12097686186020334632519632440734487347398208490471757162619201657908993840699772247907889269352353<98>

15503305797418981345720755638978753<35>
780329456446274801345339576045023254771125029723964628297791201<63>

N=12097686186020334632519632440734487347398208490471757162619201657908993840699772247907889269352353
  ( 98 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=15503305797418981345720755638978753 (pp35)
 r2=780329456446274801345339576045023254771125029723964628297791201 (pp63)
Version: Msieve-1.40
Total time: 0.24 hours.
Scaled time: 0.46 units (timescale=1.899).
Factorization parameters were as follows:
n: 12097686186020334632519632440734487347398208490471757162619201657908993840699772247907889269352353
m: 10000000000000000000000000
deg: 4
c4: 230
c0: 7
skew: 0.42
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28464 x 28690
Total sieving time: 0.23 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:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.24 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<103>

16366251904462813283148459651532808177<38>
468443643139581039544972884127926202489907608934281528490340905597<66>

N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 103 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=16366251904462813283148459651532808177 (pp38)
 r2=468443643139581039544972884127926202489907608934281528490340905597 (pp66)
Version: Msieve-1.40
Total time: 0.29 hours.
Scaled time: 0.55 units (timescale=1.899).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 10000000000000000000000000
deg: 4
c4: 2300
c0: 7
skew: 0.23
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29258 x 29485
Total sieving time: 0.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.29 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

332919221003316962952714214283774363080007369160491821897306409696378607336009959868847<87>

485355677072414738525607759311522393567<39>
685928354668540614395845427196619202593904737841<48>

12/17/09 17:20:06 v1.14 @ ERIK-DATOR, starting SIQS on c87: 332919221003316962952714214283774363080007369160491821897306409696378607336009959868847
12/17/09 17:20:06 v1.14 @ ERIK-DATOR, random seeds: 0, 4234451912
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, ==== sieve params ====
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, n = 88 digits, 292 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, factor base: 59299 primes (max prime = 1555291)
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, single large prime cutoff: 171082010 (110 * pmax)
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, double large prime cutoff: 660340325177177
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, allocating 12 large prime slices of factor base
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, polynomial A has ~ 11 factors
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, using multiplier of 13
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, using small prime variation correction of 21 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, trial factoring cutoff at 96 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, trial division touched 13557846 sieve locations out of 45420989644800
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, 59732 relations found: 19973 full + 39759 from 551163 partial, using 38503850 polys (547 A polys)
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 345.78 rels/sec
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, trial division touched 13557846 sieve locations out of 45420989644800
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
12/17/09 17:47:39 v1.14 @ ERIK-DATOR, begin with 571136 relations
12/17/09 17:47:40 v1.14 @ ERIK-DATOR, reduce to 122343 relations in 9 passes
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, recovered 122343 relations
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, recovered 98940 polynomials
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, attempting to build 59732 cycles
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, found 59732 cycles in 4 passes
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 1 : 19973
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 2 : 16102
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 3 : 11108
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 4 : 6291
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 5 : 3390
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 6 : 1583
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 7 : 755
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 9+: 530
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, largest cycle: 17 relations
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, matrix is 59299 x 59732 (12.1 MB) with weight 2922762 (48.93/col)
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, sparse part has weight 2922762 (48.93/col)
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, filtering completed in 3 passes
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, matrix is 52382 x 52443 (10.8 MB) with weight 2612003 (49.81/col)
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, sparse part has weight 2612003 (49.81/col)
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, matrix is 52334 x 52443 (9.0 MB) with weight 2228680 (42.50/col)
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, sparse part has weight 2043916 (38.97/col)
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, using block size 20977 for processor cache size 2048 kB
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, memory use: 8.1 MB
12/17/09 17:48:20 v1.14 @ ERIK-DATOR, lanczos halted after 829 iterations (dim = 52333)
12/17/09 17:48:21 v1.14 @ ERIK-DATOR, recovered 19 nontrivial dependencies
12/17/09 17:48:22 v1.14 @ ERIK-DATOR, prp39 = 485355677072414738525607759311522393567
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, prp48 = 685928354668540614395845427196619202593904737841
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 42.5920 seconds.
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 2.5280 seconds.
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, SIQS elapsed time = 1696.8740 seconds.

YAFU

3216795530113556618934915882743498388485970004369579124482771856979467751789282255207721<88>

2080914820955598617907251122725823898148173<43>
1545856417436797515310721619019024547744620877<46>

2/17/09 18:11:31 v1.14 @ ERIK-DATOR, starting SIQS on c88: 3216795530113556618934915882743498388485970004369579124482771856979467751789282255207721
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, random seeds: 0, 4234451912
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, ==== sieve params ====
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, n = 88 digits, 291 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, factor base: 61083 primes (max prime = 1611749)
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, single large prime cutoff: 177292390 (110 * pmax)
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, double large prime cutoff: 704112687915357
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, allocating 12 large prime slices of factor base
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, polynomial A has ~ 11 factors
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, using multiplier of 1
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, using small prime variation correction of 20 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, trial factoring cutoff at 97 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, trial division touched 12387346 sieve locations out of 36035391651840
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, 61605 relations found: 20676 full + 40929 from 577615 partial, using 30547580 polys (487 A polys)
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 361.41 rels/sec
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, trial division touched 12387346 sieve locations out of 36035391651840
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
12/17/09 18:39:07 v1.14 @ ERIK-DATOR, begin with 598291 relations
12/17/09 18:39:08 v1.14 @ ERIK-DATOR, reduce to 126888 relations in 9 passes
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, recovered 126888 relations
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, recovered 99447 polynomials
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, attempting to build 61605 cycles
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, found 61605 cycles in 5 passes
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 1 : 20676
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 2 : 16707
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 3 : 11348
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 4 : 6423
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 5 : 3462
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 6 : 1681
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 7 : 723
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 9+: 585
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, largest cycle: 15 relations
12/17/09 18:39:21 v1.14 @ ERIK-DATOR, matrix is 61083 x 61605 (12.2 MB) with weight 2961410 (48.07/col)
12/17/09 18:39:21 v1.14 @ ERIK-DATOR, sparse part has weight 2961410 (48.07/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, filtering completed in 4 passes
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, matrix is 53728 x 53792 (10.9 MB) with weight 2631067 (48.91/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, sparse part has weight 2631067 (48.91/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, matrix is 53680 x 53792 (9.2 MB) with weight 2274175 (42.28/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, sparse part has weight 2084036 (38.74/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, using block size 21516 for processor cache size 2048 kB
12/17/09 18:39:24 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
12/17/09 18:39:24 v1.14 @ ERIK-DATOR, memory use: 8.3 MB
12/17/09 18:39:47 v1.14 @ ERIK-DATOR, lanczos halted after 851 iterations (dim = 53676)
12/17/09 18:39:48 v1.14 @ ERIK-DATOR, recovered 13 nontrivial dependencies
12/17/09 18:39:49 v1.14 @ ERIK-DATOR, prp43 = 2080914820955598617907251122725823898148173
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, prp46 = 1545856417436797515310721619019024547744620877
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 41.3880 seconds.
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 5.2320 seconds.
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, SIQS elapsed time = 1702.0760 seconds.

YAFU

236486950704981546873301241060210324387354907053759004965902155459257877449591326407926071369<93>

145717171735411817146963718723119073599<39>
1622917518152125158739229174383634945061249878227930231<55>

N=236486950704981546873301241060210324387354907053759004965902155459257877449591326407926071369
  ( 93 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=145717171735411817146963718723119073599 (pp39)
 r2=1622917518152125158739229174383634945061249878227930231 (pp55)
Version: Msieve-1.40
Total time: 1.03 hours.
Scaled time: 2.00 units (timescale=1.934).
Factorization parameters were as follows:
n: 236486950704981546873301241060210324387354907053759004965902155459257877449591326407926071369
m: 100000000000000000000000
deg: 5
c5: 23
c0: 7
skew: 0.79
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 555001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62040 x 62274
Total sieving time: 1.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.03 hours.
 --------- CPU info (if available) ----------

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<118>

14569581354226241661746116562056802057508343476522953837<56>
526210498453531331924932909008559187519482724594784737411043137<63>

N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 118 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=14569581354226241661746116562056802057508343476522953837 (pp56)
 r2=526210498453531331924932909008559187519482724594784737411043137 (pp63)
Version: Msieve-1.40
Total time: 1.40 hours.
Scaled time: 2.63 units (timescale=1.883).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 100000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73555 x 73781
Total sieving time: 1.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.40 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

112862507723294616972009178085600140935549884805945509772132374654095565184658821451591703944738991519<102>

616662315237088461756368984825451529618304609<45>
183021574262896725676823532935622444218431584201994836991<57>

N=112862507723294616972009178085600140935549884805945509772132374654095565184658821451591703944738991519
  ( 102 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=616662315237088461756368984825451529618304609 (pp45)
 r2=183021574262896725676823532935622444218431584201994836991 (pp57)
Version: Msieve-1.40
Total time: 1.42 hours.
Scaled time: 2.65 units (timescale=1.866).
Factorization parameters were as follows:
n: 112862507723294616972009178085600140935549884805945509772132374654095565184658821451591703944738991519
m: 100000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor 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, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70562 x 70793
Total sieving time: 1.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 1.42 hours.
 --------- CPU info (if available) ----------

27207628019144882054012175877546708769211265306368105830557938863759367147355611190125656060628084554910176426701<113>

903364418940510837202718011796346043<36>
30118108980930079273273885810813189661278080103264113178198009378613739190807<77>

N=27207628019144882054012175877546708769211265306368105830557938863759367147355611190125656060628084554910176426701
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=903364418940510837202718011796346043 (pp36)
 r2=30118108980930079273273885810813189661278080103264113178198009378613739190807 (pp77)
Version: Msieve-1.40
Total time: 2.10 hours.
Scaled time: 3.95 units (timescale=1.877).
Factorization parameters were as follows:
n: 27207628019144882054012175877546708769211265306368105830557938863759367147355611190125656060628084554910176426701
m: 10000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147422 x 147647
Total sieving time: 2.02 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 2.10 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

14883269991134289211077349683781442707264471531662519776756720046042023420857648997080679874326196989860850194432708433<119>

1325930876011785899835125289730218699242507<43>
11224770657653797020738499348061137631067325221162132058552569512965365014419<77>

N=14883269991134289211077349683781442707264471531662519776756720046042023420857648997080679874326196989860850194432708433
  ( 119 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=1325930876011785899835125289730218699242507 (pp43)
 r2=11224770657653797020738499348061137631067325221162132058552569512965365014419 (pp77)
Version: Msieve-1.40
Total time: 3.14 hours.
Scaled time: 5.93 units (timescale=1.888).
Factorization parameters were as follows:
n: 14883269991134289211077349683781442707264471531662519776756720046042023420857648997080679874326196989860850194432708433
m: 100000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 187019 x 187244
Total sieving time: 3.01 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,50000
total time: 3.14 hours.
 --------- CPU info (if available) ----------

148812570141244159548583178346655645264533414299018712051791343900277074936886619081486558885403947<99>

3458833797702092192028014218740192151<37>
43023914661672714363772351729455871813057323558894140821120397<62>

Msieve v. 1.43
Sat Dec 19 22:27:52 2009
random seeds: 75b3f540 5533574a
factoring 1488125701412441595485831783466556452645334142990187120517913439002770
74936886619081486558885403947 (99 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
searching for 30-digit factors
425 of 430 curves
completed 430 ECM curves
commencing quadratic sieve (99-digit input)
using multiplier of 47
using 64kb Opteron sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 2567269 (94118 primes)
using large prime bound of 385090350 (28 bits)
using double large prime bound of 2844544577802900 (43-52 bits)
using trial factoring cutoff of 52 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
94500 relations (22703 full + 71797 combined from 1416345 partial), need 94214
94500 relations (22703 full + 71797 combined from 1416345 partial), need 94214
sieving complete, commencing postprocessing
begin with 1439048 relations
reduce to 247787 relations in 11 passes
attempting to read 247787 relations
recovered 247787 relations
recovered 237649 polynomials
attempting to build 94500 cycles
found 94500 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 22703
   length 2 : 16212
   length 3 : 16087
   length 4 : 12823
   length 5 : 9707
   length 6 : 6522
   length 7 : 4339
   length 9+: 6107
largest cycle: 19 relations
matrix is 94118 x 94500 (25.6 MB) with weight 6327221 (66.95/col)
sparse part has weight 6327221 (66.95/col)
filtering completed in 3 passes
matrix is 90199 x 90263 (24.5 MB) with weight 6059463 (67.13/col)
sparse part has weight 6059463 (67.13/col)
saving the first 48 matrix rows for later
matrix is 90151 x 90263 (14.4 MB) with weight 4716111 (52.25/col)
sparse part has weight 3236903 (35.86/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 15.1 MB
linear algebra at 26.7%, ETA 0h 0m90263 dimensions (26.7%, ETA 0h 0m)
linear algebra completed 88361 of 90263 dimensions (97.9%, ETA 0h 0m)
lanczos halted after 1427 iterations (dim = 90149)
recovered 16 nontrivial dependencies
prp37 factor: 3458833797702092192028014218740192151
prp62 factor: 43023914661672714363772351729455871813057323558894140821120397
elapsed time 17:36:29

Msieve v1.43

279238936223856629565358566671998470909289797293239621891946305210805050327370355301150613<90>

181640374412425783567041523872410101<36>
1537317554685431513606392745565325440665719944957889313<55>

12/17/09 19:00:07 v1.14 @ ERIK-DATOR, starting SIQS on c90: 279238936223856629565358566671998470909289797293239621891946305210805050327370355301150613
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, random seeds: 0, 4234451912
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, ==== sieve params ====
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, n = 91 digits, 300 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, factor base: 65244 primes (max prime = 1727969)
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, single large prime cutoff: 190076590 (110 * pmax)
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, double large prime cutoff: 798126145132792
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, allocating 13 large prime slices of factor base
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, polynomial A has ~ 12 factors
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, using multiplier of 5
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, using small prime variation correction of 19 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, trial factoring cutoff at 97 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, trial division touched 24313873 sieve locations out of 127655263862784
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, 65511 relations found: 18382 full + 47129 from 776551 partial, using 108214708 polys (901 A polys)
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 215.54 rels/sec
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, trial division touched 24313873 sieve locations out of 127655263862784
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
12/17/09 20:01:37 v1.14 @ ERIK-DATOR, begin with 794933 relations
12/17/09 20:01:37 v1.14 @ ERIK-DATOR, reduce to 155460 relations in 10 passes
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, recovered 155460 relations
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, recovered 132922 polynomials
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, attempting to build 65511 cycles
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, found 65511 cycles in 5 passes
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 1 : 18382
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 2 : 13580
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 3 : 11794
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 4 : 8587
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 5 : 5541
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 6 : 3548
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 7 : 1864
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 9+: 2215
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, largest cycle: 17 relations
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, matrix is 65244 x 65511 (15.5 MB) with weight 3798781 (57.99/col)
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, sparse part has weight 3798781 (57.99/col)
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, filtering completed in 3 passes
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, matrix is 60588 x 60650 (14.5 MB) with weight 3552557 (58.57/col)
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, sparse part has weight 3552557 (58.57/col)
12/17/09 20:02:03 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, matrix is 60540 x 60650 (12.5 MB) with weight 3129931 (51.61/col)
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, sparse part has weight 2911807 (48.01/col)
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, using block size 24260 for processor cache size 2048 kB
12/17/09 20:02:05 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
12/17/09 20:02:05 v1.14 @ ERIK-DATOR, memory use: 10.7 MB
12/17/09 20:02:54 v1.14 @ ERIK-DATOR, lanczos halted after 959 iterations (dim = 60538)
12/17/09 20:02:54 v1.14 @ ERIK-DATOR, recovered 17 nontrivial dependencies
12/17/09 20:02:57 v1.14 @ ERIK-DATOR, prp55 = 1537317554685431513606392745565325440665719944957889313
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, prp36 = 181640374412425783567041523872410101
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 79.7520 seconds.
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 5.3220 seconds.
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, SIQS elapsed time = 3773.2500 seconds.

YAFU

36341235429300947152532358431311731673430180271977943420379116126867369874894462531083591089<92>

775231789371928457084912814154799110990573<42>
46877896298271797921498266587994595101347397988693<50>

Number: 76669_139
N=36341235429300947152532358431311731673430180271977943420379116126867369874894462531083591089
  ( 92 digits)
Divisors found:
 r1=775231789371928457084912814154799110990573 (pp42)
 r2=46877896298271797921498266587994595101347397988693 (pp50)
Version: Msieve v. 1.43
Total time: 2.11 hours.
Scaled time: 1.64 units (timescale=0.777).
Factorization parameters were as follows:
n: 36341235429300947152532358431311731673430180271977943420379116126867369874894462531083591089
# Murphy_E = 3.229128e-008
skew: 555236.39
Y0: -11092746106454675872026
Y1: 708120481289
c0: 29526976497269909000205785
c1: -682708658988982613014
c2: 439706832670957
c3: 2783592832
c4: 2400
type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105343 x 105568
Total sieving time: 2.03 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.11 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

838897288346698676736378991019063509193383444639059360334579951375235148072501160068008255407397685675289825881689960299<120>

2083853324801408599389966838086141184874984236681<49>
402570218528526070940163750097373007378101682310498374715713110986762579<72>

Number: 76669_141
N=838897288346698676736378991019063509193383444639059360334579951375235148072501160068008255407397685675289825881689960299
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2083853324801408599389966838086141184874984236681 (pp49)
 r2=402570218528526070940163750097373007378101682310498374715713110986762579 (pp72)
Version: Msieve v. 1.42
Total time: 0.30 hours.
Scaled time: 0.21 units (timescale=0.682).
Factorization parameters were as follows:
name: 76669_141
n: 838897288346698676736378991019063509193383444639059360334579951375235148072501160068008255407397685675289825881689960299
m: 10000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [825000, 1625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264587 x 264812
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 0.30 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 4 hours 44 min.

728819796216020631469069013156918914136300178569459943687460673644864973048609517087817464282035309952331459120412764004779<123>

71949625685388118004628906184513<32>
10129584265009358087759358380931186887271440274828731755903178974061895680101063464082645483<92>

Number: 76669_142
N=728819796216020631469069013156918914136300178569459943687460673644864973048609517087817464282035309952331459120412764004779
  ( 123 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=71949625685388118004628906184513 (pp32)
 r2=10129584265009358087759358380931186887271440274828731755903178974061895680101063464082645483 (pp92)
Version: Msieve v. 1.42
Total time: 0.36 hours.
Scaled time: 0.24 units (timescale=0.682).
Factorization parameters were as follows:
name: 76669_142
n: 728819796216020631469069013156918914136300178569459943687460673644864973048609517087817464282035309952331459120412764004779
m: 10000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 2160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304107 x 304332
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 0.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 7 hours 28 min.

41833945473448350880238225571747760250081278595496669485943405224873781172003230286373<86>

308224982757838303873874799904859<33>
135725355871998971820929399371563345018944591056562047<54>

12/17/09 19:19:44 v1.14 @ REPGMAIL, starting SIQS on c86: 41833945473448350880238225571747760250081278595496669485943405224873781172003230286373
12/17/09 19:19:44 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/17/09 19:19:44 v1.14 @ REPGMAIL, ==== sieve params ====
12/17/09 19:19:44 v1.14 @ REPGMAIL, n = 86 digits, 286 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, factor base: 57516 primes (max prime = 1506473)
12/17/09 19:19:44 v1.14 @ REPGMAIL, single large prime cutoff: 165712030 (110 * pmax)
12/17/09 19:19:44 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, double large prime cutoff: 623501162502699
12/17/09 19:19:44 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/17/09 19:19:44 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/17/09 19:19:44 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/17/09 19:19:44 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/17/09 19:19:44 v1.14 @ REPGMAIL, using multiplier of 2
12/17/09 19:19:44 v1.14 @ REPGMAIL, using small prime variation correction of 21 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/17/09 19:19:44 v1.14 @ REPGMAIL, trial factoring cutoff at 93 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/17/09 19:27:13 v1.14 @ REPGMAIL, trial division touched 12867503 sieve locations out of 5630374969344
12/17/09 19:27:13 v1.14 @ REPGMAIL, 57789 relations found: 19383 full + 38406 from 538217 partial, using 4772928 polys (383 A polys)
12/17/09 19:27:13 v1.14 @ REPGMAIL, on average, sieving found 0.12 rels/poly and 1243.53 rels/sec
12/17/09 19:27:13 v1.14 @ REPGMAIL, trial division touched 12867503 sieve locations out of 5630374969344
12/17/09 19:27:13 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/17/09 19:27:13 v1.14 @ REPGMAIL, begin with 557600 relations
12/17/09 19:27:13 v1.14 @ REPGMAIL, reduce to 118522 relations in 9 passes
12/17/09 19:27:17 v1.14 @ REPGMAIL, recovered 118522 relations
12/17/09 19:27:17 v1.14 @ REPGMAIL, recovered 88934 polynomials
12/17/09 19:27:17 v1.14 @ REPGMAIL, attempting to build 57789 cycles
12/17/09 19:27:17 v1.14 @ REPGMAIL, found 57789 cycles in 5 passes
12/17/09 19:27:17 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 1 : 19383
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 2 : 15799
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 3 : 10625
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 4 : 6108
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 5 : 3174
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 6 : 1511
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 7 : 662
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 9+: 527
12/17/09 19:27:17 v1.14 @ REPGMAIL, largest cycle: 18 relations
12/17/09 19:27:18 v1.14 @ REPGMAIL, matrix is 57516 x 57789 (11.5 MB) with weight 2782363 (48.15/col)
12/17/09 19:27:18 v1.14 @ REPGMAIL, sparse part has weight 2782363 (48.15/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, filtering completed in 3 passes
12/17/09 19:27:19 v1.14 @ REPGMAIL, matrix is 50686 x 50748 (10.3 MB) with weight 2498924 (49.24/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, sparse part has weight 2498924 (49.24/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/17/09 19:27:19 v1.14 @ REPGMAIL, matrix is 50638 x 50748 (8.4 MB) with weight 2108203 (41.54/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, sparse part has weight 1895287 (37.35/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/17/09 19:27:19 v1.14 @ REPGMAIL, using block size 20299 for processor cache size 6144 kB
12/17/09 19:27:20 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/17/09 19:27:20 v1.14 @ REPGMAIL, memory use: 7.7 MB
12/17/09 19:27:34 v1.14 @ REPGMAIL, lanczos halted after 802 iterations (dim = 50632)
12/17/09 19:27:35 v1.14 @ REPGMAIL, recovered 14 nontrivial dependencies
12/17/09 19:27:35 v1.14 @ REPGMAIL, prp54 = 135725355871998971820929399371563345018944591056562047
12/17/09 19:27:39 v1.14 @ REPGMAIL, prp33 = 308224982757838303873874799904859
12/17/09 19:27:39 v1.14 @ REPGMAIL, Lanczos elapsed time = 21.9690 seconds.
12/17/09 19:27:39 v1.14 @ REPGMAIL, Sqrt elapsed time = 4.4530 seconds.
12/17/09 19:27:39 v1.14 @ REPGMAIL, SIQS elapsed time = 474.8220 seconds.

YAFU v1.14

22284333137696557807714380150601254643820691108661317818097177585095365990161268432870065870725737588261<104>

1576927594338858417099868817129842397<37>
14131487848710943543825233712682918947740417532191773099546602894313<68>

Using B1=3000000, B2=4016636514, polynomial Dickson(12), sigma=3492825937
Step 1 took 33200ms
Step 2 took 30915ms
********** Factor found in step 2: 1576927594338858417099868817129842397
Found probable prime factor of 37 digits: 1576927594338858417099868817129842397
Probable prime cofactor 14131487848710943543825233712682918947740417532191773099
546602894313 has 68 digits

GMP-ECM 5.1 beta

98336924322483579032407034851378302620511330266910455785609961978970022898229418996672597453259627140137314517199269057877978134431<131>

114054106892557668415391191142602492128289512985072581979367367817<66>
862195382539971675145247578782932312167854978994400451566669299943<66>

Number: 76669_153
N=98336924322483579032407034851378302620511330266910455785609961978970022898229418996672597453259627140137314517199269057877978134431
  ( 131 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=114054106892557668415391191142602492128289512985072581979367367817 (pp66)
 r2=862195382539971675145247578782932312167854978994400451566669299943 (pp66)
Version: Msieve-1.40
Total time: 25.27 hours.
Scaled time: 65.99 units (timescale=2.611).
Factorization parameters were as follows:
name: 76669_153
n: 98336924322483579032407034851378302620511330266910455785609961978970022898229418996672597453259627140137314517199269057877978134431
m: 1000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 457151 x 457399
Total sieving time: 24.59 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 25.27 hours.
 --------- CPU info (if available) ----------

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

612468905573257040832921649274812352808645948054167263375657200403718169427152087193971809531603596352554226823096780274805778218243057722729<141>

71611117876317087698878613010731<32>

8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659<109>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4285968214
Step 1 took 6005ms
Step 2 took 3412ms
********** Factor found in step 2: 71611117876317087698878613010731
Found probable prime factor of 32 digits: 71611117876317087698878613010731
Composite cofactor has 109 digits

8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659<109>

85902835310167560827648873059925435838977663<44>
99562568794514489235193540577718954357478783295021658136125073093<65>

Number: 76669_156
N=8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659
  ( 109 digits)
Divisors found:
 r1=85902835310167560827648873059925435838977663 (pp44)
 r2=99562568794514489235193540577718954357478783295021658136125073093 (pp65)
Version: Msieve-1.40
Total time: 14.97 hours.
Scaled time: 33.18 units (timescale=2.217).
Factorization parameters were as follows:
name: 76669_156
n: 8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659
skew: 14171.49
# norm 1.39e+15
c5: 192780
c4: -4869166716
c3: -97997234841645
c2: 1244668547207715500
c1: 15353691215126112812740
c0: -342204545992189699261584
# alpha -6.47
Y1: 417779992619
Y0: -536302760238194126065
# Murphy_E 1.20e-09
# M 5387577242055012184980090030935567881720925372586799010327400600337688928588006122711415643221258662571732443
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 422587 x 422835
Polynomial selection time: 1.36 hours.
Total sieving time: 13.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 14.97 hours.
 --------- CPU info (if available) ----------

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

4352809246033674402278753051157627052735705301275091076926027777389719062867415111620917545456418012346177345840952188864659186809122921518056767<145>

43703197716399164876235332313877197818771581<44>
99599330792225497839357060871151631660324931619195158274416521313577336952099282338375507701644729707<101>

Number: n
N=4352809246033674402278753051157627052735705301275091076926027777389719062867415111620917545456418012346177345840952188864659186809122921518056767
  ( 145 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Jan 29 10:12:17 2010  prp44 factor: 43703197716399164876235332313877197818771581
Fri Jan 29 10:12:17 2010  prp101 factor: 99599330792225497839357060871151631660324931619195158274416521313577336952099282338375507701644729707
Fri Jan 29 10:12:17 2010  elapsed time 00:40:16 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 14.18 hours.
Scaled time: 25.93 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_6_156_9
n: 4352809246033674402278753051157627052735705301275091076926027777389719062867415111620917545456418012346177345840952188864659186809122921518056767
m: 10000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [1550000, 3210000
)
Primes: RFBsize:223492, AFBsize:222900, largePrimes:8106457 encountered
Relations: rels:8149573, finalFF:590963
Max relations in full relation-set: 28
Initial matrix: 446459 x 590963 with sparse part having weight 95442252.
Pruned matrix : 406679 x 408975 with weight 57266228.

Msieve: found 981889 hash collisions in 8961557 relations
Msieve: matrix is 514682 x 514908 (137.7 MB)

Total sieving time: 13.99 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 14.18 hours.
 --------- CPU info (if available) ----------

27334155905451623930455149885099996998364175674630491303609994135500987616496800122873793918735542301347598857953388021163715351657<131>

26282496594439501655069778151181266352072855807554463938921517<62>
1040013676297198427344627421618353790749321742343645089802114906229421<70>

Number: 76669_158
N=27334155905451623930455149885099996998364175674630491303609994135500987616496800122873793918735542301347598857953388021163715351657
  ( 131 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=26282496594439501655069778151181266352072855807554463938921517 (pp62)
 r2=1040013676297198427344627421618353790749321742343645089802114906229421 (pp70)
Version: Msieve-1.40
Total time: 36.02 hours.
Scaled time: 109.50 units (timescale=3.040).
Factorization parameters were as follows:
name: 76669_158
n: 27334155905451623930455149885099996998364175674630491303609994135500987616496800122873793918735542301347598857953388021163715351657
m: 10000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 565891 x 566139
Total sieving time: 35.14 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 36.02 hours.
 --------- CPU info (if available) ----------

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

640034062930645291018561969820609624677230177888622445854343357664918529790748217684910415613744803085529451674496782609057991328477<132>

368103943973771879252164132662857<33>
1738731881058707050264806534423008925023717844327523461553385285115749671181815992247829469491740661<100>

Number: 76669_159
N=640034062930645291018561969820609624677230177888622445854343357664918529790748217684910415613744803085529451674496782609057991328477
  ( 132 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=368103943973771879252164132662857 (pp33)
 r2=1738731881058707050264806534423008925023717844327523461553385285115749671181815992247829469491740661 (pp100)
Version: Msieve v. 1.42
Total time: 1.88 hours.
Scaled time: 1.28 units (timescale=0.682).
Factorization parameters were as follows:
name: 76669_159
n: 640034062930645291018561969820609624677230177888622445854343357664918529790748217684910415613744803085529451674496782609057991328477
m: 10000000000000000000000000000000
deg: 5
c5: 230000
c0: 7
skew: 0.12
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 700517 x 700752
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 1.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 24 hours.

1631205673758865248226950354609929078014184397163120567375886524822695035460992907801418439716312056737588652482269503546099290780141843971631205673758865248227<160>

3387528341784394753967704543371463<34>
481532701479811331066968519301047893465309777695965269558017699159419458591452740108418393250983989339073871460507687477146629<126>

Factor=3387528341784394753967704543371463  Method=ECM  B1=11000000  Sigma=1007895474

ECMNET

1500884027589323223406931298785653019332349366018585780943455146788828382677846367648400775354416357139243403900519757757808013<127>

233872320125176439879328120034821185286384749<45>
6417535973414891157095190706660519005674694098840645830417804704898683577389752737<82>

Number: 76669_161
N=1500884027589323223406931298785653019332349366018585780943455146788828382677846367648400775354416357139243403900519757757808013
  ( 127 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=233872320125176439879328120034821185286384749 (pp45)
 r2=6417535973414891157095190706660519005674694098840645830417804704898683577389752737 (pp82)
Version: Msieve-1.40
Total time: 32.34 hours.
Scaled time: 103.96 units (timescale=3.215).
Factorization parameters were as follows:
name: 76669_161
n: 1500884027589323223406931298785653019332349366018585780943455146788828382677846367648400775354416357139243403900519757757808013
m: 100000000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 640478 x 640726
Total sieving time: 31.33 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 32.34 hours.
 --------- CPU info (if available) ----------

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

640835877171193505909570799186741751255898476078365195154001152660841248357234696382314248074725997<99>

64013227739701992532121841487509355584105169<44>
10010991474715735934391435634543484973338925489091925213<56>

N=640835877171193505909570799186741751255898476078365195154001152660841248357234696382314248074725997
  ( 99 digits)
Divisors found:
 r1=64013227739701992532121841487509355584105169 (pp44)
 r2=10010991474715735934391435634543484973338925489091925213 (pp56)
Version: Msieve-1.40
Total time: 3.10 hours.
Scaled time: 5.92 units (timescale=1.911).
Factorization parameters were as follows:
name: g2
n: 640835877171193505909570799186741751255898476078365195154001152660841248357234696382314248074725997
skew: 4187.39
# norm 6.69e+013
c5: 162000
c4: 823591572
c3: -10480159036984
c2: -16372336581964691
c1: 33022341200042422698
c0: 62147399578411788653208
# alpha -6.66
Y1: 5123874679
Y0: -5241383400599410979
# Murphy_E 4.29e-009
# M 296066992739288474970292205831249542435822206451172388073266454078506277029283152309709397659000735
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, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182036 x 182264
Polynomial selection time: 0.33 hours.
Total sieving time: 2.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.10 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

23938270396907606973567068908546020730970625664831475636434535793760783671495797992767247973116469560667053995562542887186575414169009338294612197060229<152>

2668204985286856259004822153691874058165063675797887531576217<61>
8971675912798740829958365846478773732475105665742916772999469996628940017651778438964530637<91>

Number: 76669_163
N=23938270396907606973567068908546020730970625664831475636434535793760783671495797992767247973116469560667053995562542887186575414169009338294612197060229
  ( 152 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=2668204985286856259004822153691874058165063675797887531576217 (pp61)
 r2=8971675912798740829958365846478773732475105665742916772999469996628940017651778438964530637 (pp91)
Version: Msieve-1.40
Total time: 46.67 hours.
Scaled time: 151.53 units (timescale=3.247).
Factorization parameters were as follows:
name: 76669_163
n: 23938270396907606973567068908546020730970625664831475636434535793760783671495797992767247973116469560667053995562542887186575414169009338294612197060229
m: 100000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 764734 x 764982
Total sieving time: 45.32 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 46.67 hours.
 --------- CPU info (if available) ----------

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

947568244007872645118608259066265352411966464800579788291040219243809103248310229826918881764508708584975668513953734275371211437859<132>

2197010151127183734091998078750992908476203004434274019000349<61>
431298983084679625560736513994687284558221968103065461660331574115708991<72>

Number: 76669_164
N=947568244007872645118608259066265352411966464800579788291040219243809103248310229826918881764508708584975668513953734275371211437859
  ( 132 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2197010151127183734091998078750992908476203004434274019000349 (pp61)
 r2=431298983084679625560736513994687284558221968103065461660331574115708991 (pp72)
Version: Msieve-1.40
Total time: 41.46 hours.
Scaled time: 102.62 units (timescale=2.475).
Factorization parameters were as follows:
name: 76669_164
n: 947568244007872645118608259066265352411966464800579788291040219243809103248310229826918881764508708584975668513953734275371211437859
m: 100000000000000000000000000000000
deg: 5
c5: 230000
c0: 7
skew: 0.12
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, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 707467 x 707715
Total sieving time: 40.09 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 41.46 hours.
 --------- CPU info (if available) ----------

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

376565818858582613184274310444594466782252476074989141586574238587392636331078418155283147655021872815979033106314800112290926820184932456764257479<147>

1039891656293174816193578866528017173<37>
362120242603829564355041224515167353166773030566220361463654070056725212385091370325199414243912863290032412523<111>

Number: 76669_166
N=376565818858582613184274310444594466782252476074989141586574238587392636331078418155283147655021872815979033106314800112290926820184932456764257479
  ( 147 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1039891656293174816193578866528017173 (pp37)
 r2=362120242603829564355041224515167353166773030566220361463654070056725212385091370325199414243912863290032412523 (pp111)
Version: Msieve-1.40
Total time: 45.29 hours.
Scaled time: 125.15 units (timescale=2.763).
Factorization parameters were as follows:
name: 76669_166
n: 376565818858582613184274310444594466782252476074989141586574238587392636331078418155283147655021872815979033106314800112290926820184932456764257479
m: 1000000000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 736595 x 736843
Total sieving time: 43.81 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 45.29 hours.
 --------- CPU info (if available) ----------

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

385846045056454269995362955896565185571400219791251669650069385056968542566727212501938277184921464976522696652938583688227460007<129>

31009516820624210487709856680655109307882381<44>
12442826738913609652566538960911061113363343817849229328026008594216850964081843750147<86>

Number: 76669_167
N=385846045056454269995362955896565185571400219791251669650069385056968542566727212501938277184921464976522696652938583688227460007
  ( 129 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=31009516820624210487709856680655109307882381 (pp44)
 r2=12442826738913609652566538960911061113363343817849229328026008594216850964081843750147 (pp86)
Version: Msieve-1.40
Total time: 68.03 hours.
Scaled time: 163.34 units (timescale=2.401).
Factorization parameters were as follows:
name: 76669_167
n: 385846045056454269995362955896565185571400219791251669650069385056968542566727212501938277184921464976522696652938583688227460007
m: 1000000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 972345 x 972592
Total sieving time: 65.29 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.19 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 68.03 hours.
 --------- CPU info (if available) ----------

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

1020337972122088153238112310791094787876560847803167419204294174823048526936257584451426747580465247976297044779063535153107<124>

17360027425781902601497927750332024444984092449993<50>
58775135954379503034223379909569760637874721284534328034449223492041056699<74>

Number: 76669_168
N=1020337972122088153238112310791094787876560847803167419204294174823048526936257584451426747580465247976297044779063535153107
  ( 124 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=17360027425781902601497927750332024444984092449993 (pp50)
 r2=58775135954379503034223379909569760637874721284534328034449223492041056699 (pp74)
Version: Msieve v. 1.42
Total time: 3.68 hours.
Scaled time: 2.61 units (timescale=0.710).
Factorization parameters were as follows:
name: 76669_168
n: 1020337972122088153238112310791094787876560847803167419204294174823048526936257584451426747580465247976297044779063535153107
m: 1000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 974581 x 974808
Total sieving time: 0.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.34 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 3.68 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time 61 hours.

1736420054037288919136694597018498244227517294852191524948510696165797675982799056891347154012096047003198097620900019<118>

714508530635592657453271729243045371796007<42>
2430229982688453819042750524251722455075158464610175512010863989275011309717<76>

Number: 76669_169
N=1736420054037288919136694597018498244227517294852191524948510696165797675982799056891347154012096047003198097620900019
  ( 118 digits)
Divisors found:
 r1=714508530635592657453271729243045371796007 (pp42)
 r2=2430229982688453819042750524251722455075158464610175512010863989275011309717 (pp76)
Version: Msieve v. 1.42
Total time: 5.77 hours.
Scaled time: 4.59 units (timescale=0.796).
Factorization parameters were as follows:
name: 76669_169
n: 1736420054037288919136694597018498244227517294852191524948510696165797675982799056891347154012096047003198097620900019
skew: 21188.16
# norm 6.06e+15
c5: 56400
c4: -1773870173
c3: -272719280777362
c2: -489474311916792
c1: -367512953193189361206
c0: 11520952970823268273795005
# alpha -5.06
Y1: 3494013102547
Y0: -31453968045870711223526
# Murphy_E 4.25e-10
# M 803593698936569234825027352727318933036714800768029590192237139496671923487973948067088973687276688306675882044802268
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616563 x 616792
Polynomial selection time: 4.10 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 5.77 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 32 hours.

697323763964407471750023705175241551906477731260954423495444797474787700088894163005536729893627650824794398657270050820935382381379256227303196010931759<153>

1209324541599844464884722268112677<34>

576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267<120>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2368373781
Step 1 took 5956ms
********** Factor found in step 1: 1209324541599844464884722268112677
Found probable prime factor of 34 digits: 1209324541599844464884722268112677
Composite cofactor has 120 digits

576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267<120>

785772655682181510313407064347781985044118992990975757647<57>
733828691088364983881117474804037893698341654086395968799088461<63>

Number: 76669_170
N = 576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267 (120 digits)
Divisors found:
r1=785772655682181510313407064347781985044118992990975757647 (pp57)
r2=733828691088364983881117474804037893698341654086395968799088461 (pp63)
Version: Msieve v. 1.43
Total time: 35.03 hours.
Factorization parameters were as follows:
n: 576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267
Y0: -133813329592174385999268
Y1: 7097595166157
c0: -22491978209405324970325670881
c1: 2713541487479831182154168
c2: 30336022906457115726
c3: -1058182706649752
c4: -2657509133
c5: 13440
skew: 107907.44 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2100000, 4000000)
Relations: 10605068
Relations in full relation-set: 1181814 relations
Pruned matrix : 683699 x 683925
Polynomial selection time: 4.28 hours.
Total sieving time: 28.10 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.30 hours.
time per square root: 1.14 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 35.03 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<172>

4436750425986187465984025053041810725999564198504897886339790761662476741609117<79>
1727991419522440951229681184086417251986824633128847294984230317302823105140174764265280991057<94>

Number: s172
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=4436750425986187465984025053041810725999564198504897886339790761662476741609117 (pp79)
 r2=1727991419522440951229681184086417251986824633128847294984230317302823105140174764265280991057 (pp94)
Version: Msieve-1.40
Total time: 57.10 hours.
Scaled time: 106.20 units (timescale=1.860).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 10000000000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 300000Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 951120 x 951354
Total sieving time: 55.42 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 57.10 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1105976713491954176783737460904268523246743344166668661111470777749679565321455482583035693587601083955798979021670275733464876569399<133>

3152728082821405893817880155913037078093217<43>
350799905490804413389570390815128189697914244896886305623811619136166656654234174666674647<90>

Number: 76669_172
N=1105976713491954176783737460904268523246743344166668661111470777749679565321455482583035693587601083955798979021670275733464876569399
  ( 133 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3152728082821405893817880155913037078093217 (pp43)
 r2=350799905490804413389570390815128189697914244896886305623811619136166656654234174666674647 (pp90)
Version: Msieve-1.40
Total time: 93.24 hours.
Scaled time: 313.00 units (timescale=3.357).
Factorization parameters were as follows:
name: 76669_172
n: 1105976713491954176783737460904268523246743344166668661111470777749679565321455482583035693587601083955798979021670275733464876569399
m: 10000000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1088789 x 1089037
Total sieving time: 90.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 93.24 hours.
 --------- CPU info (if available) ----------

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

3128498307210372468126723224475194408965460018471742179094286137896044081901365249456933500367938605261045979403599405313278298967459536955046199758697565348208662675791<169>

16912803878196619535801733115179654337979616677<47>
184978098826269743148854774083645998783943366022575841578729416340725368596718634650124292611968201202286228033887434950883<123>

Number: 76669_173
N=3128498307210372468126723224475194408965460018471742179094286137896044081901365249456933500367938605261045979403599405313278298967459536955046199758697565348208662675791
  ( 169 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=16912803878196619535801733115179654337979616677
 r2=184978098826269743148854774083645998783943366022575841578729416340725368596718634650124292611968201202286228033887434950883
Version: 
Total time: 129.41 hours.
Scaled time: 260.76 units (timescale=2.015).
Factorization parameters were as follows:
n: 3128498307210372468126723224475194408965460018471742179094286137896044081901365249456933500367938605261045979403599405313278298967459536955046199758697565348208662675791
m: 10000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1062494 x 1062742
Total sieving time: 129.41 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 129.41 hours.
 --------- CPU info (if available) ----------

7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<175>

444240274512223391184189972397<30>
17257927987471825366538706665790826361418589218060299312867504255855684436901622976143431044197748470352927787618307769076413151724174827101509377<146>

Factor=444240274512223391184189972397  Method=ECM  B1=11000000  Sigma=3029882105

ECMNET

115782516135300427942247680951712146542406856741285981304647459857446552525241847023105659600409366704874896991315807887608401380731675025660929391291040497200328419624029<171>

4440951561689765651136230532563<31>
26071555730106997293577529687897893539754659993103253003784403244440623632809866944583700570028729845724645120395646201532888970765332455183<140>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 115782516135300427942247680951712146542406856741285981304647459857446552525241847023105659600409366704874896991315807887608401380731675025660929391291040497200328419624029 (171 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=492100966
Step 1 took 18594ms
Step 2 took 12062ms
********** Factor found in step 2: 4440951561689765651136230532563
Found probable prime factor of 31 digits: 4440951561689765651136230532563
Probable prime cofactor 26071555730106997293577529687897893539754659993103253003784403244440623632809866944583700570028729845724645120395646201532888970765332455183 has 140 digits

GMP-ECM 6.2.3

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

307009166092359302704764101498298168103002376117463308733890194567726422263343652845781420419286422599718913086105525991462742502202123355482042433205150332377466968817079<171>

1702595068022887291832582921851<31>

180318369210871168555422749526645312317771464946620007145761328917246571053637898577255143859180717948942336209694187461044204373433243293429<141>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 307009166092359302704764101498298168103002376117463308733890194567726422263343652845781420419286422599718913086105525991462742502202123355482042433205150332377466968817079 (171 digits)
Run 24 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=800075831
Step 1 took 18297ms
Step 2 took 12125ms
********** Factor found in step 2: 1702595068022887291832582921851
Found probable prime factor of 31 digits: 1702595068022887291832582921851
Composite cofactor 180318369210871168555422749526645312317771464946620007145761328917246571053637898577255143859180717948942336209694187461044204373433243293429 has 141 digits

GMP-ECM 6.2.3

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

180318369210871168555422749526645312317771464946620007145761328917246571053637898577255143859180717948942336209694187461044204373433243293429<141>

775541024566754909318549027257813115394367541<45>
232506551554256579228130577364374044094712867300877841681744557534089315371022369803477325919169<96>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1024302797
Step 1 took 65667ms
Step 2 took 24287ms
********** Factor found in step 2: 775541024566754909318549027257813115394367541
Found probable prime factor of 45 digits: 775541024566754909318549027257813115394367541
Probable prime cofactor 232506551554256579228130577364374044094712867300877841681744557534089315371022369803477325919169 has 96 digits

GMP-ECM 6.3

19864051897969862949487606121706579550800034826469998785440959600316535171466319349412734278137189321869534800741626016482052128667879944726462512097<149>

4692914225820121476287131573904443796789569771<46>
4232775401834341631961826298221141840249628839441434753306080174321623926917987999509092164188445604707<103>

Number: 76669_177
N = 19864051897969862949487606121706579550800034826469998785440959600316535171466319349412734278137189321869534800741626016482052128667879944726462512097 (149 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=4692914225820121476287131573904443796789569771 (pp46)
r2=4232775401834341631961826298221141840249628839441434753306080174321623926917987999509092164188445604707 (pp103)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 76.27 hours.
Factorization parameters were as follows:
n: 19864051897969862949487606121706579550800034826469998785440959600316535171466319349412734278137189321869534800741626016482052128667879944726462512097
m: 100000000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
# Murphy_E = 9.459e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18997177
Relations: 2629580 relations
Pruned matrix : 1540069 x 1540297
Polynomial selection time: 0.00 hours.
Total sieving time: 74.44 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.62 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 76.27 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

50230810004241218195323779027003298549677399193581974067902792950054607821572928639402809629554001626573649710159351332220502095503594571987110033171589162064011933777<167>

8778881230489999557458175554683553020714888264174847<52>
149870770902214941312523216976509015651681367999332097<54>
38178078515376194814112644470767216668558893366563074431670703<62>

N=50230810004241218195323779027003298549677399193581974067902792950054607821572928639402809629554001626573649710159351332220502095503594571987110033171589162064011933777
  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=8778881230489999557458175554683553020714888264174847 (pp52)
 r2=149870770902214941312523216976509015651681367999332097 (pp54)
 r3=38178078515376194814112644470767216668558893366563074431670703 (pp62)
Version: Msieve v. 1.47
Total time:
Scaled time: 25.61 units (timescale=1.878).
Factorization parameters were as follows:
n: 50230810004241218195323779027003298549677399193581974067902792950054607821572928639402809629554001626573649710159351332220502095503594571987110033171589162064011933777
m: 100000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor 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, 9480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1482965 x 1483192
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
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:

3940285461374408192427453749587255267399413241102270077980443499011868752499341980791244599856037182845876298748599392311833727646370644826689<142>

36926570913006886208356448945047778972399<41>
106705967111246059960007024134266207113174835803528927419314166467324572952745190789483667847892149711<102>

Number: 76669_180
N = 3940285461374408192427453749587255267399413241102270077980443499011868752499341980791244599856037182845876298748599392311833727646370644826689 (142 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=36926570913006886208356448945047778972399 (pp41)
r2=106705967111246059960007024134266207113174835803528927419314166467324572952745190789483667847892149711 (pp102)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 73.90 hours.
Factorization parameters were as follows:
n: 3940285461374408192427453749587255267399413241102270077980443499011868752499341980791244599856037182845876298748599392311833727646370644826689
m: 1000000000000000000000000000000000000
deg: 5
c5: 23
c0: 7
skew: 0.79
# Murphy_E = 9.666e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19008022
Relations: 2651150 relations
Pruned matrix : 1565244 x 1565469
Polynomial selection time: 0.00 hours.
Total sieving time: 70.12 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.47 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 73.90 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

420456648317559148778516396596164573924772643285262092693588186325365058463044149138495261929136598636555735126179<114>

1270790405418501958621333078058489<34>
84127964669093325055280378649999247<35>
3932845763179007411878043639623353263929725013<46>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 420456648317559148778516396596164573924772643285262092693588186325365058463044149138495261929136598636555735126179 (114 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1700831745
Step 1 took 32636ms
********** Factor found in step 1: 84127964669093325055280378649999247
Found probable prime factor of 35 digits: 84127964669093325055280378649999247
Composite cofactor 4997822661838688571284526957337408818168722444028016695938808181074865700285357 has 79 digits

01/28/10 12:12:18 v1.14 @ ERIK-DATOR, starting SIQS on c79: 4997822661838688571284526957337408818168722444028016695938808181074865700285357
01/28/10 12:12:18 v1.14 @ ERIK-DATOR, random seeds: 0, 3497454108
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, ==== sieve params ====
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, n = 79 digits, 263 bits
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, factor base: 39961 primes (max prime = 1018301)
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, single large prime cutoff: 86555585 (85 * pmax)
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, allocating 11 large prime slices of factor base
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, sieve interval: 10 blocks of size 32768
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, polynomial A has ~ 10 factors
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, using multiplier of 2
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, using small prime variation correction of 21 bits
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x64 sieve scanning
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, trial factoring cutoff at 91 bits
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, trial division touched 3713438 sieve locations out of 6852791500800
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, 40247 relations found: 20141 full + 20106 from 210818 partial, using 10456530 polys (403 A polys)
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 770.73 rels/sec
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, trial division touched 3713438 sieve locations out of 6852791500800
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, begin with 230959 relations
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, reduce to 57711 relations in 2 passes
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, recovered 57711 relations
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, recovered 44316 polynomials
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, attempting to build 40247 cycles
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, found 40247 cycles in 1 passes
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
01/28/10 12:17:21 v1.14 @ ERIK-DATOR,    length 1 : 20141
01/28/10 12:17:21 v1.14 @ ERIK-DATOR,    length 2 : 20106
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, largest cycle: 2 relations
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix is 39961 x 40247 (5.2 MB) with weight 1205638 (29.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, sparse part has weight 1205638 (29.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, filtering completed in 4 passes
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix is 29768 x 29832 (4.2 MB) with weight 983181 (32.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, sparse part has weight 983181 (32.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix is 29720 x 29832 (3.5 MB) with weight 806258 (27.03/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, sparse part has weight 732564 (24.56/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, memory use: 4.6 MB
01/28/10 12:17:31 v1.14 @ ERIK-DATOR, lanczos halted after 471 iterations (dim = 29716)
01/28/10 12:17:31 v1.14 @ ERIK-DATOR, recovered 16 nontrivial dependencies
01/28/10 12:17:31 v1.14 @ ERIK-DATOR, prp34 = 1270790405418501958621333078058489
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, prp46 = 3932845763179007411878043639623353263929725013
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 13.3060 seconds.
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 0.4080 seconds.
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, SIQS elapsed time = 313.3780 seconds.

GMP-ECM, YAFU

716510903426791277258566978193146417445482866043613707165109034267912772585669781931464174454828660436137071651090342679127725856697819314641744548286604361370716510903426791277258567<183>

11449585687127452540919339545943989003363349307498553294033084555022857193<74>
62579635893056864953980738599546980637959518369918789868223700873390860418484565227969239310839929123911398319<110>

Number: 1
N=716510903426791277258566978193146417445482866043613707165109034267912772585669781931464174454828660436137071651090342679127725856697819314641744548286604361370716510903426791277258567
  ( 183 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=11449585687127452540919339545943989003363349307498553294033084555022857193 (pp74)
 r2=62579635893056864953980738599546980637959518369918789868223700873390860418484565227969239310839929123911398319 (pp110)
Version: Msieve-1.40
Total time: 207.01 hours.
Scaled time: 359.98 units (timescale=1.739).
Factorization parameters were as follows:
n: 716510903426791277258566978193146417445482866043613707165109034267912772585669781931464174454828660436137071651090342679127725856697819314641744548286604361370716510903426791277258567
m: 1000000000000000000000000000000000000
deg: 5
c5: 230000
c0: 7
skew: 0.12
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1744378 x 1744603
Total sieving time: 199.74 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.61 hours.
Time per square root: 2.44 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 207.01 hours.

GGNFS, Msieve

4417423213329080348136135067277257461273762184624557031099838028263427918487581513059646782139642117365475879827519682497546597597114281017552952511370460642737281<163>

27257414417780016810839849228117<32>

162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293<132>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3944798300
Step 1 took 17319ms
Step 2 took 7391ms
********** Factor found in step 2: 27257414417780016810839849228117
Found probable prime factor of 32 digits: 27257414417780016810839849228117
Composite cofactor 162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293 has 132 digits

GMP-ECM 6.2.1

162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293<132>

1219689620260440179528880321848361103135018417621244253179<58>
132872474790209970081277501196709800988906687454121162057987913003122721767<75>

N = 162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293 (132 digits)
Divisors found:
r1=1219689620260440179528880321848361103135018417621244253179 (pp58)
r2=132872474790209970081277501196709800988906687454121162057987913003122721767 (pp75)
Version: Msieve v. 1.48
Total time: 50.36 hours.
Factorization parameters were as follows:
n: 162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293
Y0: -32285631996933605311012137
Y1: 218558914362419
c0: -266831377875462421522875635349184
c1: 7030590766590953841766374776
c2: 8090363526531136112202
c3: -10623264150909701
c4: -6418874288
c5: 4620
skew: 1061062.66
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20690036
Relations: 2677620 relations
Pruned matrix : 1539569 x 1539795
Polynomial selection time: 0.00 hours.
Total sieving time: 46.93 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.18 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 50.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

16879177419281592575457892271302464928177131318324221300246816146906195085105679239948371453311146272508359632050297025214677040300317627010006888065263187383374466459664159419<176>

754022491879250406002499658959479<33>
22385509187151188748934179261527218568946009687693222008251911550347771007150772409437811926094165327899982111468045835998211643317341969712861<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2825639589
Step 1 took 28501ms
Step 2 took 14649ms
********** Factor found in step 2: 754022491879250406002499658959479
Found probable prime factor of 33 digits: 754022491879250406002499658959479
Probable prime cofactor 22385509187151188748934179261527218568946009687693222008251911550347771007150772409437811926094165327899982111468045835998211643317341969712861 has 143 digits

GMP-ECM 6.3

218618185882906447533925712690865286930465228458082562343671749336110715606705753650188695624263111391906770999322024614563862229325737<135>

324574029864132891542218374492256335827340413<45>
673554153344986666797212003045721618624363880705036218847024435960667707520369138341403549<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=316571083
Step 1 took 38162ms
Step 2 took 14296ms
********** Factor found in step 2: 324574029864132891542218374492256335827340413
Found probable prime factor of 45 digits: 324574029864132891542218374492256335827340413
Probable prime cofactor 673554153344986666797212003045721618624363880705036218847024435960667707520369138341403549 has 90 digits

31466303940749340076402187339894403123807455377092354286028796474982870076222938696868116689780807670695864667200647612076773566345996900059095778064343125211817465135183775619<176>

1362192050932109519755863303086502670619416977429061<52>
1283062481694203557899579599971779425420066929192522981<55>
18003609555143990685195040254066797909527970387273162562757369540236059<71>

31466303940749340076402187339894403123807455377092354286028796474982870076222938696868116689780807670695864667200647612076773566345996900059095778064343125211817465135183775619=1362192050932109519755863303086502670619416977429061*1283062481694203557899579599971779425420066929192522981*18003609555143990685195040254066797909527970387273162562757369540236059

cado polynomial
n: 31466303940749340076402187339894403123807455377092354286028796474982870076222938696868116689780807670695864667200647612076773566345996900059095778064343125211817465135183775619
skew: 0.50
type: snfs
c0: 7
c5: 230
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 230*x^5+7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11200000
tasks.lim1 = 11200000
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: 18003609555143990685195040254066797909527970387273162562757369540236059 1362192050932109519755863303086502670619416977429061 1283062481694203557899579599971779425420066929192522981
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.89/2.08163
Info:Generate Free Relations: Total cpu/real time for freerel: 102.2/26.3306
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27340175
Info:Lattice Sieving: Average J: 1893.79 for 2348053 special-q, max bucket fill -bkmult 1.0,1s:1.071830
Info:Lattice Sieving: Total time: 564043s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.23/114.383
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.69999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 480.35/445.971
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 385.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 410.43/422.913
Info:Filtering - Merging: Merged matrix has 2190754 rows and total weight 376266773 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 314.94/90.5548
Info:Filtering - Merging: Total cpu/real time for replay: 84.57/72.3129
Info:Linear Algebra: Total cpu/real time for bwc: 84187.9/21608.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13760.57, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 436.94, WCT time 126.9
Info:Linear Algebra: Mksol: WCT time 7511.51, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 78.55/33.0219
Info:Square Root: Total cpu/real time for sqrt: 1142.19/352.319
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.12914e+06/305108
Info:root: Cleaning up computation data in /tmp/cado.9i5i618a
18003609555143990685195040254066797909527970387273162562757369540236059 1362192050932109519755863303086502670619416977429061 1283062481694203557899579599971779425420066929192522981

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

29792745782556081702125641218160980483857002021909136927457903905520331316164663789552230345013678668848274052021485108971191964756368360911598571685599<152>

1298951649006484898198878468347388001<37>
22935992887297488717504462225537005569732700972221783975165750413401614491781210198427766051461210856598165562273599<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1218375904
Step 1 took 47068ms
Step 2 took 16456ms
********** Factor found in step 2: 1298951649006484898198878468347388001
Found probable prime factor of 37 digits: 1298951649006484898198878468347388001
Probable prime cofactor 22935992887297488717504462225537005569732700972221783975165750413401614491781210198427766051461210856598165562273599 has 116 digits

GMP-ECM 6.2.1

457249332964478661066946677015317189880441586886978647394219842139477293891379543386857353646702772547258139639831919796129273004537549554299862745490619897123993<162>

5581272590362678208562936705386944903995511<43>
81925640713915751686561670205119964507254717069932131893962931705205966766908471905573215808423844731713655940811818863<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4187054742
Step 1 took 52074ms
Step 2 took 17724ms
********** Factor found in step 2: 5581272590362678208562936705386944903995511
Found probable prime factor of 43 digits: 5581272590362678208562936705386944903995511
Probable prime cofactor 81925640713915751686561670205119964507254717069932131893962931705205966766908471905573215808423844731713655940811818863 has 119 digits

GMP-ECM 6.2.1

353570037405096613704488407137927256531249496066617883225070956510408848253135731955541611573152849049682908398258400082360297060936765981876830003572133460514013048978781355071311156528975887<192>

141122745745147314234758013452581874058100703525253048246636755252455693788887021<81>
2505407867018166848535065109444429977705308353756104414850079307550121862971787279231140670972774464862795427947<112>

Number: n
N=353570037405096613704488407137927256531249496066617883225070956510408848253135731955541611573152849049682908398258400082360297060936765981876830003572133460514013048978781355071311156528975887
  ( 192 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Apr 16 23:13:53 2010  prp81 factor: 141122745745147314234758013452581874058100703525253048246636755252455693788887021
Fri Apr 16 23:13:53 2010  prp112 factor: 2505407867018166848535065109444429977705308353756104414850079307550121862971787279231140670972774464862795427947
Fri Apr 16 23:13:53 2010  elapsed time 06:50:47 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.075).
Factorization parameters were as follows:
name: KA_7_6_197_9
n: 353570037405096613704488407137927256531249496066617883225070956510408848253135731955541611573152849049682908398258400082360297060936765981876830003572133460514013048978781355071311156528975887
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4833014 hash collisions in 30920506 relations
Msieve: matrix is 2195741 x 2195968 (621.8 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,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
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.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

618326953906673831769802939242228131594978967113596023016585842809573194579708994557612314139522629499557433907748932980531377927761840509055971533485679698197<159>

85370192468029174318437725063650061<35>
7242890475363927761886103214936408221934910821700052294897058412203109885095714819963995039627337352931255716708009565633577<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3816987400
Step 1 took 52344ms
********** Factor found in step 1: 85370192468029174318437725063650061
Found probable prime factor of 35 digits: 85370192468029174318437725063650061
Probable prime cofactor 7242890475363927761886103214936408221934910821700052294897058412203109885095714819963995039627337352931255716708009565633577 has 124 digits

GMP-ECM 6.2.1

529482020590468924700750373822226428839672587235549770952617974348887320249023316553813085454712818933577677553490783437566127027739590828403939818698994456563729<162>

171261049532122865335735325322082473676226214233596685903998031209240326100905437<81>
3091666330651300507756211573540537098889629553011424920273063044233927637269694917<82>

Number: n
N=529482020590468924700750373822226428839672587235549770952617974348887320249023316553813085454712818933577677553490783437566127027739590828403939818698994456563729  ( 162 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Oct 17 21:47:59 2023  prp81 factor: 171261049532122865335735325322082473676226214233596685903998031209240326100905437
Tue Oct 17 21:47:59 2023  prp82 factor: 3091666330651300507756211573540537098889629553011424920273063044233927637269694917
Tue Oct 17 21:47:59 2023  elapsed time 03:34:19 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 23x10^203+7 = 76(202)9
#
n: 529482020590468924700750373822226428839672587235549770952617974348887320249023316553813085454712818933577677553490783437566127027739590828403939818698994456563729
m: 10000000000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
# Murphy_E = 8.346e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3597485 hash collisions in 19069365 relations (15776381 unique)
Msieve: matrix is 2582108 x 2582333 (727.4 MB)

Sieving start time: 2023/10/16 20:40:46
Sieving end time  : 2023/10/17 18:13:16

Total sieving time: 21hrs 32min 30secs.

Total relation processing time: 3hrs 25min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 31sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

245572666508199119334654979882933531309251145807675504278075950016287579901449673888567742457149464852774447989863730729321431009510940950751701242291485603153210328307<168>

573109097854205601094507714074648368885488762978068796780879363185301<69>
428492005148155672205084139433256955556718327189175851781058849555442955260036029257573189494671207<99>

Number: n
N=245572666508199119334654979882933531309251145807675504278075950016287579901449673888567742457149464852774447989863730729321431009510940950751701242291485603153210328307  ( 168 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jan  6 20:42:06 2024  prp69 factor: 573109097854205601094507714074648368885488762978068796780879363185301
Sat Jan  6 20:42:06 2024  prp99 factor: 428492005148155672205084139433256955556718327189175851781058849555442955260036029257573189494671207
Sat Jan  6 20:42:06 2024  elapsed time 02:56:09 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 23x10^204+7 = 76(203)9
#
n: 245572666508199119334654979882933531309251145807675504278075950016287579901449673888567742457149464852774447989863730729321431009510940950751701242291485603153210328307
m: 50000000000000000000000000000000000000000
deg: 5
c5: 368
c0: 35
skew: 0.62
# Murphy_E = 9.454e-12
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3835134 hash collisions in 20922053 relations (17471665 unique)
Msieve: matrix is 2311472 x 2311697 (654.2 MB)

Sieving start time: 2024/01/05 19:57:06
Sieving end time  : 2024/01/06 17:45:28

Total sieving time: 21hrs 48min 22secs.

Total relation processing time: 2hrs 47min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2109146708139281846754744102759190524064571985907889495713929150861264154657213178398949601214213125902922664501324960334576907993876086098914594613929796646060947070813314652514403077583<187>

91925606635330765301090869686819637<35>

22944060804583808092206110440275828754916165170548014508147518173503096387349504969763269731059378184206734076209193778317698946708334885128914127987059<152>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3221016925
Step 1 took 4628ms
Step 2 took 3220ms
********** Factor found in step 2: 91925606635330765301090869686819637
Found probable prime factor of 35 digits: 91925606635330765301090869686819637
Composite cofactor 229440608045... has 152 digits

22944060804583808092206110440275828754916165170548014508147518173503096387349504969763269731059378184206734076209193778317698946708334885128914127987059<152>

1878218266815415824663785777089<31>

12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=926187836
Step 1 took 9237ms
Step 2 took 4256ms
********** Factor found in step 2: 1878218266815415824663785777089
Found probable prime factor of 31 digits: 1878218266815415824663785777089
Composite cofactor 122158650088... has 122 digits

12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731<122>

275065906420485244591770959246283163199586216010150402331<57>
44410683853278205946808682541681830848810651886409347786771251401<65>

N = 12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731 (122 digits)
Divisors found:
r1=275065906420485244591770959246283163199586216010150402331 (pp57)
r2=44410683853278205946808682541681830848810651886409347786771251401 (pp65)
Version: Msieve v. 1.48
Total time: 17.49 hours.
Factorization parameters were as follows:
n: 12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731
Y0: -280142799546042459320491
Y1: 10269905008637
c0: 189087048425979047753579079000
c1: 15666615192868279699210470
c2: 32901095418087903819
c3: -862988762532718
c4: -2825801972
c5: 7080
skew: 194854.99 
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10696202
Relations: 1473076 relations
Pruned matrix : 834258 x 834484
Polynomial selection time: 0.00 hours.
Total sieving time: 16.53 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.81 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 17.49 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

64453042291865946097649108086296869192614067194951223762202608042717604587088196896681691783066910160374730111576818113288665213706814411231707585995199560068491455777838008575077<179>

18462486268540803382871687743110642829119683764531937308145592256886495999067632191028979540259308095055626390943421886391941512773675878143425269523205693420901527034159883344605886702607068179<194>

1778628368738850177049007694078251234016345761510604492787<58>
10380182050976600659225904428368169914494467522172878946754888739592046782069654881276913673594064211654771808028661818163652619095448417<137>

#
# N = 23x10^208+7 = 76(207)9
#
n: 18462486268540803382871687743110642829119683764531937308145592256886495999067632191028979540259308095055626390943421886391941512773675878143425269523205693420901527034159883344605886702607068179
m: 100000000000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
# Murphy_E = 5.136e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 18462486268540803382871687743110642829119683764531937308145592256886495999067632191028979540259308095055626390943421886391941512773675878143425269523205693420901527034159883344605886702607068179 (194 digits)
Using B1=37360000, B2=192391008826, polynomial Dickson(12), sigma=1:3289644065
Step 1 took 119811ms
Step 2 took 37973ms
********** Factor found in step 2: 1778628368738850177049007694078251234016345761510604492787
Found prime factor of 58 digits: 1778628368738850177049007694078251234016345761510604492787
Prime cofactor 10380182050976600659225904428368169914494467522172878946754888739592046782069654881276913673594064211654771808028661818163652619095448417 has 137 digits

63814783953550325799237914097354913856843077687401176922222917096494389327571813120507557933917011353792509775976399837134685655358742695275327839<146>

8908312667595315869249124833233<31>

7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583<115>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=507405060
Step 1 took 3169ms
Step 2 took 2600ms
********** Factor found in step 2: 8908312667595315869249124833233
Found probable prime factor of 31 digits: 8908312667595315869249124833233
Composite cofactor 716350967177... has 115 digits

7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583<115>

35320451752857003816465801177133375711154029<44>
202814780566886316808571388418715663791425425669076122822899703788313227<72>

N = 7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583 (115 digits)
Divisors found:
r1=35320451752857003816465801177133375711154029 (pp44)
r2=202814780566886316808571388418715663791425425669076122822899703788313227 (pp72)
Version: Msieve v. 1.48
Total time: 8.64 hours.
Factorization parameters were as follows:
n: 7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583
Y0: -13969854456621802786862
Y1: 1568501474533
c0: 4745388217729795992644274675
c1: -74851798947500550757230
c2: 1886421476288954561
c3: -268212775184474
c4: -2114700660
c5: 13464
skew: 75422.08  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8684824
Relations: 641188 relations
Pruned matrix : 406893 x 407120
Polynomial selection time: 0.00 hours.
Total sieving time: 8.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 8.64 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

53043340842963579154185495855204380659679336626589303678444818947415719636773486449183316699687853478349419790379284251685014289956026295899782636337658633684596360251784047172290499073<185>

5068803653115158116887309305036100959552863142558453<52>
10464666708951033783933665880239702599600717830831783888696317206570407311450337280976535507140820091799643287476531409395916177992541<134>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Sun Nov 19 19:18:15 2023 
Input number is 53043340842963579154185495855204380659679336626589303678444818947415719636773486449183316699687853478349419790379284251685014289956026295899782636337658633684596360251784047172290499073 (185 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4608MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 77398ms
Computing h took 8492ms
Computing DCT-I of h took 25851ms
Multi-point evaluation 1 of 5:
Computing g_i took 30830ms
Computing g*h took 52632ms
Computing gcd of coefficients and N took 12792ms
Step 2 took 208471ms
********** Factor found in step 2: 5068803653115158116887309305036100959552863142558453
Found prime factor of 52 digits: 5068803653115158116887309305036100959552863142558453
Prime cofactor 10464666708951033783933665880239702599600717830831783888696317206570407311450337280976535507140820091799643287476531409395916177992541 has 134 digits

1080Ti for stage 1

20799205548583501912390916788912443157286373759933594908173210464789787245215861221723758113351459079191314811733969905197060292038061878854299189369112931756948296451737931116173177984028405752417<197>

9464858146995774723889556925252986929<37>

2197518993476446767173751888925965129779805903583825464366001588725493809530076094432257031947741417579409053380271992445710520692481963507333016630949691015473<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=337032821
Step 1 took 16214ms
Step 2 took 5754ms
********** Factor found in step 2: 9464858146995774723889556925252986929
Found probable prime factor of 37 digits: 9464858146995774723889556925252986929
Composite cofactor 

2197518993476446767173751888925965129779805903583825464366001588725493809530076094432257031947741417579409053380271992445710520692481963507333016630949691015473<160>

82497405397689862210573514594719260233<38>
26637431600218337345754627653911646000408470194842479756147811441665744235981101804076998413358558265442741282772694330281<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=199351530
Step 1 took 11004ms
Step 2 took 4571ms
********** Factor found in step 2: 82497405397689862210573514594719260233
Found probable prime factor of 38 digits: 82497405397689862210573514594719260233
Probable prime cofactor 

62733392084518789878321767205110098466877723617949278143222516159985424032726101373343054281567647462338826323695029524243592124940914691042135291924384987735621847476576578788094511400975749725405032690916123<209>

1990418115885649311451573134686051138482402375997<49>
124652521380559084102520710035575862585381810005852256836215074511197789597679<78>
252844428224039867373047326115437109196086968673462634508207895374441295850130219321<84>

Number: n
N=62733392084518789878321767205110098466877723617949278143222516159985424032726101373343054281567647462338826323695029524243592124940914691042135291924384987735621847476576578788094511400975749725405032690916123
  ( 209 digits)
SNFS difficulty: 216 digits.
Divisors found:

Fri Feb 21 07:32:51 2020  found factor: 252844428224039867373047326115437109196086968673462634508207895374441295850130219321
Fri Feb 21 07:44:39 2020  p49 factor: 1990418115885649311451573134686051138482402375997
Fri Feb 21 07:44:39 2020  p78 factor: 124652521380559084102520710035575862585381810005852256836215074511197789597679
Fri Feb 21 07:44:39 2020  p84 factor: 252844428224039867373047326115437109196086968673462634508207895374441295850130219321
Fri Feb 21 07:44:39 2020  elapsed time 06:13:28 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 23x10^214+7 = 76(213)9
#
n: 62733392084518789878321767205110098466877723617949278143222516159985424032726101373343054281567647462338826323695029524243592124940914691042135291924384987735621847476576578788094511400975749725405032690916123
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 368
c0: 35
skew: 0.62
# Murphy_E = 3.145e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 68400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9086032 hash collisions in 59361331 relations (52300353 unique)
Msieve: matrix is 3647499 x 3647724 (1285.5 MB)

Sieving start time: 2020/02/19 17:16:34
Sieving end time  : 2020/02/21 01:29:42

Total sieving time: 32hrs 13min 8secs.

Total relation processing time: 5hrs 37min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 43sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149030] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283244K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420216K reserved, 0K cma-reserved)
[    0.184566] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977268)
[    0.182220] smpboot: Total of 16 processors activated (95818.14 BogoMIPS)

18882610539261274958098170465794089186424610762597661529075116102625323761988526181416028045896583743280636605638217032999078111354137218371310526493248913<155>

84918344247410758316760208908502678259<38>
222361972629218142655874588659125649361279213726620463120176620633416138699699052518463709310838468221803032749452907<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2651533628
Step 1 took 12794ms
Step 2 took 5462ms
********** Factor found in step 2: 84918344247410758316760208908502678259
Found probable prime factor of 38 digits: 84918344247410758316760208908502678259
Probable prime cofactor

75071843704533304211435696270422792954154380993622793674926237121408722210519457780648615569310038564607544285722218900005979083506276574905625912960773264512998494146175389412158365499<185>

1908113392980455355425643899257<31>

39343491838958157124439938011877937103030989138892735213866425890056535027978436529269012276906275142227761166501069801400692681156625296211004012749985107<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2707382240
Step 1 took 68412ms
********** Factor found in step 1: 1908113392980455355425643899257
Found probable prime factor of 31 digits: 1908113392980455355425643899257

148902865088725671864578969687848180624869229814402110936378397414944624634922934570691774491649430310673222480455113784131071081381920362631661589965019892467425852634242178814748003<183>

18499371814243608120619485842627881<35>
62588152182939087360522278707137569<35>
46604276054080550060235323113391925038853473<44>
2759485885432517688240180735114899364183586508571351171136363403405099<70>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=564129433
Step 1 took 70578ms
Step 2 took 26139ms
********** Factor found in step 2: 18499371814243608120619485842627881
Found probable prime factor of 35 digits: 18499371814243608120619485842627881

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=329897346
Step 1 took 48272ms
Step 2 took 20790ms
********** Factor found in step 2: 62588152182939087360522278707137569
Found probable prime factor of 35 digits: 62588152182939087360522278707137569

Mon Jan 23 19:51:43 2012  commencing relation filtering
Mon Jan 23 19:51:43 2012  estimated available RAM is 2006.1 MB
Mon Jan 23 19:51:43 2012  commencing duplicate removal, pass 1
Mon Jan 23 19:54:55 2012  found 1029133 hash collisions in 12067604 relations
Mon Jan 23 19:55:40 2012  added 63055 free relations
Mon Jan 23 19:55:40 2012  commencing duplicate removal, pass 2
Mon Jan 23 19:55:50 2012  found 626424 duplicates and 11504235 unique relations
Mon Jan 23 19:55:50 2012  memory use: 49.3 MB
Mon Jan 23 19:55:51 2012  reading ideals above 720000
Mon Jan 23 19:55:51 2012  commencing singleton removal, initial pass
Mon Jan 23 19:59:41 2012  memory use: 344.5 MB
Mon Jan 23 19:59:41 2012  reading all ideals from disk
Mon Jan 23 19:59:42 2012  memory use: 316.7 MB
Mon Jan 23 19:59:46 2012  keeping 11195592 ideals with weight <= 200, target excess is 121443
Mon Jan 23 19:59:49 2012  commencing in-memory singleton removal
Mon Jan 23 19:59:52 2012  begin with 11504235 relations and 11195592 unique ideals
Mon Jan 23 20:00:20 2012  reduce to 5823643 relations and 4669811 ideals in 14 passes
Mon Jan 23 20:00:20 2012  max relations containing the same ideal: 126
Mon Jan 23 20:00:29 2012  removing 1687104 relations and 1287104 ideals in 400000 cliques
Mon Jan 23 20:00:30 2012  commencing in-memory singleton removal
Mon Jan 23 20:00:31 2012  begin with 4136539 relations and 4669811 unique ideals
Mon Jan 23 20:00:41 2012  reduce to 3875422 relations and 3100382 ideals in 9 passes
Mon Jan 23 20:00:41 2012  max relations containing the same ideal: 97
Mon Jan 23 20:00:47 2012  removing 1240335 relations and 840335 ideals in 400000 cliques
Mon Jan 23 20:00:48 2012  commencing in-memory singleton removal
Mon Jan 23 20:00:48 2012  begin with 2635087 relations and 3100382 unique ideals
Mon Jan 23 20:00:54 2012  reduce to 2398020 relations and 1997529 ideals in 8 passes
Mon Jan 23 20:00:54 2012  max relations containing the same ideal: 65
Mon Jan 23 20:00:57 2012  removing 790903 relations and 531286 ideals in 259617 cliques
Mon Jan 23 20:00:58 2012  commencing in-memory singleton removal
Mon Jan 23 20:00:58 2012  begin with 1607117 relations and 1997529 unique ideals
Mon Jan 23 20:01:02 2012  reduce to 1434117 relations and 1273300 ideals in 10 passes
Mon Jan 23 20:01:02 2012  max relations containing the same ideal: 45
Mon Jan 23 20:01:04 2012  removing 115105 relations and 95162 ideals in 19943 cliques
Mon Jan 23 20:01:04 2012  commencing in-memory singleton removal
Mon Jan 23 20:01:04 2012  begin with 1319012 relations and 1273300 unique ideals
Mon Jan 23 20:01:07 2012  reduce to 1313495 relations and 1172537 ideals in 7 passes
Mon Jan 23 20:01:07 2012  max relations containing the same ideal: 44
Mon Jan 23 20:01:07 2012  relations with 0 large ideals: 1054
Mon Jan 23 20:01:07 2012  relations with 1 large ideals: 10902
Mon Jan 23 20:01:07 2012  relations with 2 large ideals: 70828
Mon Jan 23 20:01:07 2012  relations with 3 large ideals: 221693
Mon Jan 23 20:01:07 2012  relations with 4 large ideals: 373437
Mon Jan 23 20:01:07 2012  relations with 5 large ideals: 355148
Mon Jan 23 20:01:07 2012  relations with 6 large ideals: 201630
Mon Jan 23 20:01:07 2012  relations with 7+ large ideals: 78803
Mon Jan 23 20:01:07 2012  commencing 2-way merge
Mon Jan 23 20:01:09 2012  reduce to 840506 relation sets and 699548 unique ideals
Mon Jan 23 20:01:09 2012  commencing full merge
Mon Jan 23 20:01:33 2012  memory use: 76.4 MB
Mon Jan 23 20:01:33 2012  found 412626 cycles, need 393748
Mon Jan 23 20:01:33 2012  weight of 393748 cycles is about 27785381 (70.57/cycle)
Mon Jan 23 20:01:33 2012  distribution of cycle lengths:
Mon Jan 23 20:01:33 2012  1 relations: 38046
Mon Jan 23 20:01:33 2012  2 relations: 39042
Mon Jan 23 20:01:33 2012  3 relations: 42104
Mon Jan 23 20:01:33 2012  4 relations: 40887
Mon Jan 23 20:01:33 2012  5 relations: 39230
Mon Jan 23 20:01:33 2012  6 relations: 35460
Mon Jan 23 20:01:33 2012  7 relations: 32019
Mon Jan 23 20:01:33 2012  8 relations: 27359
Mon Jan 23 20:01:33 2012  9 relations: 23610
Mon Jan 23 20:01:33 2012  10+ relations: 75991
Mon Jan 23 20:01:33 2012  heaviest cycle: 17 relations
Mon Jan 23 20:01:34 2012  commencing cycle optimization
Mon Jan 23 20:01:35 2012  start with 2380629 relations
Mon Jan 23 20:01:44 2012  pruned 75855 relations
Mon Jan 23 20:01:44 2012  memory use: 75.7 MB
Mon Jan 23 20:01:44 2012  distribution of cycle lengths:
Mon Jan 23 20:01:44 2012  1 relations: 38046
Mon Jan 23 20:01:44 2012  2 relations: 40031
Mon Jan 23 20:01:44 2012  3 relations: 43948
Mon Jan 23 20:01:44 2012  4 relations: 42331
Mon Jan 23 20:01:44 2012  5 relations: 40931
Mon Jan 23 20:01:44 2012  6 relations: 36580
Mon Jan 23 20:01:44 2012  7 relations: 32845
Mon Jan 23 20:01:44 2012  8 relations: 27694
Mon Jan 23 20:01:44 2012  9 relations: 23746
Mon Jan 23 20:01:44 2012  10+ relations: 67596
Mon Jan 23 20:01:44 2012  heaviest cycle: 17 relations
Mon Jan 23 20:01:46 2012  RelProcTime: 603
Mon Jan 23 20:01:46 2012
Mon Jan 23 20:01:46 2012  commencing linear algebra
Mon Jan 23 20:01:46 2012  read 393748 cycles
Mon Jan 23 20:01:47 2012  cycles contain 1231587 unique relations
Mon Jan 23 20:02:12 2012  read 1231587 relations
Mon Jan 23 20:02:15 2012  using 20 quadratic characters above 134217258
Mon Jan 23 20:02:34 2012  building initial matrix
Mon Jan 23 20:03:05 2012  memory use: 157.8 MB
Mon Jan 23 20:03:06 2012  read 393748 cycles
Mon Jan 23 20:03:06 2012  matrix is 393559 x 393748 (117.1 MB) with weight 37105301 (94.24/col)
Mon Jan 23 20:03:06 2012  sparse part has weight 26374502 (66.98/col)
Mon Jan 23 20:03:18 2012  filtering completed in 2 passes
Mon Jan 23 20:03:18 2012  matrix is 392979 x 393167 (117.1 MB) with weight 37074727 (94.30/col)
Mon Jan 23 20:03:18 2012  sparse part has weight 26360194 (67.05/col)
Mon Jan 23 20:03:21 2012  matrix starts at (0, 0)
Mon Jan 23 20:03:21 2012  matrix is 392979 x 393167 (117.1 MB) with weight 37074727 (94.30/col)
Mon Jan 23 20:03:21 2012  sparse part has weight 26360194 (67.05/col)
Mon Jan 23 20:03:21 2012  saving the first 48 matrix rows for later
Mon Jan 23 20:03:21 2012  matrix includes 64 packed rows
Mon Jan 23 20:03:21 2012  matrix is 392931 x 393167 (112.9 MB) with weight 29457101 (74.92/col)
Mon Jan 23 20:03:21 2012  sparse part has weight 25651826 (65.24/col)
Mon Jan 23 20:03:21 2012  using block size 65536 for processor cache size 2048 kB
Mon Jan 23 20:03:25 2012  commencing Lanczos iteration (8 threads)
Mon Jan 23 20:03:25 2012  memory use: 107.2 MB
Mon Jan 23 20:04:00 2012  linear algebra at 3.1%, ETA 0h18m
Mon Jan 23 20:22:13 2012  lanczos halted after 6216 iterations (dim = 392929)
Mon Jan 23 20:22:14 2012  recovered 29 nontrivial dependencies
Mon Jan 23 20:22:14 2012  BLanczosTime: 1228
Mon Jan 23 20:22:14 2012
Mon Jan 23 20:22:14 2012  commencing square root phase
Mon Jan 23 20:22:14 2012  reading relations for dependency 1
Mon Jan 23 20:22:14 2012  read 196772 cycles
Mon Jan 23 20:22:15 2012  cycles contain 615568 unique relations
Mon Jan 23 20:22:29 2012  read 615568 relations
Mon Jan 23 20:22:36 2012  multiplying 615568 relations
Mon Jan 23 20:23:47 2012  multiply complete, coefficients have about 25.35 million bits
Mon Jan 23 20:23:54 2012  initial square root is modulo 19051691
Mon Jan 23 20:25:29 2012  GCD is 1, no factor found
Mon Jan 23 20:25:29 2012  reading relations for dependency 2
Mon Jan 23 20:25:30 2012  read 196732 cycles
Mon Jan 23 20:25:30 2012  cycles contain 615956 unique relations
Mon Jan 23 20:25:45 2012  read 615956 relations
Mon Jan 23 20:25:51 2012  multiplying 615956 relations
Mon Jan 23 20:27:02 2012  multiply complete, coefficients have about 25.36 million bits
Mon Jan 23 20:27:03 2012  initial square root is modulo 19234687
Mon Jan 23 20:28:38 2012  GCD is 1, no factor found
Mon Jan 23 20:28:38 2012  reading relations for dependency 3
Mon Jan 23 20:28:39 2012  read 196381 cycles
Mon Jan 23 20:28:39 2012  cycles contain 614886 unique relations
Mon Jan 23 20:28:54 2012  read 614886 relations
Mon Jan 23 20:29:00 2012  multiplying 614886 relations
Mon Jan 23 20:30:11 2012  multiply complete, coefficients have about 25.32 million bits
Mon Jan 23 20:30:12 2012  initial square root is modulo 18715831
Mon Jan 23 20:31:48 2012  sqrtTime: 574

nfs: commencing gnfs on c114: 128603841972035948285273405669807282256153287892695055567429478701986659754129407974033383224897805237963122058827
nfs: commencing poly selection with 8 threads
nfs: setting deadline of 725 seconds
nfs: completed 94 ranges of size 250 in 724.0942 seconds
nfs: best poly = # norm 8.138636e-11 alpha -7.031626 e 6.647e-10 rroots 3
commencing lattice sieving with 8 threads
commencing lattice sieving with 8 threads
commencing msieve filtering
commencing msieve linear algebra
commencing msieve sqrt
prp44 = 46604276054080550060235323113391925038853473
prp70 = 2759485885432517688240180735114899364183586508571351171136363403405099
NFS elapsed time = 34053.8467 seconds.

810385197122106482272598878211620938300919675236552101830140120969237397147075400413296237240560917482841925270184244647609965776265185048153535563741394832761510546244899<171>

8188766693491257675070338624973161301284371<43>
62750016264164274836256858740563668480619258564767421<53>
1577099735467727306165028975938253297752600381617336825069713572911029833989<76>

Number: 76669_220
N = 810385197122106482272598878211620938300919675236552101830140120969237397147075400413296237240560917482841925270184244647609965776265185048153535563741394832761510546244899 (171 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=8188766693491257675070338624973161301284371 (pp43)
r2=62750016264164274836256858740563668480619258564767421 (pp53)
r3=1577099735467727306165028975938253297752600381617336825069713572911029833989 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.04 hours.
Factorization parameters were as follows:
n: 810385197122106482272598878211620938300919675236552101830140120969237397147075400413296237240560917482841925270184244647609965776265185048153535563741394832761510546244899
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 6557880 relations
Pruned matrix : 6088286 x 6088511
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.44 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 19.48 hours.
time per square root: 0.70 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: 53.04 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

32431383921288207301723221471233120628672980620545019736825243733341334510043543111017418790029639613080731092357630024874532388128191064922791115288189869869506155488817144189496744454351727573917991<200>

3051453696179171682420786471895875833<37>

10628175011109177028757453336672995284838965894081848158112895641957466405924520119937602304933297730251571619637962233519281816471881378421327269790451509252938527<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2431345495
Step 1 took 82850ms
Step 2 took 29206ms
********** Factor found in step 2: 3051453696179171682420786471895875833
Found probable prime factor of 37 digits: 3051453696179171682420786471895875833

10628175011109177028757453336672995284838965894081848158112895641957466405924520119937602304933297730251571619637962233519281816471881378421327269790451509252938527<164>

22929869270530897827908851047923298775063<41>
2581624326962638884491619669326820195310668425754209353<55>
179541179377938681680448199890726664432872049834736350182227375623793<69>

Number: 76669_221
N = 10628175011109177028757453336672995284838965894081848158112895641957466405924520119937602304933297730251571619637962233519281816471881378421327269790451509252938527 (164 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=22929869270530897827908851047923298775063 (pp41)
r2=2581624326962638884491619669326820195310668425754209353 (pp55)
r3=179541179377938681680448199890726664432872049834736350182227375623793 (pp69)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.67 hours.
Factorization parameters were as follows:
n: 10628175011109177028757453336672995284838965894081848158112895641957466405924520119937602304933297730251571619637962233519281816471881378421327269790451509252938527
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 230
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30525432
Relations: 8509860 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.42 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7310769 x 7310994
Matrix solve time: 28.59 hours.
time per square root: 1.31 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 53.67 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2615171087991053274778094125645145901503350895734273274250536845530980958201864048094995923067631039209781856100216530348015655310512521672645850574583814530805660284024275495135838750494327<190>

475447376713491828005955423366443<33>
5500442774694233047190812937246636332171743774593723614786172730912483080009207604888364396964869309152435959204400445717501286157689761033133381991783036389<157>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=910768350
Step 1 took 4612ms
Step 2 took 3228ms
********** Factor found in step 2: 475447376713491828005955423366443
Found probable prime factor of 33 digits: 475447376713491828005955423366443
Probable prime cofactor ((10^222*23+7)/3/79/3881/9561713815446766715600371853)/475447376713491828005955423366443 has 157 digits

615098235685141888048939175387575584578284741066129965749867372986431096857837280815717520921260740249347971867970857102370536477440912908647576478358810634059737953940154545073760747163185857976723318313327072002353<216>

11085558252112916780142113742658038014315992880059229506155772393270351664581913702204284394134295765422333541302754136087451344861451842539538377390092394737478369096187395993952211002295067636587<197>

206718342261863275663421837167<30>
53626389080027232772818136841850908271006726122494170153669866719538677651522801962695858274246743888401704248561631712712268993296255361796611444958428017159212408261<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2421674584
Step 1 took 82804ms
Step 2 took 29311ms
********** Factor found in step 2: 206718342261863275663421837167
Found probable prime factor of 30 digits: 206718342261863275663421837167

397236614853195164075993091537132987910189982728842832469775474956822107081174438687392055267702936096718480138169257340241796200345423143350604490500863557858376511226252158894645941278065630397236614853195164075993091537133<225>

17664637100533135900061987172502058888624942289469<50>
33502913897774673736661953055477551632011917223708842466538419<62>
671215491412532032074314282438333601803897525600016160017718171214879705387772831756004304676171673249492752182603<114>

N=397236614853195164075993091537132987910189982728842832469775474956822107081174438687392055267702936096718480138169257340241796200345423143350604490500863557858376511226252158894645941278065630397236614853195164075993091537133
  ( 225 digits)
SNFS difficulty: 227 digits.
Divisors found:
 r1=17664637100533135900061987172502058888624942289469 (pp50)
 r2=33502913897774673736661953055477551632011917223708842466538419 (pp62)
 r3=671215491412532032074314282438333601803897525600016160017718171214879705387772831756004304676171673249492752182603 (pp114)
Version: Msieve v. 1.51
Total time:
Scaled time: 254.64 units (timescale=1.463).
Factorization parameters were as follows:
n: 397236614853195164075993091537132987910189982728842832469775474956822107081174438687392055267702936096718480138169257340241796200345423143350604490500863557858376511226252158894645941278065630397236614853195164075993091537133
m: 10000000000000000000000000000000000000
deg: 6
c6: 230000
c0: 7
skew: 0.18
type: snfs
lss: 1
rlim: 43000000
alim: 43000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 640000
Factor base limits: 43000000/43000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [21500000, 87420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8906407 x 8906637
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,227.000,6,0,0,0,0,0,0,0,0,43000000,43000000,30,30,59,59,2.7,2.7,100000
total time:

246516613076098606645230439442658092175777063236870310825294748124330117899249732047159699892818863879957127545551982851018220793140407288317256162915326902465166130760986066452304394426580921757770632368703108252947481243301179<228>

935836875386686766999918905824197798837695952691269686665053749876157683015590187650147438226275534091<102>
263418358006290587148909609198876863141741326852010333659790828148204348319155041178950271691547818777776883156461805383437969<126>

Number: n
N=246516613076098606645230439442658092175777063236870310825294748124330117899249732047159699892818863879957127545551982851018220793140407288317256162915326902465166130760986066452304394426580921757770632368703108252947481243301179
  ( 228 digits)
SNFS difficulty: 230 digits.
Divisors found:

Thu Nov  8 17:52:20 2018  p102 factor: 935836875386686766999918905824197798837695952691269686665053749876157683015590187650147438226275534091
Thu Nov  8 17:52:20 2018  p126 factor: 263418358006290587148909609198876863141741326852010333659790828148204348319155041178950271691547818777776883156461805383437969
Thu Nov  8 17:52:20 2018  elapsed time 25:06:08 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 23x10^229+7 = 76(228)9
#
n: 246516613076098606645230439442658092175777063236870310825294748124330117899249732047159699892818863879957127545551982851018220793140407288317256162915326902465166130760986066452304394426580921757770632368703108252947481243301179
m: 100000000000000000000000000000000000000
deg: 6
c6: 230
c0: 7
skew: 0.56
# Murphy_E = 9.506e-13
type: snfs
lss: 1
rlim: 48000000
alim: 48000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 48000000/48000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 114400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 20980727 hash collisions in 111914948 relations (92945080 unique)
Msieve: matrix is 7053951 x 7054176 (2475.8 MB)

Sieving start time: 2018/11/05 04:34:51
Sieving end time  : 2018/11/07 16:42:39

Total sieving time: 60hrs 7min 48secs.

Total relation processing time: 24hrs 8min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 11sec.

Prototype def-par.txt line would be:
snfs,230,6,0,0,0,0,0,0,0,0,48000000,48000000,30,30,59,59,2.7,2.7,100000
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: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

873447401408974154107994330389670809179533968179760430812638011336506535011725044625326204607410940807840593871829126988570125196173061670035574821338224232990276221249622427418688403116990289602693<198>

23684173020524918487425413641407747884577294757771417302691491060322219779910775897456715843908407724999486348299303502587019115135114702192731358361251371052230777007057214421910948835216728665369542931569931219624693<218>

11547056848826762249962758203<29>
2051100408579987801470663573434782982855559949076748142356549571514592853909417673847016972899536815902449870885596017489468903411315362514504427104891208854450122180534168701478938740786831<190>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2777644657
Step 1 took 94937ms
Step 2 took 32782ms
********** Factor found in step 2: 11547056848826762249962758203
Found probable prime factor of 29 digits: 11547056848826762249962758203

264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678161<234>

156469404772670704297686106127483<33>

1689581528580909487784163516158061061977514124372502297529744742163553417874659464260619122382814757145056816786061779099943453064674625238603697347105547629655050123440551470442078403105061678267109667<202>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3669226915
Step 1 took 1848ms
Step 2 took 768ms
********** Factor found in step 2: 156469404772670704297686106127483
Found probable prime factor of 33 digits: 156469404772670704297686106127483
Composite cofactor ((10^234*23+7)/3/29)/156469404772670704297686106127483 has 202 digits

95829040690683326799085643789405573155494347446680311923638108282998170409980303536398143224916479944375914373500072394125356146306157432068513244750044608103090696911<167>

318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384509<237>

301053463327261597059387172841719<33>

1056685896612756456147336702776714649633767138367641208842172789625001213212822797673443470118312434190349537448127850544990081726694293068369542967103865291173320427771437430315651617706122959735347002411<205>

Using B1=250000, B2=258157000, polynomial Dickson(3), sigma=3038092904
Step 1 took 1797ms
Step 2 took 1228ms
********** Factor found in step 2: 301053463327261597059387172841719
Found probable prime factor of 33 digits: 301053463327261597059387172841719
Composite cofactor ((10^238*23+7)/3/241)/301053463327261597059387172841719 has 205 digits

1508274854894122384044812813253932498798298403655009013581687182483551606935703554479215644613720973086474643604488363659494491845807094269145745910771771127815801605460217283387139399352491047077192851301805142692637848124591372274367<235>