602847936804905934933998544849807712296019124831098638395177216505560752520528011641201538301631847<99>

378980653168484429716330805966707908641167<42>
1590709002596225501218237944810237612242622890947590032041<58>

Number: n
N=602847936804905934933998544849807712296019124831098638395177216505560752520528011641201538301631847
  ( 99 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=378980653168484429716330805966707908641167 (pp42)
 r2=1590709002596225501218237944810237612242622890947590032041 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.35 hours.
Scaled time: 0.64 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_4_100_3
n: 602847936804905934933998544849807712296019124831098638395177216505560752520528011641201538301631847
m: 20000000000000000000000000
deg: 4
c4: 145
c0: -52
skew: 0.77
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
qintsize: 10000
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [200000, 260001)
Primes: RFBsize:33860, AFBsize:33714, largePrimes:1034002 encountered
Relations: rels:968213, finalFF:100967
Max relations in full relation-set: 48
Initial matrix: 67641 x 100967 with sparse part having weight 4053842.
Pruned matrix : 52459 x 52861 with weight 1539494.
Total sieving time: 0.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.02 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,103,4,0,0,0,0,0,0,0,0,400000,400000,25,25,43,43,2.2,2.2,10000
total time: 0.35 hours.
 --------- CPU info (if available) ----------

692951015531660692951015531660692951015531660692951015531660692951015531660692951015531660692951015531660692951<111>

652436120450225810366755666771025792484664531<45>
1062097872590924024217052162548785136776202179702201158841319923821<67>

SNFS difficulty: 114 digits.
Divisors found:
 r1=652436120450225810366755666771025792484664531 (pp45)
 r2=1062097872590924024217052162548785136776202179702201158841319923821 (pp67)
Version: Msieve v. 1.42
Total time: 0.71 hours.
Scaled time: 1.91 units (timescale=2.699).
Factorization parameters were as follows:
n: 692951015531660692951015531660692951015531660692951015531660692951015531660692951015531660692951015531660692951
m: 20000000000000000000000
deg: 5
c5: 725
c0: -52
skew: 0.59
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 : 57409 x 57635
Total sieving time: 0.67 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 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: 0.71 hours.

3955038123733294154552830225937839027981089639074561881089832913509377721150125554052066842591<94>

11253044703352173797806298790102967343<38>
351463824057779343280271448782487763478579276272297536337<57>

Sun Jun 28 16:54:01 2009  Msieve v. 1.41
Sun Jun 28 16:54:01 2009  random seeds: ffdefb00 e3939988
Sun Jun 28 16:54:01 2009  factoring 3955038123733294154552830225937839027981089639074561881089832913509377721150125554052066842591 (94 digits)
Sun Jun 28 16:54:01 2009  searching for 15-digit factors
Sun Jun 28 16:54:03 2009  commencing quadratic sieve (94-digit input)
Sun Jun 28 16:54:03 2009  using multiplier of 5
Sun Jun 28 16:54:03 2009  using 32kb Intel Core sieve core
Sun Jun 28 16:54:03 2009  sieve interval: 36 blocks of size 32768
Sun Jun 28 16:54:03 2009  processing polynomials in batches of 6
Sun Jun 28 16:54:03 2009  using a sieve bound of 2025307 (75235 primes)
Sun Jun 28 16:54:03 2009  using large prime bound of 271391138 (28 bits)
Sun Jun 28 16:54:03 2009  using double large prime bound of 1515207662043732 (42-51 bits)
Sun Jun 28 16:54:03 2009  using trial factoring cutoff of 51 bits
Sun Jun 28 16:54:03 2009  polynomial 'A' values have 12 factors
Sun Jun 28 20:42:43 2009  75336 relations (18180 full + 57156 combined from 1080234 partial), need 75331
Sun Jun 28 20:42:44 2009  begin with 1098414 relations
Sun Jun 28 20:42:45 2009  reduce to 197110 relations in 9 passes
Sun Jun 28 20:42:45 2009  attempting to read 197110 relations
Sun Jun 28 20:42:48 2009  recovered 197110 relations
Sun Jun 28 20:42:48 2009  recovered 183003 polynomials
Sun Jun 28 20:42:48 2009  attempting to build 75336 cycles
Sun Jun 28 20:42:49 2009  found 75336 cycles in 6 passes
Sun Jun 28 20:42:49 2009  distribution of cycle lengths:
Sun Jun 28 20:42:49 2009     length 1 : 18180
Sun Jun 28 20:42:49 2009     length 2 : 13127
Sun Jun 28 20:42:49 2009     length 3 : 12543
Sun Jun 28 20:42:49 2009     length 4 : 10283
Sun Jun 28 20:42:49 2009     length 5 : 7819
Sun Jun 28 20:42:49 2009     length 6 : 5228
Sun Jun 28 20:42:49 2009     length 7 : 3525
Sun Jun 28 20:42:49 2009     length 9+: 4631
Sun Jun 28 20:42:49 2009  largest cycle: 23 relations
Sun Jun 28 20:42:49 2009  matrix is 75235 x 75336 (20.1 MB) with weight 4962914 (65.88/col)
Sun Jun 28 20:42:49 2009  sparse part has weight 4962914 (65.88/col)
Sun Jun 28 20:42:50 2009  filtering completed in 3 passes
Sun Jun 28 20:42:50 2009  matrix is 72005 x 72069 (19.3 MB) with weight 4777877 (66.30/col)
Sun Jun 28 20:42:50 2009  sparse part has weight 4777877 (66.30/col)
Sun Jun 28 20:42:50 2009  saving the first 48 matrix rows for later
Sun Jun 28 20:42:50 2009  matrix is 71957 x 72069 (12.2 MB) with weight 3788035 (52.56/col)
Sun Jun 28 20:42:50 2009  sparse part has weight 2761797 (38.32/col)
Sun Jun 28 20:42:50 2009  matrix includes 64 packed rows
Sun Jun 28 20:42:50 2009  using block size 28827 for processor cache size 1024 kB
Sun Jun 28 20:42:51 2009  commencing Lanczos iteration
Sun Jun 28 20:42:51 2009  memory use: 11.7 MB
Sun Jun 28 20:43:28 2009  lanczos halted after 1139 iterations (dim = 71951)
Sun Jun 28 20:43:28 2009  recovered 13 nontrivial dependencies
Sun Jun 28 20:43:29 2009  prp38 factor: 11253044703352173797806298790102967343
Sun Jun 28 20:43:29 2009  prp57 factor: 351463824057779343280271448782487763478579276272297536337
Sun Jun 28 20:43:29 2009  elapsed time 03:49:28

644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<117>

36666873968480742387982057101824145634673636068789484339<56>
17575658208507661253565689505378100610551179018660768260310137<62>

SNFS difficulty: 118 digits.
Divisors found:
 r1=36666873968480742387982057101824145634673636068789484339 (pp56)
 r2=17575658208507661253565689505378100610551179018660768260310137 (pp62)
Version: Msieve v. 1.42
Total time: 0.72 hours.
Scaled time: 1.97 units (timescale=2.739).
Factorization parameters were as follows:
n: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 200000000000000000000000
deg: 5
c5: 145
c0: -104
skew: 0.94
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 70823 x 71049
Total sieving time: 0.67 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.72 hours.

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<118>

675790396195456442895915104432949740666991523<45>
9536158668020699116745173193884730385667768369512984877372857570707904041<73>

Number: 64443_117
N=6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 118 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=675790396195456442895915104432949740666991523 (pp45)
 r2=9536158668020699116745173193884730385667768369512984877372857570707904041 (pp73)
Version: Msieve-1.40
Total time: 1.62 hours.
Scaled time: 3.37 units (timescale=2.085).
Factorization parameters were as follows:
name: 64443_117
n: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 200000000000000000000000
deg: 5
c5: 725
c0: -52
skew: 0.59
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 590001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80828 x 81054
Total sieving time: 1.56 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 1.62 hours.
 --------- CPU info (if available) ----------

167185918374717164040429611858520053404567571168591608978119727561224876610271251422105920063<93>

31626202427768372681682563838197<32>
5286310259872520471610188001300077202533865033368128652932579<61>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1236900711
Step 1 took 5784ms
Step 2 took 4948ms
********** Factor found in step 2: 31626202427768372681682563838197
Found probable prime factor of 32 digits: 31626202427768372681682563838197
Probable prime cofactor 5286310259872520471610188001300077202533865033368128652932579 has 61 digits

GMP-ECM 6.2.3

10117710190461934473009304628321930124452353423611672709442911428185146358181590488935152642064613521952989779610751<116>

20739698165441745472143977056603<32>
487842692297273949867459723857663010869242116718559328343030013911282591596902649517<84>

SNFS difficulty: 124 digits.
Divisors found:
 r1=20739698165441745472143977056603 (pp32)
 r2=487842692297273949867459723857663010869242116718559328343030013911282591596902649517 (pp84)
Version: Msieve v. 1.42
Total time: 1.07 hours.
Scaled time: 2.92 units (timescale=2.738).
Factorization parameters were as follows:
n: 10117710190461934473009304628321930124452353423611672709442911428185146358181590488935152642064613521952989779610751
m: 2000000000000000000000000
deg: 5
c5: 725
c0: -52
skew: 0.59
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 765001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 105540 x 105788
Total sieving time: 0.97 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,50000
total time: 1.07 hours.

68581019253493123466471220014200095653837774179925416620219999548337191520566357504095160518146710794723443114443<113>

14261505825626082595820373781089104840019592878166331551<56>
4808820337208844827360136163259599581637949123534929470293<58>

Number: 64443_128
N=68581019253493123466471220014200095653837774179925416620219999548337191520566357504095160518146710794723443114443
  ( 113 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=14261505825626082595820373781089104840019592878166331551
 r2=4808820337208844827360136163259599581637949123534929470293
Version: 
Total time: 1.58 hours.
Scaled time: 3.78 units (timescale=2.390).
Factorization parameters were as follows:
n: 68581019253493123466471220014200095653837774179925416620219999548337191520566357504095160518146710794723443114443
m: 100000000000000000000000000
deg: 5
c5: 29
c0: -650
skew: 1.86
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2835190
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156420 x 156668
Total sieving time: 1.38 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.58 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673809)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672376)
Calibrating delay using timer specific routine.. 5430.28 BogoMIPS (lpj=2715140)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

20981171610035582164419150272767266755882901911373431794670668008723701373071536696140282554060983673945944952851<113>

9787483305184856962017021595435426277<37>
2143673808252724180424039293341153908233557786918513112730116683447368346263<76>

Number: n
N=20981171610035582164419150272767266755882901911373431794670668008723701373071536696140282554060983673945944952851
  ( 113 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=9787483305184856962017021595435426277 (pp37)
 r2=2143673808252724180424039293341153908233557786918513112730116683447368346263 (pp76)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.47 hours.
Scaled time: 4.50 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_4_129_3
n: 20981171610035582164419150272767266755882901911373431794670668008723701373071536696140282554060983673945944952851
m: 100000000000000000000000000
deg: 5
c5: 58
c0: -13
skew: 0.74
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [600000, 980001)
Primes: RFBsize:92938, AFBsize:92609, largePrimes:4750730 encountered
Relations: rels:4127468, finalFF:213711
Max relations in full relation-set: 48
Initial matrix: 185613 x 213711 with sparse part having weight 18258528.
Pruned matrix : 174221 x 175213 with weight 11392735.
Total sieving time: 2.07 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Total square root time: 0.16 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,56,56,2.3,2.3,50000
total time: 2.47 hours.
 --------- CPU info (if available) ----------

1864824169026366881665848988133902606847100055810034881259952154184029473528657675188049669199<94>

3332366710852869308417885511991106085178367213<46>
559609530053519556611176759097123548994837054123<48>

Sun Jun 28 20:57:37 2009  Msieve v. 1.41
Sun Jun 28 20:57:37 2009  random seeds: a9bdadcc 57a2d679
Sun Jun 28 20:57:37 2009  factoring 1864824169026366881665848988133902606847100055810034881259952154184029473528657675188049669199 (94 digits)
Sun Jun 28 20:57:38 2009  searching for 15-digit factors
Sun Jun 28 20:57:39 2009  commencing quadratic sieve (94-digit input)
Sun Jun 28 20:57:39 2009  using multiplier of 19
Sun Jun 28 20:57:39 2009  using 32kb Intel Core sieve core
Sun Jun 28 20:57:39 2009  sieve interval: 36 blocks of size 32768
Sun Jun 28 20:57:39 2009  processing polynomials in batches of 6
Sun Jun 28 20:57:39 2009  using a sieve bound of 1986839 (74118 primes)
Sun Jun 28 20:57:39 2009  using large prime bound of 256302231 (27 bits)
Sun Jun 28 20:57:39 2009  using double large prime bound of 1366955142352932 (42-51 bits)
Sun Jun 28 20:57:39 2009  using trial factoring cutoff of 51 bits
Sun Jun 28 20:57:39 2009  polynomial 'A' values have 12 factors
Sun Jun 28 23:52:08 2009  74244 relations (18184 full + 56060 combined from 1032634 partial), need 74214
Sun Jun 28 23:52:10 2009  begin with 1050818 relations
Sun Jun 28 23:52:11 2009  reduce to 192288 relations in 11 passes
Sun Jun 28 23:52:11 2009  attempting to read 192288 relations
Sun Jun 28 23:52:13 2009  recovered 192288 relations
Sun Jun 28 23:52:13 2009  recovered 175552 polynomials
Sun Jun 28 23:52:14 2009  attempting to build 74244 cycles
Sun Jun 28 23:52:14 2009  found 74244 cycles in 6 passes
Sun Jun 28 23:52:14 2009  distribution of cycle lengths:
Sun Jun 28 23:52:14 2009     length 1 : 18184
Sun Jun 28 23:52:14 2009     length 2 : 13292
Sun Jun 28 23:52:14 2009     length 3 : 12515
Sun Jun 28 23:52:14 2009     length 4 : 9850
Sun Jun 28 23:52:14 2009     length 5 : 7471
Sun Jun 28 23:52:14 2009     length 6 : 5174
Sun Jun 28 23:52:14 2009     length 7 : 3312
Sun Jun 28 23:52:14 2009     length 9+: 4446
Sun Jun 28 23:52:14 2009  largest cycle: 19 relations
Sun Jun 28 23:52:14 2009  matrix is 74118 x 74244 (19.4 MB) with weight 4794826 (64.58/col)
Sun Jun 28 23:52:14 2009  sparse part has weight 4794826 (64.58/col)
Sun Jun 28 23:52:15 2009  filtering completed in 3 passes
Sun Jun 28 23:52:15 2009  matrix is 70508 x 70572 (18.6 MB) with weight 4594906 (65.11/col)
Sun Jun 28 23:52:15 2009  sparse part has weight 4594906 (65.11/col)
Sun Jun 28 23:52:15 2009  saving the first 48 matrix rows for later
Sun Jun 28 23:52:15 2009  matrix is 70460 x 70572 (12.0 MB) with weight 3588469 (50.85/col)
Sun Jun 28 23:52:15 2009  sparse part has weight 2713229 (38.45/col)
Sun Jun 28 23:52:15 2009  matrix includes 64 packed rows
Sun Jun 28 23:52:15 2009  using block size 28228 for processor cache size 1024 kB
Sun Jun 28 23:52:16 2009  commencing Lanczos iteration
Sun Jun 28 23:52:16 2009  memory use: 11.4 MB
Sun Jun 28 23:52:49 2009  lanczos halted after 1116 iterations (dim = 70458)
Sun Jun 28 23:52:49 2009  recovered 16 nontrivial dependencies
Sun Jun 28 23:52:50 2009  prp46 factor: 3332366710852869308417885511991106085178367213
Sun Jun 28 23:52:50 2009  prp48 factor: 559609530053519556611176759097123548994837054123
Sun Jun 28 23:52:50 2009  elapsed time 02:55:13

93367614895124271192721682764265688990546260157529228132197460921479794983326821827576953455389178168321310635080190055832916129<128>

16684801071616165742858411059235412368987<41>
5595968120588461964689090820225357668914533447115863619998466725214360596278094821062067<88>

Number: 64443_135
N=93367614895124271192721682764265688990546260157529228132197460921479794983326821827576953455389178168321310635080190055832916129
  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=16684801071616165742858411059235412368987
 r2=5595968120588461964689090820225357668914533447115863619998466725214360596278094821062067
Version: 
Total time: 2.32 hours.
Scaled time: 5.53 units (timescale=2.389).
Factorization parameters were as follows:
n: 93367614895124271192721682764265688990546260157529228132197460921479794983326821827576953455389178168321310635080190055832916129
m: 1000000000000000000000000000
deg: 5
c5: 58
c0: -13
skew: 0.74
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [700000, 1300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3643747
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195461 x 195709
Total sieving time: 2.04 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,26,26,48,48,2.3,2.3,50000
total time: 2.32 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673809)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672376)
Calibrating delay using timer specific routine.. 5430.28 BogoMIPS (lpj=2715140)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

121628708537097515549276754481585550988894550055186814114440641854985974122295683886102397195294323420136221674852351099324442047<129>

235727953664055447319411949797137297749012365291<48>
515970662989061743281594639447232372573905136516236978628437287176925324434133117<81>

Number: 64443_136
N=121628708537097515549276754481585550988894550055186814114440641854985974122295683886102397195294323420136221674852351099324442047
  ( 129 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=235727953664055447319411949797137297749012365291 (pp48)
 r2=515970662989061743281594639447232372573905136516236978628437287176925324434133117 (pp81)
Version: Msieve-1.40
Total time: 5.51 hours.
Scaled time: 14.12 units (timescale=2.564).
Factorization parameters were as follows:
name: 64443_136
n: 121628708537097515549276754481585550988894550055186814114440641854985974122295683886102397195294323420136221674852351099324442047
m: 2000000000000000000000000000
deg: 5
c5: 145
c0: -104
skew: 0.94
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1465001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 223069 x 223300
Total sieving time: 5.25 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,75000
total time: 5.51 hours.
 --------- CPU info (if available) ----------

1245410503249454513950936539400601771642350901839495372749797874484849665147960918528578908546230931574351<106>

32502218758975974264690934359203256203943891833157149<53>
38317707245925041958237144145989843140569750883793499<53>

Number: 64443_139
N=1245410503249454513950936539400601771642350901839495372749797874484849665147960918528578908546230931574351
  ( 106 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=32502218758975974264690934359203256203943891833157149 (pp53)
 r2=38317707245925041958237144145989843140569750883793499 (pp53)
Version: Msieve-1.40
Total time: 7.24 hours.
Scaled time: 15.19 units (timescale=2.099).
Factorization parameters were as follows:
name: 64443_139
n: 1245410503249454513950936539400601771642350901839495372749797874484849665147960918528578908546230931574351
m: 10000000000000000000000000000
deg: 5
c5: 29
c0: -65
skew: 1.18
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237619 x 237853
Total sieving time: 6.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 7.24 hours.
 --------- CPU info (if available) ----------

23961867823784803270363644142919104697268175976802844612443766450514663144690119209978152337439035228232379<107>

44671237448007050301716904523<29>
536404836594779201210885696729897207146989810269196135430698329060421809691473<78>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=288397723
Step 1 took 6948ms
Step 2 took 264ms
********** Factor found in step 2: 44671237448007050301716904523
Found probable prime factor of 29 digits: 44671237448007050301716904523
Probable prime cofactor has 78 digits

332033380799846526477379417918328852033073705607452776566870643319489211252896617924602015943659826695384126147432305894890078475301259<135>

1652337627292589379706191532069268484497360291057948743864303033<64>
200947660644812862508216274233245205166132877847788787856034118266055523<72>

Number: 64443_143
N=332033380799846526477379417918328852033073705607452776566870643319489211252896617924602015943659826695384126147432305894890078475301259
  ( 135 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1652337627292589379706191532069268484497360291057948743864303033 (pp64)
 r2=200947660644812862508216274233245205166132877847788787856034118266055523 (pp72)
Version: Msieve-1.40
Total time: 10.20 hours.
Scaled time: 26.14 units (timescale=2.564).
Factorization parameters were as follows:
name: 64443_143
n: 332033380799846526477379417918328852033073705607452776566870643319489211252896617924602015943659826695384126147432305894890078475301259
m: 50000000000000000000000000000
deg: 5
c5: 464
c0: -325
skew: 0.93
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2255001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 341670 x 341918
Total sieving time: 9.82 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 10.20 hours.
 --------- CPU info (if available) ----------

6640382202081256067219902095578684693701494440912448049027086691449031002227161292708390935786702680436071609423709851018445722374550300151<139>

2093179992515501466190084387420835861<37>
3172389486725938777025473977276200607103207453371670538718534881764544597885610351738781046647527068891<103>

Number: 64443_144
N=6640382202081256067219902095578684693701494440912448049027086691449031002227161292708390935786702680436071609423709851018445722374550300151
  ( 139 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=2093179992515501466190084387420835861 (pp37)
 r2=3172389486725938777025473977276200607103207453371670538718534881764544597885610351738781046647527068891 (pp103)
Version: Msieve-1.40
Total time: 10.37 hours.
Scaled time: 26.59 units (timescale=2.564).
Factorization parameters were as follows:
name: 64443_144
n: 6640382202081256067219902095578684693701494440912448049027086691449031002227161292708390935786702680436071609423709851018445722374550300151
m: 100000000000000000000000000000
deg: 5
c5: 29
c0: -65
skew: 1.18
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 342546 x 342794
Total sieving time: 9.86 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 10.37 hours.
 --------- CPU info (if available) ----------

224299458813981879732712982352694968415152384821436552669343237460916892743989333004630031522311583<99>

81209611999697626708180466005454678658771007<44>
2761981658215742112136342325393296828876923189500830369<55>

Number: n
N=224299458813981879732712982352694968415152384821436552669343237460916892743989333004630031522311583
  ( 99 digits)
Divisors found:
 r1=81209611999697626708180466005454678658771007 (pp44)
 r2=2761981658215742112136342325393296828876923189500830369 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.02 hours.
Scaled time: 7.33 units (timescale=1.823).
Factorization parameters were as follows:
n: 224299458813981879732712982352694968415152384821436552669343237460916892743989333004630031522311583
Y0: -14418171140978802868
Y1:  6052927273
c0:  10863423250545833835634935
c1: -878321344639862200188
c2: -38824411212279790
c3:  973149801761
c4: -49670352
c5:  360
skew: 22477.80
type: gnfs
name: KA_6_4_144_3
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [900000, 1300001)
Primes: RFBsize:135072, AFBsize:134465, largePrimes:10029840 encountered
Relations: rels:8639337, finalFF:328863
Max relations in full relation-set: 48
Initial matrix: 269621 x 328863 with sparse part having weight 31872885.
Pruned matrix : 227953 x 229365 with weight 16672392.
Total sieving time: 3.22 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.37 hours.
Total square root time: 0.17 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,28,28,56,56,2.5,2.5,100000
total time: 4.02 hours.
 --------- CPU info (if available) ----------

285786416035128196683289121621064667771773532733338769241158392752477998247710329546637739266886534072113858155409777<117>

1724643839436206727262081314038604977199883913024927<52>
165707498267325136214000770286795308021181237711990781533096525551<66>

Number: 64443_147
N=285786416035128196683289121621064667771773532733338769241158392752477998247710329546637739266886534072113858155409777
  ( 117 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=1724643839436206727262081314038604977199883913024927 (pp52)
 r2=165707498267325136214000770286795308021181237711990781533096525551 (pp66)
Version: Msieve-1.40
Total time: 14.66 hours.
Scaled time: 30.67 units (timescale=2.092).
Factorization parameters were as follows:
name: 64443_147
n: 285786416035128196683289121621064667771773532733338769241158392752477998247710329546637739266886534072113858155409777
m: 200000000000000000000000000000
deg: 5
c5: 725
c0: -52
skew: 0.59
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 397682 x 397930
Total sieving time: 13.68 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.36 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: 14.66 hours.
 --------- CPU info (if available) ----------

59497899852962528961232804765393480978112046870788785804578711096597251999116268207960584747284901586476215186462493691<119>

5449278379117159731544956271485792375419509366641329<52>
10918491534763876929867522805580453713263965653671863520590735670379<68>

Number: 64443_149
N=59497899852962528961232804765393480978112046870788785804578711096597251999116268207960584747284901586476215186462493691
  ( 119 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=5449278379117159731544956271485792375419509366641329 (pp52)
 r2=10918491534763876929867522805580453713263965653671863520590735670379 (pp68)
Version: Msieve-1.40
Total time: 16.99 hours.
Scaled time: 43.57 units (timescale=2.564).
Factorization parameters were as follows:
name: 64443_149
n: 59497899852962528961232804765393480978112046870788785804578711096597251999116268207960584747284901586476215186462493691
m: 1000000000000000000000000000000
deg: 5
c5: 29
c0: -65
skew: 1.18
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor 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, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 379906 x 380154
Total sieving time: 16.47 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.11 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: 16.99 hours.
 --------- CPU info (if available) ----------

300326796935221625549218965554770312569448047205972737519017144584451471424398836083300298758057119443<102>

9080338989895340087399783131537142371<37>
33074403639492669396853934308598204613343777969269022112121857233<65>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1156783142
Step 1 took 6716ms
Step 2 took 7148ms
********** Factor found in step 2: 9080338989895340087399783131537142371
Found probable prime factor of 37 digits: 9080338989895340087399783131537142371
Probable prime cofactor has 65 digits

66931292249829872128624608222523236915728815801368545533573457452197862608296180593202279781083382355032119204493664644479507978236849086193599061<146>

2974192430852304989290612183<28>

22504022118921734259662990204779762049959337208129694385777166920187136905382202309246021844159118798649720943027231667<119>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=697347838
Step 1 took 9721ms
Step 2 took 9808ms
********** Factor found in step 2: 2974192430852304989290612183
Found probable prime factor of 28 digits: 2974192430852304989290612183
Composite cofactor has 119 digits

22504022118921734259662990204779762049959337208129694385777166920187136905382202309246021844159118798649720943027231667<119>

23571159999526622109100196347300471721<38>
954726968014034137402089586947817032218884506562192209056620458034761171420831227<81>

Number: 64443_155
N=22504022118921734259662990204779762049959337208129694385777166920187136905382202309246021844159118798649720943027231667
  ( 119 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=23571159999526622109100196347300471721 (pp38)
 r2=954726968014034137402089586947817032218884506562192209056620458034761171420831227 (pp81)
Version: Msieve-1.40
Total time: 25.30 hours.
Scaled time: 51.56 units (timescale=2.038).
Factorization parameters were as follows:
name: 64443_155
n: 22504022118921734259662990204779762049959337208129694385777166920187136905382202309246021844159118798649720943027231667
m: 10000000000000000000000000000000
deg: 5
c5: 58
c0: -13
skew: 0.74
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 527291 x 527539
Total sieving time: 24.05 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 25.30 hours.
 --------- CPU info (if available) ----------

986415677006427804635947990417506924988037544295951487502593886272837369809392052611588638503606484328606433676386764357014430239213162142871046192593<150>

1575237244329951942400489897260475329452903303322367<52>
626201342405418301153045845166292234087621760837772895460574802045257424597728085044658561255896879<99>

Number: 64443_161
N=986415677006427804635947990417506924988037544295951487502593886272837369809392052611588638503606484328606433676386764357014430239213162142871046192593
  ( 150 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=1575237244329951942400489897260475329452903303322367
 r2=626201342405418301153045845166292234087621760837772895460574802045257424597728085044658561255896879
Version: 
Total time: 20.20 hours.
Scaled time: 48.26 units (timescale=2.389).
Factorization parameters were as follows:
n: 986415677006427804635947990417506924988037544295951487502593886272837369809392052611588638503606484328606433676386764357014430239213162142871046192593
m: 100000000000000000000000000000000
deg: 5
c5: 580
c0: -13
skew: 0.47
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9541464
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 736941 x 737189
Total sieving time: 18.04 hours.
Total relation processing time: 0.78 hours.
Matrix solve time: 1.11 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 20.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

4076596750375945652022220384779745370572439383193580743868681381671398185956334119178766833053528297<100>

3978007396055070106886225840980948818901<40>
1024783602569126724040280540933691019026235418901075033484997<61>

Number: 64443_162
N=4076596750375945652022220384779745370572439383193580743868681381671398185956334119178766833053528297
  ( 100 digits)
Divisors found:
 r1=3978007396055070106886225840980948818901 (pp40)
 r2=1024783602569126724040280540933691019026235418901075033484997 (pp61)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 7.99 hours.
Scaled time: 3.78 units (timescale=0.473).
Factorization parameters were as follows:
name: 64443_162
n: 4076596750375945652022220384779745370572439383193580743868681381671398185956334119178766833053528297
skew: 2809.15
# norm 1.60e+14
c5: 875880
c4: 4607514726
c3: -15446799894661
c2: 2133887816628030
c1: 514909499414304834
c0: -27061090266943223903321
# alpha -6.39
Y1: 32280451331
Y0: -5414619025710030114
# Murphy_E 3.38e-09
# M 3423235280954909331517329139689087262865239008060333048147151500659748101870819046725204686439576175
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: RFBsize:135072, AFBsize:134813, largePrimes:3983622 encountered
Relations: rels:4123288, finalFF:497538
Max relations in full relation-set: 28
Initial matrix: 269969 x 497538 with sparse part having weight 35933016.
Pruned matrix : 142475 x 143888 with weight 12612276.
Total sieving time: 7.22 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 7.99 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

436910093868458656181692890758665810048223451661281827184511045317685332128359134867190394080416164666242215892704309860218883494745227686223<141>

15200010854050980264951294490005750472092205391836031200627031<62>
28744064597297114282228101355955883403740289127783595364008637430740971151148233<80>

Number: 64443_163
N=436910093868458656181692890758665810048223451661281827184511045317685332128359134867190394080416164666242215892704309860218883494745227686223
  ( 141 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=15200010854050980264951294490005750472092205391836031200627031 (pp62)
 r2=28744064597297114282228101355955883403740289127783595364008637430740971151148233 (pp80)
Version: Msieve-1.40
Total time: 50.73 hours.
Scaled time: 130.08 units (timescale=2.564).
Factorization parameters were as follows:
name: 64443_163
n: 436910093868458656181692890758665810048223451661281827184511045317685332128359134867190394080416164666242215892704309860218883494745227686223
m: 500000000000000000000000000000000
deg: 5
c5: 464
c0: -325
skew: 0.93
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 751768 x 752016
Total sieving time: 49.14 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 50.73 hours.
 --------- CPU info (if available) ----------

1015792160118885623397734712757144753411229457611468107012680632703613224044480535160407528356574564445303951383363964100960968052402278388173301246055239<154>

34223943495856159696154680142313760883<38>

29680745593852382710885424670845104038289735607516074357223266600260200692718744499668077307158865998260008404416733<116>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1920900515
Step 1 took 9293ms
Step 2 took 9241ms
********** Factor found in step 2: 34223943495856159696154680142313760883
Found probable prime factor of 38 digits: 34223943495856159696154680142313760883
Composite cofactor has 116 digits

29680745593852382710885424670845104038289735607516074357223266600260200692718744499668077307158865998260008404416733<116>

1039702390453237753079616431433676773883<40>
28547347651007753290977819563148421178571364515389527937841544853464340338951<77>

Number: 64443_164
N=29680745593852382710885424670845104038289735607516074357223266600260200692718744499668077307158865998260008404416733
  ( 116 digits)
Divisors found:
 r1=1039702390453237753079616431433676773883 (pp40)
 r2=28547347651007753290977819563148421178571364515389527937841544853464340338951 (pp77)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 68.52 hours.
Scaled time: 32.48 units (timescale=0.474).
Factorization parameters were as follows:
name: 64443_164
n: 29680745593852382710885424670845104038289735607516074357223266600260200692718744499668077307158865998260008404416733
skew: 37882.17
# norm 2.16e+15
c5: 28080
c4: -1783304174
c3: -106987684895637
c2: 3254798532959727963
c1: 69333921661141863276279
c0: 311328355938046670337322130
# alpha -5.10
Y1: 1694242071773
Y0: -16025667352605280542669
# Murphy_E 5.09e-10
# M 725564486423152580698825252463775544412007927936381050353624717871811877831131875924797212721560785860023394686973
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3630001)
Primes: RFBsize:315948, AFBsize:315817, largePrimes:7563902 encountered
Relations: rels:7629959, finalFF:773927
Max relations in full relation-set: 28
Initial matrix: 631846 x 773927 with sparse part having weight 60032329.
Pruned matrix : 507204 x 510427 with weight 34236305.
Total sieving time: 56.96 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 10.35 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 68.52 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

487582150151828988887935838947413159102120276370011059772686351525349446706821770750880139421274119024934386453619<114>

284996068419181591076316632267<30>

1710838162983627990454857587732199143565178607498223962752146552456866980922081483257<85>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=578427496
Step 1 took 2408ms
********** Factor found in step 1: 284996068419181591076316632267
Found probable prime factor of 30 digits: 284996068419181591076316632267
Composite cofactor 1710838162983627990454857587732199143565178607498223962752146552456866980922081483257 has 85 digits

GMP-ECM 6.2.3

1710838162983627990454857587732199143565178607498223962752146552456866980922081483257<85>

173896095349135933269424744970466539597<39>
9838278194508804532101741831512619052600114781<46>

Number: 0011
N=1710838162983627990454857587732199143565178607498223962752146552456866980922081483257
  ( 85 digits)
Divisors found:
 r1=173896095349135933269424744970466539597 (pp39)
 r2=9838278194508804532101741831512619052600114781 (pp46)
Version: Msieve v. 1.41
Total time: 1.39 hours.
Scaled time: 2.76 units (timescale=1.976).
Factorization parameters were as follows:
name: 0011
n:  1710838162983627990454857587732199143565178607498223962752146552456866980922081483257
m:  25598906778006399254
deg: 4
c4: 3984036
c3: -6341237708
c2: -5106462467755171
c1: 19869950659843206
c0: 4617545228137607483265
skew: 1379.250
type: gnfs
# adj. I(F,S) = 47.861
# E(F1,F2) = 1.101643e-003
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=12, maxS1=56.00000000, seed=1246215921.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 605001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46853 x 47079
Polynomial selection time: 0.14 hours.
Total sieving time: 1.23 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:
gnfs,84,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 1.39 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.41

339865552429068321970877680355397427709972520150182950223233553657884687447900712560490043251329534766131338706168982613469177225889843562673<141>

408116836703356135186758597068735340933347535194023264090041406897<66>
832765330571507511987519992376332246212140238340768446412802228965601239809<75>

Number: 64443_169
N=339865552429068321970877680355397427709972520150182950223233553657884687447900712560490043251329534766131338706168982613469177225889843562673
  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=408116836703356135186758597068735340933347535194023264090041406897 (pp66)
 r2=832765330571507511987519992376332246212140238340768446412802228965601239809 (pp75)
Version: Msieve-1.40
Total time: 83.78 hours.
Scaled time: 172.42 units (timescale=2.058).
Factorization parameters were as follows:
name: 64443_169
n: 339865552429068321970877680355397427709972520150182950223233553657884687447900712560490043251329534766131338706168982613469177225889843562673
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -65
skew: 1.18
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 976748 x 976996
Total sieving time: 79.62 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.71 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 83.78 hours.
 --------- CPU info (if available) ----------

7488704114681698263211093624793715429841463355073981832582681151912872857638281873870764124988601995996443039<109>

1680685663562710108755241113940108250558188502759<49>
4455743436763288668170528477507378349835514471314046357878921<61>

Mon Jun 29 21:25:16 2009  Msieve v. 1.42
Mon Jun 29 21:25:16 2009  random seeds: bbef2658 2c483f2b
Mon Jun 29 21:25:16 2009  factoring 7488704114681698263211093624793715429841463355073981832582681151912872857638281873870764124988601995996443039 (109 digits)
Mon Jun 29 21:25:17 2009  searching for 15-digit factors
Mon Jun 29 21:25:18 2009  commencing number field sieve (109-digit input)
Mon Jun 29 21:25:18 2009  R0: -1200755848565647964360
Mon Jun 29 21:25:18 2009  R1:  277561682419
Mon Jun 29 21:25:18 2009  A0:  765270029707707158906661
Mon Jun 29 21:25:18 2009  A1:  4592249298769793133290
Mon Jun 29 21:25:18 2009  A2: -476743582276620277
Mon Jun 29 21:25:18 2009  A3: -11323319301534
Mon Jun 29 21:25:18 2009  A4:  354533780
Mon Jun 29 21:25:18 2009  A5:  3000
Mon Jun 29 21:25:18 2009  skew 32429.05, size 2.389419e-010, alpha -5.307571, combined = 1.238732e-009
Mon Jun 29 21:25:19 2009  
Mon Jun 29 21:25:19 2009  commencing relation filtering
Mon Jun 29 21:25:19 2009  commencing duplicate removal, pass 1
Mon Jun 29 21:26:31 2009  found 490481 hash collisions in 5342536 relations
Mon Jun 29 21:26:45 2009  added 36477 free relations
Mon Jun 29 21:26:45 2009  commencing duplicate removal, pass 2
Mon Jun 29 21:26:54 2009  found 476302 duplicates and 4902710 unique relations
Mon Jun 29 21:26:54 2009  memory use: 41.3 MB
Mon Jun 29 21:26:54 2009  reading rational ideals above 3080192
Mon Jun 29 21:26:54 2009  reading algebraic ideals above 3080192
Mon Jun 29 21:26:54 2009  commencing singleton removal, pass 1
Mon Jun 29 21:27:49 2009  relations with 0 large ideals: 119050
Mon Jun 29 21:27:49 2009  relations with 1 large ideals: 753244
Mon Jun 29 21:27:49 2009  relations with 2 large ideals: 1732248
Mon Jun 29 21:27:49 2009  relations with 3 large ideals: 1672371
Mon Jun 29 21:27:49 2009  relations with 4 large ideals: 570809
Mon Jun 29 21:27:49 2009  relations with 5 large ideals: 20278
Mon Jun 29 21:27:49 2009  relations with 6 large ideals: 34710
Mon Jun 29 21:27:49 2009  relations with 7+ large ideals: 0
Mon Jun 29 21:27:49 2009  4902710 relations and about 4779680 large ideals
Mon Jun 29 21:27:49 2009  commencing singleton removal, pass 2
Mon Jun 29 21:28:47 2009  found 2126072 singletons
Mon Jun 29 21:28:47 2009  current dataset: 2776638 relations and about 2200364 large ideals
Mon Jun 29 21:28:47 2009  commencing singleton removal, pass 3
Mon Jun 29 21:29:34 2009  found 500480 singletons
Mon Jun 29 21:29:34 2009  current dataset: 2276158 relations and about 1665007 large ideals
Mon Jun 29 21:29:34 2009  commencing singleton removal, pass 4
Mon Jun 29 21:30:18 2009  found 148691 singletons
Mon Jun 29 21:30:18 2009  current dataset: 2127467 relations and about 1512452 large ideals
Mon Jun 29 21:30:18 2009  commencing singleton removal, final pass
Mon Jun 29 21:31:04 2009  memory use: 33.3 MB
Mon Jun 29 21:31:04 2009  commencing in-memory singleton removal
Mon Jun 29 21:31:04 2009  begin with 2127467 relations and 1560650 unique ideals
Mon Jun 29 21:31:06 2009  reduce to 1935741 relations and 1366206 ideals in 15 passes
Mon Jun 29 21:31:06 2009  max relations containing the same ideal: 46
Mon Jun 29 21:31:07 2009  reading rational ideals above 720000
Mon Jun 29 21:31:07 2009  reading algebraic ideals above 720000
Mon Jun 29 21:31:07 2009  commencing singleton removal, final pass
Mon Jun 29 21:31:52 2009  keeping 1670936 ideals with weight <= 20, new excess is 200601
Mon Jun 29 21:31:54 2009  memory use: 47.7 MB
Mon Jun 29 21:31:54 2009  commencing in-memory singleton removal
Mon Jun 29 21:31:54 2009  begin with 1946275 relations and 1670936 unique ideals
Mon Jun 29 21:31:56 2009  reduce to 1927241 relations and 1600494 ideals in 10 passes
Mon Jun 29 21:31:56 2009  max relations containing the same ideal: 20
Mon Jun 29 21:31:58 2009  removing 322019 relations and 274994 ideals in 47025 cliques
Mon Jun 29 21:31:58 2009  commencing in-memory singleton removal
Mon Jun 29 21:31:58 2009  begin with 1605222 relations and 1600494 unique ideals
Mon Jun 29 21:31:59 2009  reduce to 1571407 relations and 1290716 ideals in 7 passes
Mon Jun 29 21:31:59 2009  max relations containing the same ideal: 20
Mon Jun 29 21:32:00 2009  removing 241602 relations and 194577 ideals in 47025 cliques
Mon Jun 29 21:32:00 2009  commencing in-memory singleton removal
Mon Jun 29 21:32:00 2009  begin with 1329805 relations and 1290716 unique ideals
Mon Jun 29 21:32:01 2009  reduce to 1304264 relations and 1069911 ideals in 8 passes
Mon Jun 29 21:32:01 2009  max relations containing the same ideal: 20
Mon Jun 29 21:32:02 2009  relations with 0 large ideals: 17810
Mon Jun 29 21:32:02 2009  relations with 1 large ideals: 117111
Mon Jun 29 21:32:02 2009  relations with 2 large ideals: 310411
Mon Jun 29 21:32:02 2009  relations with 3 large ideals: 412635
Mon Jun 29 21:32:02 2009  relations with 4 large ideals: 296443
Mon Jun 29 21:32:02 2009  relations with 5 large ideals: 118042
Mon Jun 29 21:32:02 2009  relations with 6 large ideals: 27975
Mon Jun 29 21:32:02 2009  relations with 7+ large ideals: 3837
Mon Jun 29 21:32:02 2009  commencing 2-way merge
Mon Jun 29 21:32:03 2009  reduce to 804300 relation sets and 569947 unique ideals
Mon Jun 29 21:32:03 2009  commencing full merge
Mon Jun 29 21:32:12 2009  memory use: 43.1 MB
Mon Jun 29 21:32:12 2009  found 376706 cycles, need 346147
Mon Jun 29 21:32:12 2009  weight of 346147 cycles is about 24613171 (71.11/cycle)
Mon Jun 29 21:32:12 2009  distribution of cycle lengths:
Mon Jun 29 21:32:12 2009  1 relations: 36446
Mon Jun 29 21:32:12 2009  2 relations: 33802
Mon Jun 29 21:32:13 2009  3 relations: 34003
Mon Jun 29 21:32:13 2009  4 relations: 31923
Mon Jun 29 21:32:13 2009  5 relations: 30349
Mon Jun 29 21:32:13 2009  6 relations: 27713
Mon Jun 29 21:32:13 2009  7 relations: 25349
Mon Jun 29 21:32:13 2009  8 relations: 23008
Mon Jun 29 21:32:13 2009  9 relations: 20155
Mon Jun 29 21:32:13 2009  10+ relations: 83399
Mon Jun 29 21:32:13 2009  heaviest cycle: 18 relations
Mon Jun 29 21:32:13 2009  commencing cycle optimization
Mon Jun 29 21:32:13 2009  start with 2229788 relations
Mon Jun 29 21:32:20 2009  pruned 77903 relations
Mon Jun 29 21:32:20 2009  memory use: 56.0 MB
Mon Jun 29 21:32:20 2009  distribution of cycle lengths:
Mon Jun 29 21:32:20 2009  1 relations: 36446
Mon Jun 29 21:32:20 2009  2 relations: 34796
Mon Jun 29 21:32:20 2009  3 relations: 35589
Mon Jun 29 21:32:20 2009  4 relations: 33220
Mon Jun 29 21:32:20 2009  5 relations: 31692
Mon Jun 29 21:32:20 2009  6 relations: 28752
Mon Jun 29 21:32:20 2009  7 relations: 26007
Mon Jun 29 21:32:20 2009  8 relations: 23590
Mon Jun 29 21:32:20 2009  9 relations: 20541
Mon Jun 29 21:32:20 2009  10+ relations: 75514
Mon Jun 29 21:32:20 2009  heaviest cycle: 18 relations
Mon Jun 29 21:32:21 2009  RelProcTime: 298
Mon Jun 29 21:32:21 2009  
Mon Jun 29 21:32:21 2009  commencing linear algebra
Mon Jun 29 21:32:21 2009  read 346147 cycles
Mon Jun 29 21:32:21 2009  cycles contain 1137287 unique relations
Mon Jun 29 21:32:57 2009  read 1137287 relations
Mon Jun 29 21:32:58 2009  using 20 quadratic characters above 118112012
Mon Jun 29 21:33:06 2009  building initial matrix
Mon Jun 29 21:33:22 2009  memory use: 126.8 MB
Mon Jun 29 21:33:22 2009  read 346147 cycles
Mon Jun 29 21:33:23 2009  matrix is 345913 x 346147 (97.7 MB) with weight 32532069 (93.98/col)
Mon Jun 29 21:33:23 2009  sparse part has weight 23181247 (66.97/col)
Mon Jun 29 21:33:28 2009  filtering completed in 3 passes
Mon Jun 29 21:33:28 2009  matrix is 344348 x 344548 (97.4 MB) with weight 32420368 (94.10/col)
Mon Jun 29 21:33:28 2009  sparse part has weight 23116687 (67.09/col)
Mon Jun 29 21:33:29 2009  read 344548 cycles
Mon Jun 29 21:33:30 2009  matrix is 344348 x 344548 (97.4 MB) with weight 32420368 (94.10/col)
Mon Jun 29 21:33:30 2009  sparse part has weight 23116687 (67.09/col)
Mon Jun 29 21:33:30 2009  saving the first 48 matrix rows for later
Mon Jun 29 21:33:30 2009  matrix is 344300 x 344548 (93.4 MB) with weight 25498522 (74.01/col)
Mon Jun 29 21:33:30 2009  sparse part has weight 22429237 (65.10/col)
Mon Jun 29 21:33:30 2009  matrix includes 64 packed rows
Mon Jun 29 21:33:30 2009  using block size 65536 for processor cache size 3072 kB
Mon Jun 29 21:33:33 2009  commencing Lanczos iteration
Mon Jun 29 21:33:33 2009  memory use: 91.0 MB
Mon Jun 29 21:50:21 2009  lanczos halted after 5445 iterations (dim = 344300)
Mon Jun 29 21:50:21 2009  recovered 30 nontrivial dependencies
Mon Jun 29 21:50:22 2009  BLanczosTime: 1081
Mon Jun 29 21:50:22 2009  
Mon Jun 29 21:50:22 2009  commencing square root phase
Mon Jun 29 21:50:22 2009  reading relations for dependency 1
Mon Jun 29 21:50:22 2009  read 172326 cycles
Mon Jun 29 21:50:22 2009  cycles contain 703698 unique relations
Mon Jun 29 21:50:56 2009  read 703698 relations
Mon Jun 29 21:50:59 2009  multiplying 567642 relations
Mon Jun 29 21:52:27 2009  multiply complete, coefficients have about 22.77 million bits
Mon Jun 29 21:52:28 2009  initial square root is modulo 3467819
Mon Jun 29 21:54:35 2009  sqrtTime: 253
Mon Jun 29 21:54:35 2009  prp49 factor: 1680685663562710108755241113940108250558188502759
Mon Jun 29 21:54:35 2009  prp61 factor: 4455743436763288668170528477507378349835514471314046357878921
Mon Jun 29 21:54:35 2009  elapsed time 00:29:19
total time ~ 11 hours

Msieve v. 1.42 / GGNFS

Intel Core 2 Duo @2.1GHz / Windows Vista 32bit

5517295027926656634674716586714757380396816314555033776062765476467461414413715011756752586821856250807078915510247132189556515737270912128776042778542415483<157>

6908239763065591955895879222911977<34>
798654247269250625821363125778243854007703628918987098880286209849549880972564009269875503432979327263787634758461031670979<123>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=526144718
Step 1 took 11613ms
Step 2 took 10593ms
********** Factor found in step 2: 6908239763065591955895879222911977
Found probable prime factor of 34 digits: 6908239763065591955895879222911977
Probable prime cofactor has 123 digits

177218549367786574845458550093771528807287691184822416777634505747090613769251854477538175243540299849507841172213928088562586762611567097494126656447267352606339455837<168>

5201072681589129941159853013<28>
4151220228381396271312783062791689<34>

8208059208418425479971505016759308076623141385702515597077892607382839099391926518651326516913860567839841<106>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=619016146
Step 1 took 3924ms
Step 2 took 3676ms
********** Factor found in step 2: 4151220228381396271312783062791689
Found probable prime factor of 34 digits: 4151220228381396271312783062791689
Composite cofactor 

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4219703845
Step 1 took 3853ms
Step 2 took 3548ms
********** Factor found in step 2: 5201072681589129941159853013
Found probable prime factor of 28 digits: 5201072681589129941159853013

8208059208418425479971505016759308076623141385702515597077892607382839099391926518651326516913860567839841<106>

1396023775624625497867728202917489963023485704132739<52>
5879598436456340709052499408488450640807341588815430219<55>

Number: n
N=8208059208418425479971505016759308076623141385702515597077892607382839099391926518651326516913860567839841
  ( 106 digits)
Divisors found:
 r1=1396023775624625497867728202917489963023485704132739 (pp52)
 r2=5879598436456340709052499408488450640807341588815430219 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.56 hours.
Scaled time: 19.30 units (timescale=1.828).
Factorization parameters were as follows:
n: 8208059208418425479971505016759308076623141385702515597077892607382839099391926518651326516913860567839841
Y0: -276269346952664402351
Y1:  110610173291
c0: -6891659187372173361465408
c1:  3623074157077012349180
c2:  239938455699630508
c3: -9824425366345
c4:  199423356
c5:  5100
skew: 20163.40
type: gnfs
name: KA_6_4_172_3
rlim: 2600000
alim: 2600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1300000, 2100001)
Primes: RFBsize:189880, AFBsize:189430, largePrimes:15076400 encountered
Relations: rels:12925786, finalFF:425754
Max relations in full relation-set: 48
Initial matrix: 379391 x 425754 with sparse part having weight 46077687.
Pruned matrix : 346567 x 348527 with weight 31048515.
Total sieving time: 8.14 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 1.21 hours.
Total square root time: 0.84 hours, sqrts: 5.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,28,28,56,56,2.6,2.6,150000
total time: 10.56 hours.
 --------- CPU info (if available) ----------

496779698736609779060788833105467574407690561684357431860326747169768147072448183097174254485631356116268725060551482904848302595382209653649503597<147>

28060415355482968596031509529<29>
17703932477233971993285289597402034285856075678888714104981748648524578359619999237243122567152169494477870888624600693<119>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=380138816
Step 1 took 3284ms
Step 2 took 3172ms
********** Factor found in step 2: 28060415355482968596031509529
Found probable prime factor of 29 digits: 28060415355482968596031509529
Probable prime cofactor has 119 digits

6266830688668742712038162956088710129467627732034286107462559663984648410765755277292614329748495493969499707769889806341458261057702852989187697540200889676969609517<166>

239273448983171853813396722203236580121311331843678861647847<60>
26191082693464622898419459635510322330163013510335871963475205189188202363403104033247625671459352307825611<107>

Number: n
N=6266830688668742712038162956088710129467627732034286107462559663984648410765755277292614329748495493969499707769889806341458261057702852989187697540200889676969609517
  ( 166 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jan  5 23:43:32 2012  prp60 factor: 239273448983171853813396722203236580121311331843678861647847
Thu Jan  5 23:43:32 2012  prp107 factor: 26191082693464622898419459635510322330163013510335871963475205189188202363403104033247625671459352307825611
Thu Jan  5 23:43:32 2012  elapsed time 02:46:37 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_64443_176
n: 6266830688668742712038162956088710129467627732034286107462559663984648410765755277292614329748495493969499707769889806341458261057702852989187697540200889676969609517
m: 100000000000000000000000000000000000
deg: 5
c5: 580
c0: -13
skew: 0.47
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7996520 hash collisions in 78667781 relations
Msieve: matrix is 1175105 x 1175336 (323.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.66 BogoMIPS (lpj=2797831)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44761.43 BogoMIPS).

96753260835114093780600303938691795823929083196127200511124122756533764385791950462330452421583984332644383389800538148309403582873338304449148654712634474521363286808360149<173>

320496404483144759257844472217374390250391<42>
301885635787849997076654250208736448301418211103547828735709980133081356860492761093044763198026788449829497936680286375958621773939<132>

N=96753260835114093780600303938691795823929083196127200511124122756533764385791950462330452421583984332644383389800538148309403582873338304449148654712634474521363286808360149
  ( 173 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=320496404483144759257844472217374390250391 (pp42)
 r2=301885635787849997076654250208736448301418211103547828735709980133081356860492761093044763198026788449829497936680286375958621773939 (pp132)
Version: Msieve v. 1.41
Total time: 124.28 hours.
Scaled time: 246.33 units (timescale=1.982).
Factorization parameters were as follows:
n: 96753260835114093780600303938691795823929083196127200511124122756533764385791950462330452421583984332644383389800538148309403582873338304449148654712634474521363286808360149
m: 200000000000000000000000000000000000
deg: 5
c5: 725
c0: -52
skew: 0.59
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1433017 x 1433265
Total sieving time: 119.07 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.49 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 124.28 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.41

623086306361582696160530657672921152807081405067603767995876269711924815483071136179167501505701376759694792829403802077841911893498833254655652193162067<153>

104594976399047810195832847879245635955293<42>
5957134155128075716694740927272160962427848876986584347230459530241731603934864290143348986860823194464576305519<112>

Number: 64443_178
N = 623086306361582696160530657672921152807081405067603767995876269711924815483071136179167501505701376759694792829403802077841911893498833254655652193162067 (153 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=104594976399047810195832847879245635955293 (pp42)
r2=5957134155128075716694740927272160962427848876986584347230459530241731603934864290143348986860823194464576305519 (pp112)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 82.43 hours.
Factorization parameters were as follows:
n: 623086306361582696160530657672921152807081405067603767995876269711924815483071136179167501505701376759694792829403802077841911893498833254655652193162067
m: 100000000000000000000000000000000000
deg: 5
c5: 58000
c0: -13
skew: 0.19
# Murphy_E = 8.206e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18933803
Relations: 2641072 relations
Pruned matrix : 1553697 x 1553922
Polynomial selection time: 0.00 hours.
Total sieving time: 78.77 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.31 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,200000
total time: 82.43 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

MSieve 1.52

2849341508994574902699112241784282680662760375207194600906408284909399367326957061796441790474138753377165625937744150487540335794317040487314430354020803442720827131337<169>

1339431489785725395693410006040131945840861<43>
440843042855003591924603410805351636953641057858949329823480483<63>
4825474318466267739188902366907643333801938127475013867903254399<64>

Number: n
N=2849341508994574902699112241784282680662760375207194600906408284909399367326957061796441790474138753377165625937744150487540335794317040487314430354020803442720827131337
  ( 169 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Feb 27 04:05:05 2012  prp43 factor: 1339431489785725395693410006040131945840861
Mon Feb 27 04:05:05 2012  prp63 factor: 440843042855003591924603410805351636953641057858949329823480483
Mon Feb 27 04:05:05 2012  prp64 factor: 4825474318466267739188902366907643333801938127475013867903254399
Mon Feb 27 04:05:05 2012  elapsed time 02:28:18 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_64443_181
n: 2849341508994574902699112241784282680662760375207194600906408284909399367326957061796441790474138753377165625937744150487540335794317040487314430354020803442720827131337
m: 1000000000000000000000000000000000000
#  c169, diff: 182.76
skew: 0.47
deg: 5
c5: 580
c0: -13
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5955997 hash collisions in 75103592 relations (71809387 unique)
Msieve: matrix is 1058641 x 1058889 (294.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

47336477618866801374487343641147642522853000659595228595802111327004081589372696378589817446113352994424671460729753598096832948952481717627909554392673542390809308307<167>

961420063382696913845039546496705687743<39>
49235999353202946808007492839763276913494801029546625572470190315605759777492573030933345460372056027724551909999157757321602349<128>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1633217857
Step 1 took 10608ms
Step 2 took 10413ms
********** Factor found in step 2: 961420063382696913845039546496705687743
Found probable prime factor of 39 digits: 961420063382696913845039546496705687743
Probable prime cofactor has 128 digits

18214985184992353835271898279585123374501661072982675528889762514452702675394715114840210107925769400225498317017765356773983860303414014855692129<146>

1094235283406135593647002086698405718202336945961369626506916733622185097<73>
16646314975598984428490617116639673285172969839764343095852538047782712857<74>

Number: 64443_184
N=18214985184992353835271898279585123374501661072982675528889762514452702675394715114840210107925769400225498317017765356773983860303414014855692129
  ( 146 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=1094235283406135593647002086698405718202336945961369626506916733622185097
 r2=16646314975598984428490617116639673285172969839764343095852538047782712857
Version: 
Total time: 82.33 hours.
Scaled time: 432.87 units (timescale=5.258).
Factorization parameters were as follows:
n: 18214985184992353835271898279585123374501661072982675528889762514452702675394715114840210107925769400225498317017765356773983860303414014855692129
m: 10000000000000000000000000000000000000
deg: 5
c5: 29
c0: -65
skew: 1.18
# Murphy_E = 5.251e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20424964
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1739145 x 1739393
Total sieving time: 76.18 hours.
Total relation processing time: 1.97 hours.
Matrix solve time: 3.96 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 82.33 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

58322370525290610334295564548182682952179451322268346088862312586688342268707584788041139455253662432522936578011524757104358622031074993502164765001011559490758253<164>

2117020665550448148414589629733272094530736337150658251<55>
27549268400800502602981612929693277895683100228988599899679648486688545758685075161648899852071471819206158503<110>

Number: 64443_187
N=58322370525290610334295564548182682952179451322268346088862312586688342268707584788041139455253662432522936578011524757104358622031074993502164765001011559490758253
  ( 164 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 2)
 r1=2117020665550448148414589629733272094530736337150658251 (pp55)
 r2=27549268400800502602981612929693277895683100228988599899679648486688545758685075161648899852071471819206158503 (pp110)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 334.70 hours (17.04 calendar hours).
Scaled time: 1511.16 units (timescale=4.515).
Factorization parameters were as follows:
n: 58322370525290610334295564548182682952179451322268346088862312586688342268707584788041139455253662432522936578011524757104358622031074993502164765001011559490758253
m: 10000000000000000000000000000000000000
deg: 5
c5: 5800
c0: -13
skew: 0.30
# Murphy_E = 3.767e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 28200000
qintsize: 5000

Polynomial score was as follows:
skew 0.30, size 2.631e-013, alpha 0.415, combined = 3.767e-011 rroots = 1
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4900000, 23385001)
Relations: raw-rels:28364090 rels:24353424, finalFF:1619174
Pruned matrix : 1618658 x 1618884
Total sieving time: 323.65 hours (15.22 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.04 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 10.78 hours (1.54 calendar hours).
Total time of square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 334.70 hours (17.04 calendar hours).
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)

[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

490415793458843427762187208615802338253149394608538053080254709532441466632086546922807987132090245558349738707110133604889986607577936589657<141>

340431121878086770899416799857829437270797<42>
823106012196877355093519578152793423725133<42>
1750166706341367138068463191103730869031969624144597052657<58>

Input number is 490415793458843427762187208615802338253149394608538053080254709532441466632086546922807987132090245558349738707110133604889986607577936589657 (141 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3832160870
Step 1 took 10246ms
Step 2 took 4972ms
********** Factor found in step 2: 340431121878086770899416799857829437270797
Found probable prime factor of 42 digits: 340431121878086770899416799857829437270797

Divisors found:
 r1=823106012196877355093519578152793423725133 (pp42)
 r2=1750166706341367138068463191103730869031969624144597052657 (pp58)
Version: Msieve v. 1.51 (SVN 719M)

2596064075554091570985953911592944889262190641982761347925457183929170190378389816265841199890672527777294829608154402149621057667057027<136>

8859562242390101042337256758079<31>
293023967158645378132168017909583983083045335220259236533576678613996132987368553614771402092617621838013<105>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=60059875
Step 1 took 9684ms
Step 2 took 9073ms
********** Factor found in step 2: 8859562242390101042337256758079
Found probable prime factor of 31 digits: 8859562242390101042337256758079
Probable prime cofactor has 105 digits

5585591688487452752822772335513694945813259971161204744209301960043308111802967696649691063450927810643704528549851772322955664054050124945745044626526485647817<160>

22572887572273139307528963717403736774063232781427<50>
247446928116913994534768384355244085928270208853320096882841234400176093052684115562592879248324620382123439571<111>

5585591688487452752822772335513694945813259971161204744209301960043308111802967696649691063450927810643704528549851772322955664054050124945745044626526485647817=22572887572273139307528963717403736774063232781427*247446928116913994534768384355244085928270208853320096882841234400176093052684115562592879248324620382123439571

cado polynomial
n: 5585591688487452752822772335513694945813259971161204744209301960043308111802967696649691063450927810643704528549851772322955664054050124945745044626526485647817
skew: 0.53
type: snfs
c0: -13
c6: 580
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 580*x^6-13
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12300000
tasks.lim1 = 12300000
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: 247446928116913994534768384355244085928270208853320096882841234400176093052684115562592879248324620382123439571 22572887572273139307528963717403736774063232781427
Info:Square Root: Total cpu/real time for sqrt: 633.52/192.457
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25218134
Info:Lattice Sieving: Average J: 1894.96 for 1869028 special-q, max bucket fill -bkmult 1.0,1s:1.176910
Info:Lattice Sieving: Total time: 394371s
Info:Square Root: Total cpu/real time for sqrt: 633.52/192.457
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.24/125.457
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.59999999999998s
Info:Filtering - Merging: Merged matrix has 2017117 rows and total weight 343902666 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 550.37/152.892
Info:Filtering - Merging: Total cpu/real time for replay: 79.8/67.6884
Info:Linear Algebra: Total cpu/real time for bwc: 67976.4/17443.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43612.51, WCT time 11135.52, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63232 iterations)
Info:Linear Algebra: Lingen CPU time 401.09, WCT time 101.94
Info:Linear Algebra: Mksol: CPU time 23576.69,  WCT time 6045.08, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 470.21/403.18
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 321.40000000000003s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.13/3.48449
Info:Quadratic Characters: Total cpu/real time for characters: 70.97/31.1229
Info:Filtering - Singleton removal: Total cpu/real time for purge: 360.61/402.798
Info:Generate Free Relations: Total cpu/real time for freerel: 184.29/47.1643
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 833826/47050.8
Info:root: Cleaning up computation data in /tmp/cado.fpi89wz_
247446928116913994534768384355244085928270208853320096882841234400176093052684115562592879248324620382123439571 22572887572273139307528963717403736774063232781427

cado-nfs-3.0.0

6 x 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)

43932404693192749638315116534490724960422963013459979851690261397807924496860347974943380219813514516629930086880117557055316957150756319070450913112307890411373948084016936699464479135895047<191>

2063094904618287970051486282486759033844370644359430581751611584412558922836813710374175515143<94>
21294417719150484282963050291447652270113186128729532786699196555198337536311662434356381793891329<98>

Number: n
N=43932404693192749638315116534490724960422963013459979851690261397807924496860347974943380219813514516629930086880117557055316957150756319070450913112307890411373948084016936699464479135895047
  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sat Feb 13 14:24:55 2010  prp94 factor: 2063094904618287970051486282486759033844370644359430581751611584412558922836813710374175515143
Sat Feb 13 14:24:55 2010  prp98 factor: 21294417719150484282963050291447652270113186128729532786699196555198337536311662434356381793891329
Sat Feb 13 14:24:55 2010  elapsed time 12:38:08 (Msieve 1.42 - dependency 3)

Version: 
Total time: 19.91 hours.
Scaled time: 16.76 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_6_4_193_3
n: 43932404693192749638315116534490724960422963013459979851690261397807924496860347974943380219813514516629930086880117557055316957150756319070450913112307890411373948084016936699464479135895047
m: 200000000000000000000000000000000000000
deg: 5
c5: 18125
c0: -13
skew: 0.24
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12938087)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3562658 hash collisions in 26541212 relations
Msieve: matrix is 2096783 x 2097008 (563.8 MB)

Total sieving time: 19.91 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,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,56,56,2.5,2.5,100000
total time: 19.91 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2009648k/2031552k available (2382k kernel code, 21092k reserved, 681k data, 296k init, 1114048k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

150364248590717496488935816326480270379122425159074868955230596067112690011421935349116501790232984614867745259857605787665937127072115883316412909251596010142009458739276718197342401969159<189>

103847259321610372073924050253<30>

1447936609718760749360067535781392847535511656388177962890118978787031768606123874361301183998193725780863669969923596746060603885509742425909266190788773872803<160>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2549112822
Step 1 took 12280ms
Step 2 took 11289ms
********** Factor found in step 2: 103847259321610372073924050253
Found probable prime factor of 30 digits: 103847259321610372073924050253
Composite cofactor has 160 digits

1447936609718760749360067535781392847535511656388177962890118978787031768606123874361301183998193725780863669969923596746060603885509742425909266190788773872803<160>

10927112325713410955657584821217505478296662293570765147882726883<65>
132508623189633739383884307639107363983244912838838878905920715094827310588089497676726181618241<96>

1447936609718760749360067535781392847535511656388177962890118978787031768606123874361301183998193725780863669969923596746060603885509742425909266190788773872803=10927112325713410955657584821217505478296662293570765147882726883*132508623189633739383884307639107363983244912838838878905920715094827310588089497676726181618241

cado polynomial
n: 1447936609718760749360067535781392847535511656388177962890118978787031768606123874361301183998193725780863669969923596746060603885509742425909266190788773872803
skew: 0.47
type: snfs
c0: -13
c5: 580
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 580*x^5-13
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
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: 132508623189633739383884307639107363983244912838838878905920715094827310588089497676726181618241 10927112325713410955657584821217505478296662293570765147882726883
Info:Square Root: Total cpu/real time for sqrt: 839.49/263.931
Info:Filtering - Singleton removal: Total cpu/real time for purge: 468.44/545.639
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31250055
Info:Lattice Sieving: Average J: 1893.54 for 4784991 special-q, max bucket fill -bkmult 1.0,1s:1.170930
Info:Lattice Sieving: Total time: 1.09341e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 157320/40428.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 101023.52, WCT time 25861.44, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92672 iterations)
Info:Linear Algebra: Lingen CPU time 645.33, WCT time 164.02
Info:Linear Algebra: Mksol: CPU time 54529.86,  WCT time 13968.44, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.81/2.72825
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 134.34/156.909
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 584.48/602.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 486.6000000000001s
Info:Filtering - Merging: Merged matrix has 2961210 rows and total weight 505863214 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 839.23/231.636
Info:Filtering - Merging: Total cpu/real time for replay: 115.17/100.692
Info:Quadratic Characters: Total cpu/real time for characters: 101.49/43.2635
Info:Square Root: Total cpu/real time for sqrt: 839.49/263.931
Info:Generate Free Relations: Total cpu/real time for freerel: 116.96/30.3185
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.20372e+06/589653
Info:root: Cleaning up computation data in /tmp/cado.0x6eiz45
132508623189633739383884307639107363983244912838838878905920715094827310588089497676726181618241 10927112325713410955657584821217505478296662293570765147882726883

cado-nfs-3.0.0

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

11845365836494429655366441097330184727601913432860987257944861912973585510562121389359639676969558853807904795540830985134711570248662915109777016886362705229727162733472953<173>

558582747450911086457120225267483262346266274625993151931123166509<66>
21206107583076425820138827227956907645757712895577903300520196140779772757159183025687708318691979092454717<107>

Number: n
N=11845365836494429655366441097330184727601913432860987257944861912973585510562121389359639676969558853807904795540830985134711570248662915109777016886362705229727162733472953  ( 173 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Mar 15 03:52:24 2021  p66 factor: 558582747450911086457120225267483262346266274625993151931123166509
Mon Mar 15 03:52:24 2021  p107 factor: 21206107583076425820138827227956907645757712895577903300520196140779772757159183025687708318691979092454717
Mon Mar 15 03:52:24 2021  elapsed time 01:35:48 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 58x10^197-13 = 64(196)3
#
n: 11845365836494429655366441097330184727601913432860987257944861912973585510562121389359639676969558853807904795540830985134711570248662915109777016886362705229727162733472953
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5800
c0: -13
skew: 0.30
# Murphy_E = 1.457e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4363795 hash collisions in 29847406 relations (26948237 unique)
Msieve: matrix is 1935041 x 1935266 (675.3 MB)

Sieving start time : 2021/03/14 18:18:25
Sieving end time  : 2021/03/15 02:16:03

Total sieving time: 7hrs 57min 38secs.

Total relation processing time: 1hrs 15min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 56sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

1703527681097502493520575799008265707826882271722266813774454326033167161082440713861760705110235777851308447054507621325814883480113832317753616061843912949670227<163>

11886551500859734818658620538271<32>
143315551274420434222213373947337563362940576038866710475231323622530913839047854154795199333394648781320634451598336144835705100237<132>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=581503178
Step 1 took 10729ms
Step 2 took 9936ms
********** Factor found in step 2: 11886551500859734818658620538271
Found probable prime factor of 32 digits: 11886551500859734818658620538271
Probable prime cofactor has 132 digits

2408918414443766526457701021768650135130829918012332504361997079302193424787973181483564883229679953265204951627296336736737127972679434252486740844808041127409827607751<169>

108595299792726603055272054928775685321354352849637436230554873411<66>
22182529253490848293200067411331433709994603077930624003365705635019816523384606207693229138647688048941<104>

Number: n
N=2408918414443766526457701021768650135130829918012332504361997079302193424787973181483564883229679953265204951627296336736737127972679434252486740844808041127409827607751  ( 169 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Apr  8 16:24:59 2021  p66 factor: 108595299792726603055272054928775685321354352849637436230554873411
Thu Apr  8 16:24:59 2021  p104 factor: 22182529253490848293200067411331433709994603077930624003365705635019816523384606207693229138647688048941
Thu Apr  8 16:24:59 2021  elapsed time 01:26:21 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 58x10^199-13 = 64(198)3
#
n: 2408918414443766526457701021768650135130829918012332504361997079302193424787973181483564883229679953265204951627296336736737127972679434252486740844808041127409827607751
m: 1000000000000000000000000000000000
deg: 6
c6: 580
c0: -13
skew: 0.53
# Murphy_E = 1.464e-11
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5033693 hash collisions in 46447373 relations (43861922 unique)
Msieve: matrix is 1794806 x 1795031 (636.6 MB)

Sieving start time : 2021/04/08 09:19:10
Sieving end time  : 2021/04/08 14:57:54

Total sieving time: 5hrs 38min 44secs.

Total relation processing time: 1hrs 3min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 59sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

117430774241718655989823719155593044221844535793517517165778525163593349685441838175735182059869895201461332707220055671779117103742292605400406461480236472587061848725750744364857<180>

1392964811947821598977424772189408404263148681<46>
84302757136780738047111150071115341530240155785557201240432038199399985235449802805025757128459126697403857368689833055121355656558897<134>

N=117430774241718655989823719155593044221844535793517517165778525163593349685441838175735182059869895201461332707220055671779117103742292605400406461480236472587061848725750744364857
  ( 180 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=1392964811947821598977424772189408404263148681 (pp46)
 r2=84302757136780738047111150071115341530240155785557201240432038199399985235449802805025757128459126697403857368689833055121355656558897 (pp134)
Version: Msieve v. 1.49
Total time:
Scaled time: 86.87 units (timescale=0.694).
Factorization parameters were as follows:
n: 117430774241718655989823719155593044221844535793517517165778525163593349685441838175735182059869895201461332707220055671779117103742292605400406461480236472587061848725750744364857
m: 10000000000000000000000000000000000000000
deg: 5
c5: 58
c0: -13
skew: 0.74
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 17970001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3399950 x 3400182
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time:

41735080161303257594123678034273244795131127040750619813450081522014232743452177948870441457441594762222983690254181932858031091633675346530075119935505257779863462063929341427167090724504373<191>

3143664564445904328787020206821<31>
11663528417376272678610259516543<32>

1138243294329740805626626607827445871298028689336000210733685605421143106920275598767687766662134180876107546911735619309113934191<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3108133421
Step 1 took 69321ms
Step 2 took 26912ms
********** Factor found in step 2: 3143664564445904328787020206821
Found probable prime factor of 31 digits: 3143664564445904328787020206821
Composite cofactor 13275933009302916707938250522728717091515375601905813087052453706897811536037853731249613932233022976893587662239987757541482377390854687204775898651104377821713 has 161 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=898189936
Step 1 took 59769ms
Step 2 took 22744ms
********** Factor found in step 2: 11663528417376272678610259516543
Found probable prime factor of 32 digits: 11663528417376272678610259516543
Composite cofactor 1138243294329740805626626607827445871298028689336000210733685605421143106920275598767687766662134180876107546911735619309113934191 has 130 digits

1138243294329740805626626607827445871298028689336000210733685605421143106920275598767687766662134180876107546911735619309113934191<130>

158941411091541306744045539976801408597846321539<48>
7161401717228851921494806626366666653657697918195700585330841071915322430081532069<82>

N = 1138243294329740805626626607827445871298028689336000210733685605421143106920275598767687766662134180876107546911735619309113934191 (130 digits)
Divisors found:
r1=158941411091541306744045539976801408597846321539 (pp48)
r2=7161401717228851921494806626366666653657697918195700585330841071915322430081532069 (pp82)
Version: Msieve v. 1.47
Total time: 40.79 hours.
Factorization parameters were as follows:
n: 1138243294329740805626626607827445871298028689336000210733685605421143106920275598767687766662134180876107546911735619309113934191
Y0: -15980909710130698116659659
Y1: 82856468321489
c0: -746982366990961504629333685935600
c1: 1010634135520433299915251420
c2: -221096568267291186260
c3: -3428355618756343
c4: 2411797320
c5: 1092
skew: 1237492.83
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19815333
Relations: 2395348 relations
Pruned matrix : 1351090 x 1351317
Polynomial selection time: 0.00 hours.
Total sieving time: 36.44 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 4.07 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 40.79 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

17045631942169630224757129195679094392162521619715267337550351695568497793649418802907449728647428234851392983068174629534295610419984000940355020797352205536551443950749410151<176>

1332431058576914794371875605713286914839<40>

12792880976802649647184334421115768162003923641357764192967694153708988712002224214941766108572401664660313051964152231737295109288719409<137>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=378923232
Step 1 took 55569ms
Step 2 took 28697ms
********** Factor found in step 2: 1332431058576914794371875605713286914839
Found probable prime factor of 40 digits: 1332431058576914794371875605713286914839
Composite cofactor

12792880976802649647184334421115768162003923641357764192967694153708988712002224214941766108572401664660313051964152231737295109288719409<137>

590354058904383463943354955278859280184143456407262817<54>
21669845042726546523251918788716916151705319888672948335463750979773575528663322577<83>

Number: 64443_203
N = 12792880976802649647184334421115768162003923641357764192967694153708988712002224214941766108572401664660313051964152231737295109288719409 (137 digits)
Divisors found:
r1=590354058904383463943354955278859280184143456407262817 (pp54)
r2=21669845042726546523251918788716916151705319888672948335463750979773575528663322577 (pp83)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 106.61 hours.
Factorization parameters were as follows:
# Murphy_E = 3.688e-11, selected by Dmitry Domanov
n: 12792880976802649647184334421115768162003923641357764192967694153708988712002224214941766108572401664660313051964152231737295109288719409
Y0: -257427564427035664513272184
Y1: 40418300178013
c0: -313264906596291144684333914236395
c1: 1409857516806146439071475120
c2: -4566494311030015593139
c3: -9194598163889672
c4: 30150288050
c5: 11316
skew: 658276.46
type: gnfs
# selected mechanically
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22061700
Relations: 3567882 relations
Pruned matrix : 2132614 x 2132839
Polynomial selection time: 0.00 hours.
Total sieving time: 103.45 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.95 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,55,55,2.6,2.6,100000
total time: 106.61 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

10239540052882150341645710735097278235013046145334029194337459313733231069955599484287204317361464054400714467043378697120093983279875536317813849518868802406318738204507<170>

15273410902740392084596933699770698958840597152546198056767130425700246793<74>
670416066069757048230892130690820202111387602216167308460015334078996156926402039019244676204099<96>

Number: n
N=10239540052882150341645710735097278235013046145334029194337459313733231069955599484287204317361464054400714467043378697120093983279875536317813849518868802406318738204507  ( 170 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Feb 22 02:01:10 2024  prp74 factor: 15273410902740392084596933699770698958840597152546198056767130425700246793
Thu Feb 22 02:01:10 2024  prp96 factor: 670416066069757048230892130690820202111387602216167308460015334078996156926402039019244676204099
Thu Feb 22 02:01:10 2024  elapsed time 03:50:37 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 58x10^204-13 = 64(203)3
#
n: 10239540052882150341645710735097278235013046145334029194337459313733231069955599484287204317361464054400714467043378697120093983279875536317813849518868802406318738204507
m: 100000000000000000000000000000000000000000
deg: 5
c5: 29
c0: -65
skew: 1.18
# Murphy_E = 7.766e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3723137 hash collisions in 19393082 relations (15954886 unique)
Msieve: matrix is 2659409 x 2659634 (748.8 MB)

Sieving start time: 2024/02/20 21:18:11
Sieving end time  : 2024/02/21 22:08:42

Total sieving time: 24hrs 50min 31secs.

Total relation processing time: 3hrs 39min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 58sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

33676675639754159102560963900657923771839396511769809979019650751645259114030473449609934052331429089655384598629084690289443528850998721649949453<146>

1660511677706759651979921966023864499469<40>
20280902622897023700341962033849466530597628746589555061504576884580058177917614715553196822061282114663937<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=995162445
Step 1 took 9131ms
Step 2 took 4226ms
********** Factor found in step 2: 1660511677706759651979921966023864499469
Found probable prime factor of 40 digits: 1660511677706759651979921966023864499469
Probable prime cofactor 

3421907642712723183601274601598502856407905550629188518201893730888203327392193684692450150770430706075243029190642144568518095696597148842952728705852229048337985357775193647523453341994299573854501667<202>

13888506043900075872038600640023640618297687547568462406190564828798414331078013309531284584717<95>
246384141814565271763193307540227853458550433441437058523472645209859637538074390076035967941479184139098351<108>

Number: n
N=3421907642712723183601274601598502856407905550629188518201893730888203327392193684692450150770430706075243029190642144568518095696597148842952728705852229048337985357775193647523453341994299573854501667  ( 202 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Sep  8 03:59:12 2020  p95 factor: 13888506043900075872038600640023640618297687547568462406190564828798414331078013309531284584717
Tue Sep  8 03:59:12 2020  p108 factor: 246384141814565271763193307540227853458550433441437058523472645209859637538074390076035967941479184139098351
Tue Sep  8 03:59:12 2020  elapsed time 03:02:47 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.017).
Factorization parameters were as follows:
#
# N = 58x10^206-13 = 64(205)3
#
n: 3421907642712723183601274601598502856407905550629188518201893730888203327392193684692450150770430706075243029190642144568518095696597148842952728705852229048337985357775193647523453341994299573854501667
m: 100000000000000000000000000000000000000000
deg: 5
c5: 580
c0: -13
skew: 0.47
# Murphy_E = 5.984e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10600659 hash collisions in 64580726 relations (56109498 unique)
Msieve: matrix is 2686877 x 2687104 (930.0 MB)

Sieving start time: 2020/09/07 01:34:10
Sieving end time  : 2020/09/08 00:55:23

Total sieving time: 23hrs 21min 13secs.

Total relation processing time: 2hrs 40min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 51sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149587] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184717] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976780)
[    0.182223] smpboot: Total of 16 processors activated (95814.24 BogoMIPS)

11003355869145634234425014603739869958305577019141392589127454318983127468004985446879612430233717127998912051318204069272549239431277726098470489627971618422945565856991680443302591079219<188>

602450119367881994955224165533771173866070249537735373348518047416933751352751777351<84>
18264343412680961132353325240413520814662363531026760786843385962078453427192508915398106388612524742069<104>

Number: n
N=11003355869145634234425014603739869958305577019141392589127454318983127468004985446879612430233717127998912051318204069272549239431277726098470489627971618422945565856991680443302591079219
  ( 188 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Aug 20 22:07:10 2021  p84 factor: 602450119367881994955224165533771173866070249537735373348518047416933751352751777351
Fri Aug 20 22:07:10 2021  p104 factor: 18264343412680961132353325240413520814662363531026760786843385962078453427192508915398106388612524742069
Fri Aug 20 22:07:10 2021  elapsed time 03:37:33 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 58x10^207-13 = 64(206)3
#
n: 11003355869145634234425014603739869958305577019141392589127454318983127468004985446879612430233717127998912051318204069272549239431277726098470489627971618422945565856991680443302591079219
m: 100000000000000000000000000000000000000000
deg: 5
c5: 5800
c0: -13
skew: 0.30
# Murphy_E = 4.913e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9986316 hash collisions in 64979397 relations (57369761 unique)
Msieve: matrix is 2946421 x 2946647 (1026.1 MB)

Sieving start time : 2021/08/19 20:32:54
Sieving end time  : 2021/08/20 18:27:48

Total sieving time: 21hrs 54min 54secs.

Total relation processing time: 3hrs 6min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 8sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019<180>

20891812363457139094219747114883048376456137348862463<53>
14426016471861981928479831354009719635037267870894502190542163<62>
1932753209065471498831658534857944654378225735152606826409116052951<67>

11/25/24 15:09:06 v1.34.5 @ RYZEN-9,
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, ****************************
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, Starting factorization of 579999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999987
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, using pretesting plan: normal
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, ****************************
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 193
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 499
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, div: found prime factor = 5437
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C198
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C198
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C198
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C198
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.92
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C198 input, B1=2K, B2=gmp-ecm default
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.92
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, prp18 = 869486972751942781 (curve 5 stg2 B1=11000 sigma=4187506232 thread=0)
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, Finished 5 curves using Lenstra ECM method on C198 input, B1=11K, B2=gmp-ecm default
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.52
11/25/24 15:09:06 v1.34.5 @ RYZEN-9, scheduled 69 curves at B1=11000 toward target pretesting depth of 55.38
11/25/24 15:09:09 v1.34.5 @ RYZEN-9, Finished 69 curves using Lenstra ECM method on C180 input, B1=11K, B2=gmp-ecm default
11/25/24 15:09:09 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
11/25/24 15:09:09 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.38
11/25/24 15:10:09 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 579999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999987
11/25/24 15:10:09 v1.34.5 @ RYZEN-9, nfs: input divides 58*10^208 - 13
11/25/24 15:10:09 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019
11/25/24 15:10:09 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c180: 582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019
11/25/24 15:10:09 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019
# 58*10^208-13, difficulty: 212.76, anorm: -1.62e+027, rnorm: 2.32e+047
# scaled difficulty: 216.12, suggest sieving rational side
# size = 7.722e-015, alpha = -0.162, combined = 4.198e-012, rroots = 1
type: snfs
size: 212
skew: 0.1863
c5: 58000
c0: -13
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019
# 58*10^208-13, difficulty: 210.37, anorm: -1.36e+027, rnorm: 3.28e+047
# scaled difficulty: 213.76, suggest sieving rational side
# size = 7.722e-015, alpha = 0.531, combined = 4.162e-012, rroots = 1
type: snfs
size: 210
skew: 0.3725
c5: 3625
c0: -26
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019
# 58*10^208-13, difficulty: 210.00, anorm: -3.17e+032, rnorm: 7.72e+040
# scaled difficulty: 211.40, suggest sieving rational side
# size = 1.158e-010, alpha = 0.005, combined = 3.712e-012, rroots = 2
type: snfs
size: 210
skew: 1.6791
c6: 29
c0: -650
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
11/25/24 15:10:11 v1.34.5 @ RYZEN-9, test: fb generation took 2.0313 seconds
11/25/24 15:10:11 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.1863
c5: 58000
c0: -13
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/25/24 15:13:40 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/25/24 15:13:42 v1.34.5 @ RYZEN-9, test: fb generation took 1.8136 seconds
11/25/24 15:13:42 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.3725
c5: 3625
c0: -26
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/25/24 15:16:58 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/25/24 15:17:01 v1.34.5 @ RYZEN-9, test: fb generation took 2.5313 seconds
11/25/24 15:17:01 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 1.6791
c6: 29
c0: -650
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/25/24 15:20:09 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/25/24 15:20:09 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 582504042161548021719812208110971953723728380831575793184124054405054089757932931185281341193734003168019410080262148784862264575326601138983918763332550653829305117441853173011019
# 58*10^208-13, difficulty: 210.37, anorm: -1.36e+027, rnorm: 3.28e+047
# scaled difficulty: 213.76, suggest sieving rational side
# size = 7.722e-015, alpha = 0.531, combined = 4.162e-012, rroots = 1
type: snfs
size: 210
skew: 0.3725
c5: 3625
c0: -26
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/27/24 11:10:20 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/27/24 11:12:27 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22101283
11/27/24 13:46:58 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/27/24 13:49:17 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23216132
11/27/24 16:47:58 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/27/24 16:50:21 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24429153
11/27/24 19:58:46 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/27/24 20:01:13 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25734091
11/27/24 23:21:09 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/27/24 23:23:42 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27125334
11/28/24 02:40:01 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/28/24 02:42:42 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 28495526
11/28/24 06:11:11 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/28/24 06:16:05 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/28/24 10:38:26 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/28/24 10:55:45 v1.34.5 @ RYZEN-9, prp67 = 1932753209065471498831658534857944654378225735152606826409116052951
11/28/24 10:55:45 v1.34.5 @ RYZEN-9, prp62 = 14426016471861981928479831354009719635037267870894502190542163
11/28/24 10:55:45 v1.34.5 @ RYZEN-9, prp53 = 20891812363457139094219747114883048376456137348862463
11/28/24 10:55:45 v1.34.5 @ RYZEN-9, NFS elapsed time = 243936.3397 seconds.
11/28/24 10:55:45 v1.34.5 @ RYZEN-9,
11/28/24 10:55:45 v1.34.5 @ RYZEN-9,
11/25/24 15:20:09 v1.34.5 @ RYZEN-9, test: test sieving took 599.35 seconds

YAFU

3815810879667681301288515724689979915887090922543721499039119797621246776531372564013610856482757482284924716906990744415771466722936750550239118630437022185096571050150799<172>

2557303439507432174428724848297362613057<40>

1492122843428644121231617005889118558999561732709515993774655928964757740371498949209090390462350087903840197869799007741746444864207<133>

Run 110 out of 188:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=813639521
Step 1 took 198817ms
Step 2 took 52976ms
********** Factor found in step 2: 2557303439507432174428724848297362613057
Found probable prime factor of 40 digits: 2557303439507432174428724848297362613057
Composite cofactor 1492122843428644121231617005889118558999561732709515993774655928964757740371498949209090390462350087903840197869799007741746444864207 has 133 digits

GMP-ECM 6.4.4

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

1492122843428644121231617005889118558999561732709515993774655928964757740371498949209090390462350087903840197869799007741746444864207<133>

9674960120943374834582650340197642016957127522962100765989863<61>
154225218995853796942878810253418439637720292019762720630173757489052889<72>

Number: 64443_209
N = 1492122843428644121231617005889118558999561732709515993774655928964757740371498949209090390462350087903840197869799007741746444864207 (133 digits)
Divisors found:
r1=9674960120943374834582650340197642016957127522962100765989863 (pp61)
r2=154225218995853796942878810253418439637720292019762720630173757489052889 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 67.69 hours.
Factorization parameters were as follows:
# Murphy_E = 5.51e-11, selected by Erik Branger
# expecting poly E from 6.13e-011 to > 7.05e-011
n: 1492122843428644121231617005889118558999561732709515993774655928964757740371498949209090390462350087903840197869799007741746444864207
Y0: -71835398200514800225071050
Y1: 84076533691427
c0: -1111065999366704113525367516509449
c1: 3808619966027178428583887199
c2: -41653855974611593813755
c3: -1454165063324887
c4: 26791797296
c5: 780
skew: 1495049.45
type: gnfs
# selected mechanically
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19965749
Relations: 2894854 relations
Pruned matrix : 1697125 x 1697355
Polynomial selection time: 0.00 hours.
Total sieving time: 65.28 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.09 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11200000,11200000,28,28,54,54,2.6,2.6,100000
total time: 67.69 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

23780859307795487763570941097362961112608458572658987344659777954223804817112971282041760393462658731294506090536073697186933083550970891711276105058448429<155>

4778670505166294407222470872446978587047107462245664304039904824584597635341701487909570757693440697310758364494422452587105364331537591564004541153288201955534726895857044439645570683612633<190>

722759272844310920685733378446553<33>

6611704179678735915235973344935182020904800459912110033746246163796688496742534880482490936974483604079196285508745388878284015653021028758925208289238319361<157>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2118079752
Step 1 took 13361ms
Step 2 took 12073ms
********** Factor found in step 2: 722759272844310920685733378446553
Found probable prime factor of 33 digits: 722759272844310920685733378446553
Composite cofactor

9132563109485253923397665980649984352942813512439057964049565485594072453476852273307445278391354468682249222216316804280220488637769625965030780047656761423765548815032271593<175>

1262940997445226838380405091207876456159326772655226879230906673762028233780250009115843339396416292708312539629032546205312472660795729806516923846139756356956699526137919729975829415654958804332843133653<205>

3651885051432222521318515034351283180460131830407286008198337692265078694960895729850123876292637846284687666265629115209477093463269852946300998194245949263381029839619066559235340207254915002933621693309<205>

163391944655996507310624700082275250077849<42>
22350459559807912642848303171026003567477241564759671643108525157529472338521876444514093896102823344512466723301394180569476965772431799564325617162393461043473541<164>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3547197899
Step 1 took 16205ms
Step 2 took 11079ms
********** Factor found in step 2: 163391944655996507310624700082275250077849
Found probable prime factor of 42 digits: 163391944655996507310624700082275250077849
Probable prime cofactor 

1408765691835152862719227168317046587778799846885907164413200543276444307212553948203052920744495148997344127115100251163465461747060709584448513598107274907710559283716290688566555566007<187>

94265371359617243718640765261033105952741360877660659403444258362959262554962078012172068453034365560657342961090451883181021051720128901529933945249204318973<158>

744339817841895358291773112454585297173252428149723371677124070047982201863<75>
126642924508493885144994643665398079519464277324995732777596839258392805986819370971<84>

Number: 64443_219
N = 94265371359617243718640765261033105952741360877660659403444258362959262554962078012172068453034365560657342961090451883181021051720128901529933945249204318973 (158 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=744339817841895358291773112454585297173252428149723371677124070047982201863 (pp75)
r2=126642924508493885144994643665398079519464277324995732777596839258392805986819370971 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 43.33 hours.
Factorization parameters were as follows:
n: 94265371359617243718640765261033105952741360877660659403444258362959262554962078012172068453034365560657342961090451883181021051720128901529933945249204318973
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: -65
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7362316 relations
Pruned matrix : 6428704 x 6428930
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 33.36 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 9.35 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 43.33 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

155698370638800775319906950445436142735056706925984292386333532187139397567280005429646797323366865525304716557359038574460326201712758835736750758729405161557569114332355589617402981<183>

10404308964117388768900406236660037743498291001654917<53>
14964796910181806884082465528271986223919312188638475421339785896563180363598438153883626711726979328628564893848129665331067012193<131>

Number: 64443_220
N = 155698370638800775319906950445436142735056706925984292386333532187139397567280005429646797323366865525304716557359038574460326201712758835736750758729405161557569114332355589617402981 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=10404308964117388768900406236660037743498291001654917 (pp53)
r2=14964796910181806884082465528271986223919312188638475421339785896563180363598438153883626711726979328628564893848129665331067012193 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.34 hours.
Factorization parameters were as follows:
n: 155698370638800775319906950445436142735056706925984292386333532187139397567280005429646797323366865525304716557359038574460326201712758835736750758729405161557569114332355589617402981
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 58
c0: -13
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33915765
Relations: 7056396 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.80 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6462278 x 6462502
Matrix solve time: 19.05 hours.
time per square root: 0.15 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: 39.34 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

19830736843517752976934396820230207594104030867999781088758461158414364109556260107619363865896578743876980879935285126153380968925488285968617464850408222239949051434790140347985510239<185>

1841579797366338640973646656324443<34>

10768328840204418263422437807157248516359802582819233320638874059017167883897672374913310528584167831834897190995614268693009686501906084491900179351373<152>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3225116015
Step 1 took 13321ms
********** Factor found in step 1: 1841579797366338640973646656324443
Found probable prime factor of 34 digits: 1841579797366338640973646656324443
Composite cofactor 

10768328840204418263422437807157248516359802582819233320638874059017167883897672374913310528584167831834897190995614268693009686501906084491900179351373<152>

2178337734057377304138042592493832872254040892793901641<55>
4943369740993882555737169712414327255887652248103728876935335813545519900303584464833343297588453<97>

Number: 64443_222
N = 10768328840204418263422437807157248516359802582819233320638874059017167883897672374913310528584167831834897190995614268693009686501906084491900179351373 (152 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=2178337734057377304138042592493832872254040892793901641 (pp55)
r2=4943369740993882555737169712414327255887652248103728876935335813545519900303584464833343297588453 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 81.41 hours.
Factorization parameters were as follows:
n: 10768328840204418263422437807157248516359802582819233320638874059017167883897672374913310528584167831834897190995614268693009686501906084491900179351373
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5800
c0: -13
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33226671
Relations: 12892148 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.94 hours.
Total relation processing time: 0.29 hours.
Pruned matrix : 10867795 x 10868020
Matrix solve time: 53.93 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 81.41 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1086461477142599862148827239676868727631175157085802878100377508365159532767103729054357181221526053344612982165899748356301541293836417487091694378334444349281944525753954735705458652562196754193710341<202>

950792716701258721903758235607142368294618544400740372142229721812479355786494182760343571972096843959625755844056474639670971286393405072409487708659862991588517136545049157919<177>

1953424361494030279579719131997501597185433431741800705846990809215842550439884054025507296644541340355126015051922811002175033619359453897452246613318714713725440904802453713853932444139279143502632210699342390803014057<220>

37908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379<227>

135775852915801052091744769977494222953419477080530295707938815802939112568414444923317859939<93>
279199105864092157546834237879432723726221965319432067925707370601001901274805607486170258906386662083210361962870322273486742194767961<135>

Number: n
N=37908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379
  ( 227 digits)
SNFS difficulty: 229 digits.
Divisors found:

Tue Nov 20 22:06:57 2018  p93 factor: 135775852915801052091744769977494222953419477080530295707938815802939112568414444923317859939
Tue Nov 20 22:06:57 2018  p135 factor: 279199105864092157546834237879432723726221965319432067925707370601001901274805607486170258906386662083210361962870322273486742194767961
Tue Nov 20 22:06:57 2018  elapsed time 26:19:41 (Msieve 1.54 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 58x10^227-13 = 64(226)3
#
n: 37908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379
m: 100000000000000000000000000000000000000
deg: 6
c6: 29
c0: -65
skew: 1.14
# Murphy_E = 9.209e-13
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 106700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18875642 hash collisions in 105591338 relations (88862159 unique)
Msieve: matrix is 6904684 x 6904909 (2426.6 MB)

Sieving start time: 2018/11/17 11:29:24
Sieving end time  : 2018/11/19 19:41:48

Total sieving time: 56hrs 12min 24secs.

Total relation processing time: 23hrs 57min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 45min 14sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285108K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418352K reserved, 0K cma-reserved)
[    0.076577] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977156)
[    0.074209] smpboot: Total of 16 processors activated (95817.24 BogoMIPS)

2234177434331132087019539132070703264288549261800643923272042364511646412328020792094330113609501482859329264671960226295667508500371128670350539666370115012415452852983580966823287238958221772451796613296535577380038471<220>

735843566703524361354640767542013792307<39>

3036212498724331616860975156230742058040944460278491148691502771760651086708293633660561165563934516518889676663818181548365623706110928685860972608678591536502993353802593660266653<181>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3144165354
Step 1 took 16865ms
Step 2 took 14197ms
********** Factor found in step 2: 735843566703524361354640767542013792307
Found probable prime factor of 39 digits: 735843566703524361354640767542013792307
Composite cofactor 

34546821034910484636536636279863756343058761005035390850094302841699298317534806202088794028577940977030779240756204433070033736381512051815099096894731487945388229503096241397341234526353629289651370005349<206>

948674338571076006398707931<27>

36415890712239591748226513604520877604116501906115456057605485333059153643924650047802913863946677043969468725155753869501117659716553108780379206539051616104930017317956153714879<179>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3704813706
Step 1 took 10037ms
Step 2 took 7396ms
********** Factor found in step 2: 948674338571076006398707931
Found probable prime factor of 27 digits: 948674338571076006398707931
Composite cofactor

36415890712239591748226513604520877604116501906115456057605485333059153643924650047802913863946677043969468725155753869501117659716553108780379206539051616104930017317956153714879<179>

471805079423471835917781080537312508617<39>

77184185377441142516024420166666607261817774885039765240317266086600342561895564110290839444322443958718458738955221817288225409816541135687<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=198617717
Step 1 took 16253ms
Step 2 took 6097ms
********** Factor found in step 2: 471805079423471835917781080537312508617
Found probable prime factor of 39 digits: 471805079423471835917781080537312508617
Composite cofactor

77184185377441142516024420166666607261817774885039765240317266086600342561895564110290839444322443958718458738955221817288225409816541135687<140>

726974902348326885753281812370556680477159786696310535308368863<63>
106171733203051724245601404485074346212059939178269367551292282544468733117849<78>

Number: 64443_229
N = 77184185377441142516024420166666607261817774885039765240317266086600342561895564110290839444322443958718458738955221817288225409816541135687 (140 digits)
Divisors found:
r1=726974902348326885753281812370556680477159786696310535308368863 (pp63)
r2=106171733203051724245601404485074346212059939178269367551292282544468733117849 (pp78)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 172.25 hours.
Factorization parameters were as follows:
# Murphy_E = 2.061e-11, selected by Erik Branger
# expecting poly E from 2.09e-011 to > 2.40e-011
n: 77184185377441142516024420166666607261817774885039765240317266086600342561895564110290839444322443958718458738955221817288225409816541135687
Y0: -2966462885936552228310554697
Y1: 943771076682643
c0: -2303275982689123578085718374902939500
c1: 2625143156526008423624445628930
c2: 1071411824099002391946648
c3: -169541491918306789
c4: -13492208062
c5: 336
skew: 8704896.52
type: gnfs
# selected mechanically
rlim: 18100000
alim: 18100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23062306
Relations: 3428194 relations
Pruned matrix : 2133550 x 2133777
Polynomial selection time: 0.00 hours.
Total sieving time: 169.62 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.95 hours.
time per square root: 0.53 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18100000,18100000,28,28,55,55,2.6,2.6,100000
total time: 172.25 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<232>

4023899318746439212971071540239479671887153874977868069805065525672688400316422571296627<88>
1601542169412945179451893811246911489319535578764618873793658428459280795650755595512264365054405056999866344993010590139871611630514667649812409<145>

Sat Apr 22 23:36:00 2017  
Sat Apr 22 23:36:00 2017  
Sat Apr 22 23:36:00 2017  Msieve v. 1.53 (SVN 1005)
Sat Apr 22 23:36:00 2017  random seeds: 676c9a48 b5977fff
Sat Apr 22 23:36:00 2017  factoring 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (232 digits)
Sat Apr 22 23:36:01 2017  searching for 15-digit factors
Sat Apr 22 23:36:02 2017  commencing number field sieve (232-digit input)
Sat Apr 22 23:36:02 2017  R0: -100000000000000000000000000000000000000
Sat Apr 22 23:36:02 2017  R1: 1
Sat Apr 22 23:36:02 2017  A0: -13
Sat Apr 22 23:36:02 2017  A1: 0
Sat Apr 22 23:36:02 2017  A2: 0
Sat Apr 22 23:36:02 2017  A3: 0
Sat Apr 22 23:36:02 2017  A4: 0
Sat Apr 22 23:36:02 2017  A5: 0
Sat Apr 22 23:36:02 2017  A6: 58000
Sat Apr 22 23:36:02 2017  skew 0.25, size 8.271e-012, alpha -0.470, combined = 5.685e-013 rroots = 2
Sat Apr 22 23:36:02 2017  
Sat Apr 22 23:36:02 2017  commencing square root phase
Sat Apr 22 23:36:02 2017  handling dependencies 16 to 21
Sat Apr 22 23:36:02 2017  reading relations for dependency 16
Sat Apr 22 23:36:04 2017  read 4689796 cycles
Sat Apr 22 23:36:10 2017  cycles contain 15380210 unique relations
Sat Apr 22 23:48:44 2017  read 15380210 relations
Sat Apr 22 23:50:09 2017  multiplying 15380210 relations
Sun Apr 23 00:12:48 2017  multiply complete, coefficients have about 612.83 million bits
Sun Apr 23 00:12:50 2017  initial square root is modulo 314827
Sun Apr 23 00:36:59 2017  sqrtTime: 3657
Sun Apr 23 00:37:00 2017  p88 factor: 4023899318746439212971071540239479671887153874977868069805065525672688400316422571296627
Sun Apr 23 00:37:00 2017  p145 factor: 1601542169412945179451893811246911489319535578764618873793658428459280795650755595512264365054405056999866344993010590139871611630514667649812409
Sun Apr 23 00:37:00 2017  elapsed time 01:01:00

618087481835462588056459714743090799860159138420544473158140926885500903839331336980411405722567424432007665395700265988106657176343450441791005517000639291940019481077437835215463098408844006575363026469<204>