074002868693821693418317601248094609254158900004823178005672787499860597138869
Sun Nov  3 02:10:46 2024  elapsed time 05:35:38 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.136).
Factorization parameters were as follows:
#
# N = 23x10^208-11 = 76(207)3
#
n: 105709289343466423224846237170832601988830148441485512765972959609825667499000550286105192620016416135534013061774670927083465912242308682471114947933428378668487364214548760643951765813
m: 100000000000000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
# Murphy_E = 4.565e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 106450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8698698 hash collisions in 27617838 relations (16540920 unique)
Msieve: matrix is 3166426 x 3166651 (890.1 MB)

Sieving start time: 2024/10/31 13:05:35
Sieving end time  : 2024/11/02 20:28:26

Total sieving time: 55hrs 22min 51secs.

Total relation processing time: 5hrs 24min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 51sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2921016518037700976175350018768584154846981363128535084269919269479677594882245753332110612303575970891384014752886909926211052114648638724616812006934408920904834639923241505282077171229548754394519<199>

25352617085218864461041165111565663316363395550532166507803<59>
766800271400732003006261321331233405818498760343234979036369570694261<69>
150255008662596054394841359127769009914871659225598923103501799679776193<72>

Number: n
N=2921016518037700976175350018768584154846981363128535084269919269479677594882245753332110612303575970891384014752886909926211052114648638724616812006934408920904834639923241505282077171229548754394519
  ( 199 digits)
SNFS difficulty: 211 digits.
Divisors found:

Mon Apr 19 01:07:50 2021  found factor: 25352617085218864461041165111565663316363395550532166507803
Mon Apr 19 01:12:52 2021  p59 factor: 25352617085218864461041165111565663316363395550532166507803
Mon Apr 19 01:12:52 2021  p69 factor: 766800271400732003006261321331233405818498760343234979036369570694261
Mon Apr 19 01:12:52 2021  p72 factor: 150255008662596054394841359127769009914871659225598923103501799679776193
Mon Apr 19 01:12:52 2021  elapsed time 04:16:00 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 23x10^209-11 = 76(208)3
#
n: 2921016518037700976175350018768584154846981363128535084269919269479677594882245753332110612303575970891384014752886909926211052114648638724616812006934408920904834639923241505282077171229548754394519
m: 500000000000000000000000000000000000000000
deg: 5
c5: 368
c0: -55
skew: 0.68
# Murphy_E = 6.089e-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, 38700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6198171 hash collisions in 48803656 relations (44466432 unique)
Msieve: matrix is 3158967 x 3159192 (1117.8 MB)

Sieving start time : 2021/04/18 08:51:45
Sieving end time  : 2021/04/18 20:56:05

Total sieving time: 12hrs 4min 20secs.

Total relation processing time: 3hrs 46min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 3sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<211>

99714020022242227028195318641060078633<38>
76886546796092852714332508481658867878431720816733951830921105390114885516824363159418559860064371594882210117066624682675712086428353434345884990038856360815927295288504911<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2045214647
Step 1 took 18545ms
Step 2 took 7801ms
********** Factor found in step 2: 99714020022242227028195318641060078633
Found probable prime factor of 38 digits: 99714020022242227028195318641060078633
Probable prime cofactor 768865467960... has 173 digits

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

1793833890981695095034199833095455360833586809861406833727196861570618560721277209730378966907664350281163964216913513808621321665613764165438280415233549373328029824438257017400188742522442421831738381025917<208>

4162326077832630614790745593107203610941<40>
430969092146611519519439417335723099816244868450435419479627727439167374771394789937943031695704776424892694293509299604097263871911203452520296084599069813312158147137<168>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3824550140
Step 1 took 216818ms
Step 2 took 146393ms
********** Factor found in step 2: 4162326077832630614790745593107203610941
Found probable prime factor of 40 digits: 4162326077832630614790745593107203610941
Probable prime cofactor 430969092146... has 168 digits

7001379584895337223414185259081705651984836439660497484787095922667420055409828177964196022548655755487487053882973950819151486300217832892131496283621480580556673145898435270147<178>

3048443429255239050192724439840166911905126204620624192917021539356809790209146100871318117998238343791961538971599881940379399906877473718985291082755437406359415408570652575739331207020848580199<196>

101119586848218964690149553363<30>

30146913414816150106407561019941839942925915713491501684166161607358535142098741619513350393518777081237200368630204384248910355708282881720304755989874317497982466973<167>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1704023569
Step 1 took 9578ms
Step 2 took 5632ms
********** Factor found in step 2: 101119586848218964690149553363
Found probable prime factor of 30 digits: 101119586848218964690149553363
Composite cofactor 30146913414816150106407561019941839942925915713491501684166161607358535142098741619513350393518777081237200368630204384248910355708282881720304755989874317497982466973 has 167 digits

GMP-ECM 6.3

24633829569874042815990907559083219713401156249160881061483059723078611461147020760032448850309239051388717666413668657985153521247181085723162510793084429237281993006222492036371854800782250955207857847239<206>

2132556425808940952922361899558867962805023941<46>
264308931534985716628684976944757671183953800917826450603148135637663081327<75>
43703836447481428860194257995868735945673920026499349658031659241419024291206589491477<86>

#
# N = 23x10^215-11 = 76(214)3
#
n: 24633829569874042815990907559083219713401156249160881061483059723078611461147020760032448850309239051388717666413668657985153521247181085723162510793084429237281993006222492036371854800782250955207857847239
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
# Murphy_E = 3.023e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
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 24633829569874042815990907559083219713401156249160881061483059723078611461147020760032448850309239051388717666413668657985153521247181085723162510793084429237281993006222492036371854800782250955207857847239 (206 digits)
Using B1=50150000, B2=288591693406, polynomial Dickson(12), sigma=3314909727
Step 1 took 282807ms
Step 2 took 71098ms
********** Factor found in step 2: 2132556425808940952922361899558867962805023941
Found probable prime factor of 46 digits: 2132556425808940952922361899558867962805023941
Composite cofactor 11551314315413582365669186808082679134474798437079936489714258539738546501070673010762228368260374835645082361829191458245622832532321931633606951257001824349979 has 161 digits



Number: n
N=24633829569874042815990907559083219713401156249160881061483059723078611461147020760032448850309239051388717666413668657985153521247181085723162510793084429237281993006222492036371854800782250955207857847239
  ( 206 digits)
SNFS difficulty: 216 digits.
Divisors found:

Fri Feb  7 22:36:39 2020  found factor: 2132556425808940952922361899558867962805023941
Fri Feb  7 22:41:57 2020  found factor: 2132556425808940952922361899558867962805023941
Fri Feb  7 22:47:14 2020  found factor: 2132556425808940952922361899558867962805023941
Fri Feb  7 22:52:32 2020  found factor: 2132556425808940952922361899558867962805023941
Fri Feb  7 23:03:11 2020  p46 factor: 2132556425808940952922361899558867962805023941
Fri Feb  7 23:03:11 2020  p75 factor: 264308931534985716628684976944757671183953800917826450603148135637663081327
Fri Feb  7 23:03:11 2020  p86 factor: 43703836447481428860194257995868735945673920026499349658031659241419024291206589491477
Fri Feb  7 23:03:11 2020  elapsed time 07:09:10 (Msieve 1.54 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
# N = 23x10^215-11 = 76(214)3
#
n: 24633829569874042815990907559083219713401156249160881061483059723078611461147020760032448850309239051388717666413668657985153521247181085723162510793084429237281993006222492036371854800782250955207857847239

m: 10000000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
# Murphy_E = 3.023e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 82800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11282294 hash collisions in 66238939 relations (56968834 unique)
Msieve: matrix is 3792491 x 3792716 (1317.7 MB)

Sieving start time: 2020/02/06 00:58:57
Sieving end time  : 2020/02/07 15:52:16

Total sieving time: 38hrs 53min 19secs.

Total relation processing time: 6hrs 11min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 37min 2sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
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)

123512282103124518908686508954471502999929644496116509781950934589602126819269174656056773093229869408372911970316389676676752429463290823663135306179210322057<159>

175007355846564925474790359583034754402987965124675671855526462043937254565182985141329051957126037945520810053450828988533608855207852047229816786076226081544301096510827878637<177>

438992194244221995941590991456261251<36>
398657101746105518199867013497646180006579301088907579541285552608660701992339733637721470594478050360098728418873716027405117765772135399887<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1542314840
Step 1 took 23410ms
Step 2 took 8944ms
********** Factor found in step 2: 438992194244221995941590991456261251
Found probable prime factor of 36 digits: 438992194244221995941590991456261251

1833585302550239724745990334752889720184553355579128168798099353565772540544776098108108764866823010522837516114192651813596804901060250299055503409633286403502282154964988814914733182855899348067883179<202>

975016823844969447966061079530719515300023<42>
2208131925375961686614865272644087233289711825086788265624423541029358796228917<79>
851655573235298365338342764700092089367211333274045325539210411899463909358210969<81>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1833585302550239724745990334752889720184553355579128168798099353565772540544776098108108764866823010522837516114192651813596804901060250299055503409633286403502282154964988814914733182855
899348067883179 (202 digits)
Using B1=13080000, B2=46845604270, polynomial Dickson(12), sigma=1:999998787
Step 1 took 21277ms
Step 2 took 9206ms
********** Factor found in step 2: 975016823844969447966061079530719515300023
Found prime factor of 42 digits: 975016823844969447966061079530719515300023
Composite cofactor 1880567860685227723132400769708861830520042668072077278223391218937324529718543060484559772807470336792872356685796608016010511057127678973021015502386904390573 has 160 digits



Number: n
N=1880567860685227723132400769708861830520042668072077278223391218937324529718543060484559772807470336792872356685796608016010511057127678973021015502386904390573  ( 160 digits)
SNFS difficulty: 221 digits.
Divisors found:

Fri Oct  9 19:05:26 2020  prp79 factor: 2208131925375961686614865272644087233289711825086788265624423541029358796228917
Fri Oct  9 19:05:26 2020  prp81 factor: 851655573235298365338342764700092089367211333274045325539210411899463909358210969
Fri Oct  9 19:05:26 2020  elapsed time 15:41:17 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.113).
Factorization parameters were as follows:
#
# N = 23x10^219-11 = 76(218)3
#
n: 1880567860685227723132400769708861830520042668072077278223391218937324529718543060484559772807470336792872356685796608016010511057127678973021015502386904390573
#
m: 50000000000000000000000000000000000000000000
deg: 5
c5: 368
c0: -55
skew: 0.68
# Murphy_E = 2.008e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 34000000/34000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 57000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10148157 hash collisions in 59140730 relations (50597113 unique)
Msieve: matrix is 4840440 x 4840665 (1389.4 MB)

Sieving start time: 2020/10/08 02:13:49
Sieving end time  : 2020/10/09 03:23:09

Total sieving time: 25hrs 9min 20secs.

Total relation processing time: 14hrs 55min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 29min 29sec.

Prototype def-par.txt line would be:
snfs,221,5,0,0,0,0,0,0,0,0,34000000,34000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

341856662449729661290830365434747990642029788263143242006078660019623422776491267901161913525771105788098073462767161008465852086018964188585605463206815000360142443183372327367040080653808979<192>

57273674514834904423279243380974117169689437396249211512464503969153<68>
5968827132982059344803617386410371981389483059868460787515112379195390096573765321480726025976993738318809577667702625221843<124>

Number: 76663_220
N = 341856662449729661290830365434747990642029788263143242006078660019623422776491267901161913525771105788098073462767161008465852086018964188585605463206815000360142443183372327367040080653808979 (192 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=57273674514834904423279243380974117169689437396249211512464503969153 (pp68)
r2=5968827132982059344803617386410371981389483059868460787515112379195390096573765321480726025976993738318809577667702625221843 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 81.20 hours.
Factorization parameters were as follows:
n: 341856662449729661290830365434747990642029788263143242006078660019623422776491267901161913525771105788098073462767161008465852086018964188585605463206815000360142443183372327367040080653808979
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: -11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7035410 relations
Pruned matrix : 6475416 x 6475641
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 44.14 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 35.84 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 81.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

13230989969171741598390832273282236665213058335214449332200325695084549911787235331209999902142447667138914639031979217041683516548115069420435830408808522137704978516234687298561593328183797521705684968261538653879<215>

125556615520294179630873492954660094967867646486291980829742053205644579122167594023270063463080613<99>
105378676498596506117709168448763446507171989456124036624797650971417689198823727208137768092692427773351205880951083<117>

Number: n
N=13230989969171741598390832273282236665213058335214449332200325695084549911787235331209999902142447667138914639031979217041683516548115069420435830408808522137704978516234687298561593328183797521705684968261538653879
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Thu Aug 15 02:52:21 2019  p99 factor: 125556615520294179630873492954660094967867646486291980829742053205644579122167594023270063463080613
Thu Aug 15 02:52:21 2019  p117 factor: 105378676498596506117709168448763446507171989456124036624797650971417689198823727208137768092692427773351205880951083
Thu Aug 15 02:52:21 2019  elapsed time 13:10:19 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 23x10^222-11 = 76(221)3
#
n: 13230989969171741598390832273282236665213058335214449332200325695084549911787235331209999902142447667138914639031979217041683516548115069420435830408808522137704978516234687298561593328183797521705684968261538653879
m: 10000000000000000000000000000000000000
deg: 6
c6: 23
c0: -11
skew: 0.88
# Murphy_E = 1.605e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 123300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14489166 hash collisions in 70363913 relations (56275615 unique)
Msieve: matrix is 5277334 x 5277559 (1851.0 MB)

Sieving start time: 2019/08/11 22:57:58
Sieving end time  : 2019/08/14 13:38:53

Total sieving time: 62hrs 40min 55secs.

Total relation processing time: 12hrs 37min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 17sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284112K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 419348K reserved, 0K cma-reserved)
[    0.080568] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.78 BogoMIPS (lpj=11977576)
[    0.078219] smpboot: Total of 16 processors activated (95820.60 BogoMIPS)

7744458956541344646531831372211773647734687684261890168460653673318821779661923409199161639522582138701414385434714743520717899908131912579984146899283168556189413478063089921229869900753453<190>

629149975379951835478316576573515679717<39>

12309400396724748136815462911338191151477109251780189381317449877113403160713557646755813304281814412914147075667912103917558440127970919893672060708009<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1869637671
Step 1 took 24093ms
Step 2 took 9251ms
********** Factor found in step 2: 629149975379951835478316576573515679717
Found probable prime factor of 39 digits: 629149975379951835478316576573515679717

12309400396724748136815462911338191151477109251780189381317449877113403160713557646755813304281814412914147075667912103917558440127970919893672060708009<152>

1051288471254015057109424101285484625233<40>
11708870337027141972213896388312738722339606224136124937742138372766995491827144512550054362836746872007242202073<113>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4287993058
Step 1 took 60098ms
Step 2 took 24143ms
********** Factor found in step 2: 1051288471254015057109424101285484625233
Found probable prime factor of 40 digits: 1051288471254015057109424101285484625233

23608908625041603728829959740856730447013584398969644528002301457711140669769608951020508596817033197902984182306600571186467002992782637827721059984320817195325029784687686900109<179>

32279063386993174821845418759570577<35>

731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917<144>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2162704194
Step 1 took 7862ms
Step 2 took 4945ms
********** Factor found in step 2: 32279063386993174821845418759570577
Found probable prime factor of 35 digits: 32279063386993174821845418759570577
Composite cofactor 731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917 has 144 digits

GMP-ECM 6.3

731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917<144>

13491654888616896900152510272143480865707697702429649975734490657045371<71>
54211292653296224152171354593078144198636118688113769429486426468846645927<74>

PID21234 2020-03-30 12:34:53,554 Debug:root: Root parameter dictionary:
N = 731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917
name = 76663_224
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.07
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID21234 2020-03-30 13:08:25,829 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917
skew: 1329971.764
c0: -100014724283427362671893076251122955
c1: -125203736722136624219051005974
c2: 531339855089961581380904
c3: 103016365043919466
c4: -95673149061
c5: 23940
Y0: -8392589187564696525599934718
Y1: 629191629016969966877
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.820e-06
PID21234 2020-03-30 17:54:53,341 Info:Square Root: Factors: 54211292653296224152171354593078144198636118688113769429486426468846645927 13491654888616896900152510272143480865707697702429649975734490657045371
PID21234 2020-03-30 17:54:53,341 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID21234 2020-03-30 17:54:53,341 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID21234 2020-03-30 17:54:53,341 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID21234 2020-03-30 17:54:53,341 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146284/42.130/52.405/59.860/1.242
PID21234 2020-03-30 17:54:53,342 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121446/41.930/46.285/52.620/0.969
PID21234 2020-03-30 17:54:53,342 Info:Polynomial Selection (size optimized): Total time: 62157.6
PID21234 2020-03-30 17:54:53,342 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID21234 2020-03-30 17:54:53,342 Info:Polynomial Selection (root optimized): Total time: 2127.89
PID21234 2020-03-30 17:54:53,342 Info:Polynomial Selection (root optimized): Rootsieve time: 2125.79
PID21234 2020-03-30 17:54:53,342 Info:Generate Factor Base: Total cpu/real time for makefb: 14.35/2.73395
PID21234 2020-03-30 17:54:53,342 Info:Generate Free Relations: Total cpu/real time for freerel: 1340.22/226.345
PID21234 2020-03-30 17:54:53,342 Info:Lattice Sieving: Aggregate statistics:
PID21234 2020-03-30 17:54:53,342 Info:Lattice Sieving: Total number of relations: 97270666
PID21234 2020-03-30 17:54:53,342 Info:Lattice Sieving: Average J: 8092.06 for 540478 special-q, max bucket fill -bkmult 1.0,1s:1.090980
PID21234 2020-03-30 17:54:53,342 Info:Lattice Sieving: Total time: 517463s
PID21234 2020-03-30 17:54:53,342 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 278.86/306.397
PID21234 2020-03-30 17:54:53,342 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID21234 2020-03-30 17:54:53,342 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 305.5s
PID21234 2020-03-30 17:54:53,342 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1082.31/410.024
PID21234 2020-03-30 17:54:53,342 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID21234 2020-03-30 17:54:53,342 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.79999999999995s
PID21234 2020-03-30 17:54:53,343 Info:Filtering - Singleton removal: Total cpu/real time for purge: 450.87/196.2
PID21234 2020-03-30 17:54:53,343 Info:Filtering - Merging: Total cpu/real time for merge: 145.23/33.5541
PID21234 2020-03-30 17:54:53,343 Info:Filtering - Merging: Total cpu/real time for replay: 51.62/53.0971
PID21234 2020-03-30 17:54:53,343 Info:Linear Algebra: Total cpu/real time for bwc: 40445.2/7161.1
PID21234 2020-03-30 17:54:53,343 Info:Linear Algebra: Aggregate statistics:
PID21234 2020-03-30 17:54:53,343 Info:Linear Algebra: Krylov: WCT time 4577.81, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (66048 iterations)
PID21234 2020-03-30 17:54:53,343 Info:Linear Algebra: Lingen CPU time 255.46, WCT time 48.04
PID21234 2020-03-30 17:54:53,343 Info:Linear Algebra: Mksol: WCT time 2450.23, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
PID21234 2020-03-30 17:54:53,343 Info:Quadratic Characters: Total cpu/real time for characters: 68.03/20.7816
PID21234 2020-03-30 17:54:53,343 Info:Square Root: Total cpu/real time for sqrt: 1069.71/230.379
PID21234 2020-03-30 17:54:53,343 Info:HTTP server: Shutting down HTTP server
PID21234 2020-03-30 17:54:53,589 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.17028e+06/19199

CADO-NFS

3314280661507319387486825333060889708155704310014209218503938297076478781979747572869417272384955633694477614135107952009<121>

4999432978065796065068279930071578008542234811<46>
662931311620375744893454381583222380397999347324772923801661132730079764619<75>

N = 3314280661507319387486825333060889708155704310014209218503938297076478781979747572869417272384955633694477614135107952009 (121 digits)
Divisors found:
r1=4999432978065796065068279930071578008542234811 (pp46)
r2=662931311620375744893454381583222380397999347324772923801661132730079764619 (pp75)
Version: Msieve v. 1.48
Total time: 13.55 hours.
Factorization parameters were as follows:
n: 3314280661507319387486825333060889708155704310014209218503938297076478781979747572869417272384955633694477614135107952009
Y0: -211025476025467391817843
Y1: 7549197102239
c0: 10406948361308036175708834371344
c1: 315988208622309749502366720
c2: 1314416541539083805247
c3: -3545819109458180
c4: -5271797676
c5: 7920
skew: 412574.67 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10459656
Relations: 1162628 relations
Pruned matrix : 668865 x 669093
Polynomial selection time: 0.00 hours.
Total sieving time: 12.95 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.52 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 13.55 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

18404518006574083173955684192280288566799670261801345665245770699709985126263125503814731549398100015732295758140442781182655352902428576187808561144649102188910806903526815049722204961955493638212257241<203>

1404419577972030587439332632943<31>
13104714784131707930550467538202880841282710474250200295734610113102684100605914277187721379956282304477093087442040441083231604326845329989053654042874129854077307621298487<173>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1738861789
Step 1 took 7550ms
Step 2 took 4883ms
********** Factor found in step 2: 1404419577972030587439332632943
Found probable prime factor of 31 digits: 1404419577972030587439332632943
Probable prime cofactor 13104714784131707930550467538202880841282710474250200295734610113102684100605914277187721379956282304477093087442040441083231604326845329989053654042874129854077307621298487 has 173 digits

GMP-ECM 6.3

776152737821951765088293611500383580703036251829641186356674461721137576506882850969252336843625920431877668600461964780599073082036648474679399845781707906026954281023347379490498369731179817188331361320947<207>

2982616266206180943737660041348004016900591396104702587677897237499683248766920526773971684244404793547546721705014339510654285286462078439437346129802190946182926636356454661<175>

18637406892351121975668348785255125083330921159756747125352836114084374037918183928502535282981200035900952763662745282927445643073279246787687785060136313848662358833834931163917655819318926465332982184183343958037<215>

1360033755341715330160955933<28>
13703635530478712005177701793240208202759330647315723967628177467921158883581448759834818393597932322210384633015112882133964659334363588623369747393900252525597374426348379316873151360089<188>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3711159462
Step 1 took 10593ms
Step 2 took 6021ms
********** Factor found in step 2: 1360033755341715330160955933
Found probable prime factor of 28 digits: 1360033755341715330160955933
Probable prime cofactor 13703635530478712005177701793240208202759330647315723967628177467921158883581448759834818393597932322210384633015112882133964659334363588623369747393900252525597374426348379316873151360089 has 188 digits

GMP-ECM 6.3

1343197906996946658235909955461932261534197252751980098312492019094008990306837415580877335795146581203409781212292238592269290618216781<136>

24507224683039669792105268997891841403<38>
54808242237502826858164851753830131167705911251949869573329483368529462782154341160971314543226327<98>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2184580833
Step 1 took 4415ms
Step 2 took 3432ms
********** Factor found in step 2: 24507224683039669792105268997891841403
Found probable prime factor of 38 digits: 24507224683039669792105268997891841403
Probable prime cofactor 54808242237502826858164851753830131167705911251949869573329483368529462782154341160971314543226327 has 98 digits

7026892511262232995739634208735624069085219938629016945312279043297766224749647654121124862436661013805103813364498889688110215206793945832934330364590793252706577810136190199211796914275857644328775908700910009426357<217>

453977820258189091600216970430341<33>

15478492996124469141972479680067010383402268323745099600201774091095966909775721252830139314640723815310070734583096975412464311491492261427103915298455550968267318018660292742185816177<185>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4060488159
Step 1 took 11138ms
Step 2 took 6365ms
********** Factor found in step 2: 453977820258189091600216970430341
Found probable prime factor of 33 digits: 453977820258189091600216970430341
Composite cofactor 15478492996124469141972479680067010383402268323745099600201774091095966909775721252830139314640723815310070734583096975412464311491492261427103915298455550968267318018660292742185816177 has 185 digits

GMP-ECM 6.3

1682481504750627770941214789973337243574838227732416755818892498427385273068404899451901648532459704439676562594614994355544660891288865043522786581880073401070079152467412525118909504775401864692337191887740414078026131<220>

27387540907328438148024673761519637<35>

61432368478924825932683631116898245688472475410114900413614214380410676524372544850353745102207486834799990089754605017696816155052291179292005266120881073553768961965621761166667597063<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3111705243
Step 1 took 20851ms
Step 2 took 7875ms
********** Factor found in step 2: 27387540907328438148024673761519637
Found probable prime factor of 35 digits: 27387540907328438148024673761519637
Composite cofactor

35388990062677732643839484840686821579693461460495095756060146444349153690535674203012132658263421729537523183885151316605293156785293623273728719040467108573293804200709740351303026999265258404273910481509384246974813343426088661<230>

109902569481117692328055266574729<33>
322003300102623151388273668524395443601908806668850952152891962581633755595443777003800373232496754088977524208751981175987591516984134813956200056026573859165033341417618359660747834209173964540909<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1723951321
Step 1 took 31921ms
Step 2 took 11664ms
********** Factor found in step 2: 109902569481117692328055266574729
Found probable prime factor of 33 digits: 109902569481117692328055266574729

933396672819901611143707622598944095419697126658872642118764345622032161286205031479634731363912617692341572421706068201290109226849720201563846063262972390584999830913163595473040746510530019195627236253561816339440722268189302861<231>

766666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<240>

20578980716425727479359133729346440267504137360837413646019907550969139058013491556713911388161372980078472626021653<116>
37254841589638537900400937875527054803196962254908923101887864920185249305344747284145043053450255848833355271288882545588171<125>

Number: n
N=766666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 240 digits)
SNFS difficulty: 241 digits.
Divisors found:

Fri Feb 22 06:17:45 2019  p116 factor: 20578980716425727479359133729346440267504137360837413646019907550969139058013491556713911388161372980078472626021653
Fri Feb 22 06:17:45 2019  p125 factor: 37254841589638537900400937875527054803196962254908923101887864920185249305344747284145043053450255848833355271288882545588171
Fri Feb 22 06:17:45 2019  elapsed time 80:33:43 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 23x10^239-11 = 76(238)3
#
n: 766666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 10000000000000000000000000000000000000000
deg: 6
c6: 23
c0: -110
skew: 1.30
# Murphy_E = 3.761e-13
type: snfs
lss: 1
rlim: 74000000
alim: 74000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 74000000/74000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved  special-q in [100000, 213800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 25378181 hash collisions in 118731366 relations (94083101 unique)
Msieve: matrix is 11556648 x 11556873 (4082.6 MB)

Sieving start time: 2019/02/12 12:35:52
Sieving end time  : 2019/02/18 21:39:55

Total sieving time: 153hrs 4min 3secs.

Total relation processing time: 79hrs 21min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 25min 34sec.

Prototype def-par.txt line would be:
snfs,241,6,0,0,0,0,0,0,0,0,74000000,74000000,30,30,61,61,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285116K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418344K reserved, 0K cma-reserved)
[    0.080546] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976796)
[    0.078209] smpboot: Total of 16 processors activated (95814.36 BogoMIPS)

156215689364055063082551112324508205590767579575332072515619169463705329697350715759768840992693843923520658895425611682999212660137931673205570842561762217446533611645316951008861241304838674146024701384957231<210>

14312531099503375389188478534481<32>
10914609601754893432384040833318529614396187009992720325460593475378450223836953805494884845960957618927713112421079505665918441479118145089163712779695127207123045429368408602751<179>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=938163109
Step 1 took 9891ms
Step 2 took 5897ms
********** Factor found in step 2: 14312531099503375389188478534481
Found probable prime factor of 32 digits: 14312531099503375389188478534481
Probable prime cofactor 10914609601754893432384040833318529614396187009992720325460593475378450223836953805494884845960957618927713112421079505665918441479118145089163712779695127207123045429368408602751 has 179 digits

GMP-ECM 6.3

1778507816388025990894577426198520252290331296937185336491381182551567612262958992268954787395156624733457184731490658808563789848671052691166519594612020463634828157061964714802183505139714007560335838464060689<211>

331631465553653753330469149882034169436909560400445517012147627760008770205576599233285768659448139618761426612147692417983207810675958854019594945208865049435966869430206938636002916655426366872446399192337542283493581<219>

8616603607600420738717082731<28>
38487492364292192597056153591880472437793589586618629543697158546772159887492548685386465168673931182442932138544065235849304734843226795447636036841564371676241411614640865915172676119805351<191>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=509779145
Step 1 took 11763ms
Step 2 took 6396ms
********** Factor found in step 2: 8616603607600420738717082731
Found probable prime factor of 28 digits: 8616603607600420738717082731
Probable prime cofactor 38487492364292192597056153591880472437793589586618629543697158546772159887492548685386465168673931182442932138544065235849304734843226795447636036841564371676241411614640865915172676119805351 has 191 digits

GMP-ECM 6.3

22397575533044523138081896836087651885853198890312279500162600398577566369159073491669238576897601754031867014144189743500157536956896941117817454697297786048872772398298335275505433924810804650768764428009481580751485681979158197<230>

103820593503362837892555969211953535398162244531637083905685910750361985290761882266107146085393819869743962555803707056199914062968747654110006406378004712665192237536580907979545930571438864660597771202824880508983957411897387<228>

1842965248479609982407642677269<31>

56333451533615001835106272597453761500143752953696207463049259121532071264992996425482725794802038931647665866094487380080809615591547446961106562721265872167165674209592794041595264982198850645823<197>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3363144323
Step 1 took 11560ms
********** Factor found in step 1: 1842965248479609982407642677269
Found probable prime factor of 31 digits: 1842965248479609982407642677269
Composite cofactor 56333451533615001835106272597453761500143752953696207463049259121532071264992996425482725794802038931647665866094487380080809615591547446961106562721265872167165674209592794041595264982198850645823 has 197 digits

GMP-ECM 6.3

187066860460451429275929339358425068420700547775606140283603754868812560561726906193272406649149058919125744524172963928890378439943115310136403355575086908233700120450643448715253797720990953704455066333937185972233846462042247483953370143<240>

22913534532371921826655392157298125673939957728649<50>

8164033366225798964112738835103379712914524537397567070846825094359642331673702852792265489399701407529057821842503051364629027703954737449524188071741073059795225208874058664364513110690407<190>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2500401199
Step 1 took 503210ms
Step 2 took 126221ms
********** Factor found in step 2: 22913534532371921826655392157298125673939957728649
Found probable prime factor of 50 digits: 22913534532371921826655392157298125673939957728649

25544418744557228028445630296614186584684417742675954502637423220045812450200681475928372415142256820046463550787877343589980667833359700588406547953577879297668035930068734372850233993536796129779000216413347<209>

21519609861114026618541480336666913822911855656728333414281722913863712664853761041719509742357932403282998246809072786739270771176847790576709479488082874864308393966977196913023283725152089014503811098649118664862610601631<224>

111542387123610368728230454076076008771<39>
192927643168208059853074607139714670404351744687750431671209437763379014990902982806242664943307321245962894800601917025845203128508406213633480450744261305467595655889430435875037324661<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3811306993
Step 1 took 21006ms
Step 2 took 4078ms
********** Factor found in step 2: 111542387123610368728230454076076008771
Found probable prime factor of 39 digits: 111542387123610368728230454076076008771
Probable prime cofactor 

499015849967281292357719120690474753548936249474357155622136675194203830511826444074894928798854167878151107369956500271499578954007064024758043539055336585890092898970750624500302215931650424099<195>

1970953832338626406327524183350975173188833<43>
253184951255391040624789566396309104987718759380899126833935775442371415245840532534891616670949008955928514221170931079129004519982152096485241116227203<153>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=885404559
Step 1 took 383634ms
Step 2 took 97180ms
********** Factor found in step 2: 1970953832338626406327524183350975173188833
Found probable prime factor of 43 digits: 1970953832338626406327524183350975173188833

19922216736394425244047155020831709239577649005188438184826200313558367764120953841090005110481684553352562603400635778568891891657788287468925672807906521494339491896854888305658775736472381744320002771786676367920033954386785507020415941238122461<248>

132170699708930893650691226436654033792792350872282938494607188425752905133614023099408254684407557650688215579436943260554296341850384151165388379463230774472168360745675826559572396130211684384989613342177142880996297233132491<228>

327724711397333959246202270713503023<36>
403297936079915951019746001374256342785785709372619990915204623972309966938450499315214718716385141950378326756280216239156284098739654825801512006300171334338371904233441139161236348512455717<192>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 132170699708930893650691226436654033792792350872282938494607188425752905133614023099408254684407557650688215579436943260554296341850384151165388379463230774472168360745675826559572396130211684384989613342177142880996297233132491 (228 digits)
Run 984 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1136217114
Step 1 took 7255ms
Step 2 took 3748ms
********** Factor found in step 2: 327724711397333959246202270713503023
Found prime factor of 36 digits: 327724711397333959246202270713503023
Prime cofactor 403297936079915951019746001374256342785785709372619990915204623972309966938450499315214718716385141950378326756280216239156284098739654825801512006300171334338371904233441139161236348512455717 has 192 digits

GMP-ECM 7.0.4

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)