29995741075027653585003958776986225169555673026120542765581718340570596425604843110360483<89>

1219491298385716085076638074015566815389<40>
24596929157866137036858482091193628353907400534847<50>

SNFS difficulty: 105 digits.
Divisors found:
 r1=1219491298385716085076638074015566815389 (pp40)
 r2=24596929157866137036858482091193628353907400534847 (pp50)
Version: Msieve v. 1.44 SVN157
Total time: 0.27 hours.
Scaled time: 0.65 units (timescale=2.400).
Factorization parameters were as follows:
c4: 68
c0: -41
m: 100000000000000000000000000
skew: 1
type: snfs
lss: 1
n: 29995741075027653585003958776986225169555673026120542765581718340570596425604843110360483
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [281250, 361251)
Pruned matrix : 36923 x 37154
Total sieving time: 0.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.27 hours.

213517677965359651798636338578008876752544073337846280654399404114864334274283760365706296492826759<99>

894072190013208651293443978613<30>
238814807518177285306701902214891055326157967452167884477203413512843<69>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4100245333
Step 1 took 7252ms
Step 2 took 4064ms
********** Factor found in step 2: 894072190013208651293443978613
Found probable prime factor of 30 digits: 894072190013208651293443978613
Probable prime cofactor has 69 digits

2518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<109>

1007951436257840014703722478246051500193<40>
2498650657088072640392035749835149369157792772913697850301258944896469<70>

SNFS difficulty: 109 digits.
Divisors found:
 r1=1007951436257840014703722478246051500193 (pp40)
 r2=2498650657088072640392035749835149369157792772913697850301258944896469 (pp70)
Version: Msieve v. 1.44 SVN157
Total time: 0.52 hours.
Scaled time: 1.26 units (timescale=2.400).
Factorization parameters were as follows:
n: 2518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
m: 2000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [293750, 493751)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 50272 x 50498
Total sieving time: 0.50 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,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.52 hours.

839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839<111>

490713461048873329138186470584317409<36>
1710786924501943345697249840772477005309394792793479896885711790729024795271<76>

SNFS difficulty: 112 digits.
Divisors found:
 r1=490713461048873329138186470584317409 (pp36)
 r2=1710786924501943345697249840772477005309394792793479896885711790729024795271 (pp76)
Version: Msieve v. 1.44 SVN157
Total time: 0.55 hours.
Scaled time: 1.32 units (timescale=2.400).
Factorization parameters were as follows:
n: 839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839
m: 10000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [331250, 531251)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53227 x 53452
Total sieving time: 0.52 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,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.55 hours.

42058395329302856748555982678684448285323587877262098896368420867466531192794508644386219233543914345849<104>

333997449831259753820683440609596186256762920339<48>
125924300771012935160478043723824767531313398139327105091<57>

Number: n
N=42058395329302856748555982678684448285323587877262098896368420867466531192794508644386219233543914345849
  ( 104 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=333997449831259753820683440609596186256762920339 (pp48)
 r2=125924300771012935160478043723824767531313398139327105091 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.12 hours.
Scaled time: 2.04 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_5_113_1
n: 42058395329302856748555982678684448285323587877262098896368420867466531192794508644386219233543914345849
m: 100000000000000000000000
deg: 5
c5: 34
c0: -205
skew: 1.43
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
qintsize: 50000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 550001)
Primes: RFBsize:49098, AFBsize:49197, largePrimes:1306149 encountered
Relations: rels:1298818, finalFF:162913
Max relations in full relation-set: 48
Initial matrix: 98361 x 162913 with sparse part having weight 8032972.
Pruned matrix : 78797 x 79352 with weight 2865906.
Total sieving time: 1.07 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.12 hours.
 --------- CPU info (if available) ----------

3803709899006866793179568153424366834859009484791078711335046454459323665574328638181833<88>

34532780382054814199867027222353498860857<41>
110147803244464195761021537297140065029831121169<48>

12/13/09 16:32:06 v1.10 @ 조영욱-PC, starting SIQS on c88: 3803709899006866793179568153424366834859009484791078711335046454459323665574328638181833
12/13/09 16:32:06 v1.10 @ 조영욱-PC, random seeds: 1170905327, 2669193264
12/13/09 16:32:07 v1.10 @ 조영욱-PC, ==== sieve params ====
12/13/09 16:32:07 v1.10 @ 조영욱-PC, n = 88 digits, 291 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, factor base: 61083 primes (max prime = 1616803)
12/13/09 16:32:07 v1.10 @ 조영욱-PC, single large prime cutoff: 177848330 (110 * pmax)
12/13/09 16:32:07 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, double large prime cutoff: 708091897184765
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
12/13/09 16:32:07 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/13/09 16:32:07 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
12/13/09 16:32:07 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using multiplier of 1
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using small prime variation correction of 17 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/13/09 16:32:07 v1.10 @ 조영욱-PC, trial factoring cutoff at 100 bits
12/13/09 16:32:07 v1.10 @ 조영욱-PC, ==== sieving started ====
12/13/09 17:08:26 v1.10 @ 조영욱-PC, sieve time = 1059.0880, relation time = 331.8220, poly_time = 788.1500
12/13/09 17:08:26 v1.10 @ 조영욱-PC, 61186 relations found: 20399 full + 40787 from 541207 partial, using 423346 polys (413 A polys)
12/13/09 17:08:26 v1.10 @ 조영욱-PC, on average, sieving found 1.33 rels/poly and 257.62 rels/sec
12/13/09 17:08:26 v1.10 @ 조영욱-PC, trial division touched 10182730 sieve locations out of 499399262208
12/13/09 17:08:26 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/13/09 17:08:26 v1.10 @ 조영욱-PC, begin with 561606 relations
12/13/09 17:08:27 v1.10 @ 조영욱-PC, reduce to 123607 relations in 9 passes
12/13/09 17:08:27 v1.10 @ 조영욱-PC, failed to read relation 54067
12/13/09 17:08:28 v1.10 @ 조영욱-PC, recovered 123606 relations
12/13/09 17:08:28 v1.10 @ 조영욱-PC, recovered 107337 polynomials
12/13/09 17:08:28 v1.10 @ 조영욱-PC, attempting to build 61185 cycles
12/13/09 17:08:28 v1.10 @ 조영욱-PC, found 61185 cycles in 4 passes
12/13/09 17:08:28 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 1 : 20399
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 2 : 17522
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 3 : 11422
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 4 : 6306
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 5 : 3105
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 6 : 1417
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 7 : 612
12/13/09 17:08:28 v1.10 @ 조영욱-PC,    length 9+: 402
12/13/09 17:08:28 v1.10 @ 조영욱-PC, largest cycle: 14 relations
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix is 61083 x 61185 (12.7 MB) with weight 2845786 (46.51/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, sparse part has weight 2845786 (46.51/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, filtering completed in 4 passes
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix is 54561 x 54625 (11.6 MB) with weight 2598928 (47.58/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, sparse part has weight 2598928 (47.58/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix is 54513 x 54625 (8.3 MB) with weight 2093151 (38.32/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, sparse part has weight 1624518 (29.74/col)
12/13/09 17:08:28 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/13/09 17:08:28 v1.10 @ 조영욱-PC, using block size 21850 for processor cache size 4096 kB
12/13/09 17:08:29 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/13/09 17:08:29 v1.10 @ 조영욱-PC, memory use: 7.5 MB
12/13/09 17:08:40 v1.10 @ 조영욱-PC, lanczos halted after 863 iterations (dim = 54511)
12/13/09 17:08:40 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
12/13/09 17:08:41 v1.10 @ 조영욱-PC, prp48 = 110147803244464195761021537297140065029831121169
12/13/09 17:08:42 v1.10 @ 조영욱-PC, prp41 = 34532780382054814199867027222353498860857
12/13/09 17:08:42 v1.10 @ 조영욱-PC, Lanczos elapsed time = 14.0090 seconds.
12/13/09 17:08:42 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.5600 seconds.
12/13/09 17:08:42 v1.10 @ 조영욱-PC, SIQS elapsed time = 2195.5280 seconds.
12/13/09 17:08:42 v1.10 @ 조영욱-PC, 
12/13/09 17:08:42 v1.10 @ 조영욱-PC, 

YAFU v1.10

Core 2 Quad Q6600

2334026502866772331445982526031065272433160759815583268239268004709042534418333865096547441<91>

693993837679896534923644341171069837383<39>
3363180443604080019397353045243304202704788434190727<52>

12/13/09 17:12:04 v1.10 @ 조영욱-PC, starting SIQS on c91: 2334026502866772331445982526031065272433160759815583268239268004709042534418333865096547441
12/13/09 17:12:04 v1.10 @ 조영욱-PC, random seeds: 2799027576, 3905644624
12/13/09 17:12:05 v1.10 @ 조영욱-PC, ==== sieve params ====
12/13/09 17:12:05 v1.10 @ 조영욱-PC, n = 91 digits, 303 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, factor base: 68495 primes (max prime = 1836641)
12/13/09 17:12:05 v1.10 @ 조영욱-PC, single large prime cutoff: 220396920 (120 * pmax)
12/13/09 17:12:05 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, double large prime cutoff: 1041765420895216
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
12/13/09 17:12:05 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/13/09 17:12:05 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
12/13/09 17:12:05 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using multiplier of 5
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/13/09 17:12:05 v1.10 @ 조영욱-PC, trial factoring cutoff at 96 bits
12/13/09 17:12:05 v1.10 @ 조영욱-PC, ==== sieving started ====
12/13/09 18:14:06 v1.10 @ 조영욱-PC, sieve time = 1746.3940, relation time = 734.7870, poly_time = 1239.4730
12/13/09 18:14:06 v1.10 @ 조영욱-PC, 68571 relations found: 18616 full + 49955 from 860287 partial, using 569705 polys (278 A polys)
12/13/09 18:14:06 v1.10 @ 조영욱-PC, on average, sieving found 1.54 rels/poly and 236.14 rels/sec
12/13/09 18:14:06 v1.10 @ 조영욱-PC, trial division touched 32698597 sieve locations out of 821396111360
12/13/09 18:14:06 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/13/09 18:14:07 v1.10 @ 조영욱-PC, begin with 878903 relations
12/13/09 18:14:07 v1.10 @ 조영욱-PC, reduce to 165407 relations in 10 passes
12/13/09 18:14:08 v1.10 @ 조영욱-PC, failed to read relation 141413
12/13/09 18:14:09 v1.10 @ 조영욱-PC, recovered 165406 relations
12/13/09 18:14:09 v1.10 @ 조영욱-PC, recovered 143655 polynomials
12/13/09 18:14:09 v1.10 @ 조영욱-PC, attempting to build 68570 cycles
12/13/09 18:14:09 v1.10 @ 조영욱-PC, found 68570 cycles in 4 passes
12/13/09 18:14:09 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 1 : 18616
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 2 : 13854
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 3 : 12332
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 4 : 9209
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 5 : 6111
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 6 : 3763
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 7 : 2224
12/13/09 18:14:09 v1.10 @ 조영욱-PC,    length 9+: 2461
12/13/09 18:14:09 v1.10 @ 조영욱-PC, largest cycle: 19 relations
12/13/09 18:14:09 v1.10 @ 조영욱-PC, matrix is 68495 x 68570 (17.5 MB) with weight 4049507 (59.06/col)
12/13/09 18:14:09 v1.10 @ 조영욱-PC, sparse part has weight 4049507 (59.06/col)
12/13/09 18:14:09 v1.10 @ 조영욱-PC, filtering completed in 3 passes
12/13/09 18:14:09 v1.10 @ 조영욱-PC, matrix is 64145 x 64208 (16.6 MB) with weight 3838689 (59.79/col)
12/13/09 18:14:09 v1.10 @ 조영욱-PC, sparse part has weight 3838689 (59.79/col)
12/13/09 18:14:10 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/13/09 18:14:10 v1.10 @ 조영욱-PC, matrix is 64097 x 64208 (11.3 MB) with weight 3041038 (47.36/col)
12/13/09 18:14:10 v1.10 @ 조영욱-PC, sparse part has weight 2315710 (36.07/col)
12/13/09 18:14:10 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/13/09 18:14:10 v1.10 @ 조영욱-PC, using block size 25683 for processor cache size 4096 kB
12/13/09 18:14:10 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/13/09 18:14:10 v1.10 @ 조영욱-PC, memory use: 9.9 MB
12/13/09 18:14:28 v1.10 @ 조영욱-PC, lanczos halted after 1016 iterations (dim = 64097)
12/13/09 18:14:28 v1.10 @ 조영욱-PC, recovered 18 nontrivial dependencies
12/13/09 18:14:30 v1.10 @ 조영욱-PC, prp52 = 3363180443604080019397353045243304202704788434190727
12/13/09 18:14:32 v1.10 @ 조영욱-PC, prp39 = 693993837679896534923644341171069837383
12/13/09 18:14:32 v1.10 @ 조영욱-PC, Lanczos elapsed time = 22.0890 seconds.
12/13/09 18:14:32 v1.10 @ 조영욱-PC, Sqrt elapsed time = 3.6660 seconds.
12/13/09 18:14:32 v1.10 @ 조영욱-PC, SIQS elapsed time = 3747.7380 seconds.
12/13/09 18:14:32 v1.10 @ 조영욱-PC, 
12/13/09 18:14:32 v1.10 @ 조영욱-PC, 

YAFU v1.10

Core 2 Quad Q6600

12720052729742606071376255874676753059000774246060165339703830758816106561742812070410938974039927844070430817<110>

7522650767954371464658123338883<31>
1690900338472253717843974265424623024998093155324732145561110307961542934925899<79>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 12720052729742606071376255874676753059000774246060165339703830758816106561742812070410938974039927844070430817 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7746665774
Step 1 took 3463ms
Step 2 took 3776ms
********** Factor found in step 2: 7522650767954371464658123338883
Found probable prime factor of 31 digits: 7522650767954371464658123338883
Probable prime cofactor 1690900338472253717843974265424623024998093155324732145561110307961542934925899 has 79 digits

Core 2 Quad Q6600

1358233337748190901605136788947794869526437745266105904453441981294278644002074637506547408746159417968092394414031303<118>

134509083086339760880041377384167466787761390470732873<54>
10097707207448267830934383611435301631763864956190969829855808911<65>

Number: 75551_124
N=1358233337748190901605136788947794869526437745266105904453441981294278644002074637506547408746159417968092394414031303
  ( 118 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=134509083086339760880041377384167466787761390470732873 (pp54)
 r2=10097707207448267830934383611435301631763864956190969829855808911 (pp65)
Version: Msieve-1.40
Total time: 2.65 hours.
Scaled time: 5.30 units (timescale=2.000).
Factorization parameters were as follows:
name: 75551_124
n: 1358233337748190901605136788947794869526437745266105904453441981294278644002074637506547408746159417968092394414031303
m: 2000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 790001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144439 x 144679
Total sieving time: 2.45 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.65 hours.
 --------- CPU info (if available) ----------

629965752462500244411755920304594721110450811886953027877206783027562086509752461510463877026561351<99>

104832014910643936866343141389359887599647<42>
6009287840164729715877654115282117404072734705183137859033<58>

Sun Dec 13 21:19:36 2009  Msieve v. 1.42
Sun Dec 13 21:19:36 2009  random seeds: 4eb821a4 a5b6dbf8
Sun Dec 13 21:19:36 2009  factoring 629965752462500244411755920304594721110450811886953027877206783027562086509752461510463877026561351 (99 digits)
Sun Dec 13 21:19:37 2009  searching for 15-digit factors
Sun Dec 13 21:19:38 2009  commencing quadratic sieve (99-digit input)
Sun Dec 13 21:19:38 2009  using multiplier of 1
Sun Dec 13 21:19:38 2009  using 32kb Intel Core sieve core
Sun Dec 13 21:19:38 2009  sieve interval: 36 blocks of size 32768
Sun Dec 13 21:19:38 2009  processing polynomials in batches of 6
Sun Dec 13 21:19:38 2009  using a sieve bound of 2632339 (96471 primes)
Sun Dec 13 21:19:38 2009  using large prime bound of 394850850 (28 bits)
Sun Dec 13 21:19:38 2009  using double large prime bound of 2975633911281600 (43-52 bits)
Sun Dec 13 21:19:38 2009  using trial factoring cutoff of 52 bits
Sun Dec 13 21:19:38 2009  polynomial 'A' values have 13 factors
Mon Dec 14 07:13:00 2009  96785 relations (22492 full + 74293 combined from 1461184 partial), need 96567
Mon Dec 14 07:13:03 2009  begin with 1483676 relations
Mon Dec 14 07:13:04 2009  reduce to 257448 relations in 11 passes
Mon Dec 14 07:13:04 2009  attempting to read 257448 relations
Mon Dec 14 07:13:09 2009  recovered 257448 relations
Mon Dec 14 07:13:09 2009  recovered 248142 polynomials
Mon Dec 14 07:13:09 2009  attempting to build 96785 cycles
Mon Dec 14 07:13:09 2009  found 96785 cycles in 6 passes
Mon Dec 14 07:13:09 2009  distribution of cycle lengths:
Mon Dec 14 07:13:09 2009     length 1 : 22492
Mon Dec 14 07:13:09 2009     length 2 : 16333
Mon Dec 14 07:13:09 2009     length 3 : 16143
Mon Dec 14 07:13:09 2009     length 4 : 13204
Mon Dec 14 07:13:09 2009     length 5 : 10086
Mon Dec 14 07:13:09 2009     length 6 : 7088
Mon Dec 14 07:13:09 2009     length 7 : 4658
Mon Dec 14 07:13:09 2009     length 9+: 6781
Mon Dec 14 07:13:09 2009  largest cycle: 25 relations
Mon Dec 14 07:13:10 2009  matrix is 96471 x 96785 (26.6 MB) with weight 6591370 (68.10/col)
Mon Dec 14 07:13:10 2009  sparse part has weight 6591370 (68.10/col)
Mon Dec 14 07:13:11 2009  filtering completed in 3 passes
Mon Dec 14 07:13:11 2009  matrix is 92862 x 92926 (25.6 MB) with weight 6344118 (68.27/col)
Mon Dec 14 07:13:11 2009  sparse part has weight 6344118 (68.27/col)
Mon Dec 14 07:13:11 2009  saving the first 48 matrix rows for later
Mon Dec 14 07:13:11 2009  matrix is 92814 x 92926 (15.5 MB) with weight 4996132 (53.76/col)
Mon Dec 14 07:13:11 2009  sparse part has weight 3495382 (37.61/col)
Mon Dec 14 07:13:12 2009  matrix includes 64 packed rows
Mon Dec 14 07:13:12 2009  using block size 37170 for processor cache size 1024 kB
Mon Dec 14 07:13:12 2009  commencing Lanczos iteration
Mon Dec 14 07:13:12 2009  memory use: 16.0 MB
Mon Dec 14 07:14:15 2009  lanczos halted after 1469 iterations (dim = 92810)
Mon Dec 14 07:14:16 2009  recovered 14 nontrivial dependencies
Mon Dec 14 07:14:17 2009  prp42 factor: 104832014910643936866343141389359887599647
Mon Dec 14 07:14:17 2009  prp58 factor: 6009287840164729715877654115282117404072734705183137859033
Mon Dec 14 07:14:17 2009  elapsed time 09:54:41

4954940429873285846004037959569307310974025261223476931270036000767248081276571677583695407987754373710731881<109>

2168385789520885323592002973154798753361401333233<49>
2285082504146138317270373988148621575643144140324925007627257<61>

Number: 75551_126
N=4954940429873285846004037959569307310974025261223476931270036000767248081276571677583695407987754373710731881
  ( 109 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=2168385789520885323592002973154798753361401333233 (pp49)
 r2=2285082504146138317270373988148621575643144140324925007627257 (pp61)
Version: Msieve-1.40
Total time: 2.30 hours.
Scaled time: 4.79 units (timescale=2.085).
Factorization parameters were as follows:
name: 75551_126
n: 4954940429873285846004037959569307310974025261223476931270036000767248081276571677583695407987754373710731881
m: 10000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 775001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145579 x 145827
Total sieving time: 2.13 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 2.30 hours.
 --------- CPU info (if available) ----------

18270957934982272959259478432488575544300788306364705919210711590286972123621551472888331313643729<98>

34364227725649240817067390053<29>
53175703139543086944405198143<29>
9998652804651218056314025782798260070851<40>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1271878404
Step 1 took 7553ms
Step 2 took 4068ms
********** Factor found in step 2: 53175703139543086944405198143
Found probable prime factor of 29 digits: 53175703139543086944405198143
Composite cofactor has 69 digits

Input number is 18270957934982272959259478432488575544300788306364705919210711590286972123621551472888331313643729 (98 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1343956971
Step 1 took 7161ms
Step 2 took 3960ms
********** Factor found in step 2: 34364227725649240817067390053
Found probable prime factor of 29 digits: 34364227725649240817067390053

818048432642492312825176391448402735182696250821329401587176489745428307949924449572247<87>

2737841057306658717210311098427<31>
298793251879729100538739305699668971422640914787280856661<57>

12/13/09 16:02:35 v1.10 @ 조영욱-PC, starting SIQS on c87: 818048432642492312825176391448402735182696250821329401587176489745428307949924449572247
12/13/09 16:02:35 v1.10 @ 조영욱-PC, random seeds: 3158097181, 843817604
12/13/09 16:02:36 v1.10 @ 조영욱-PC, ==== sieve params ====
12/13/09 16:02:36 v1.10 @ 조영욱-PC, n = 87 digits, 290 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, factor base: 59894 primes (max prime = 1570097)
12/13/09 16:02:36 v1.10 @ 조영욱-PC, single large prime cutoff: 172710670 (110 * pmax)
12/13/09 16:02:36 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, double large prime cutoff: 671698694327176
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
12/13/09 16:02:36 v1.10 @ 조영욱-PC, buckets hold 1024 elements
12/13/09 16:02:36 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
12/13/09 16:02:36 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using multiplier of 2
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using small prime variation correction of 20 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
12/13/09 16:02:36 v1.10 @ 조영욱-PC, trial factoring cutoff at 96 bits
12/13/09 16:02:36 v1.10 @ 조영욱-PC, ==== sieving started ====
12/13/09 16:28:36 v1.10 @ 조영욱-PC, sieve time = 715.4150, relation time = 331.7410, poly_time = 512.5390
12/13/09 16:28:36 v1.10 @ 조영욱-PC, 59960 relations found: 19502 full + 40458 from 551248 partial, using 275738 polys (269 A polys)
12/13/09 16:28:36 v1.10 @ 조영욱-PC, on average, sieving found 2.07 rels/poly and 365.77 rels/sec
12/13/09 16:28:36 v1.10 @ 조영욱-PC, trial division touched 13368403 sieve locations out of 325273780224
12/13/09 16:28:36 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
12/13/09 16:28:36 v1.10 @ 조영욱-PC, begin with 570750 relations
12/13/09 16:28:36 v1.10 @ 조영욱-PC, reduce to 124129 relations in 9 passes
12/13/09 16:28:37 v1.10 @ 조영욱-PC, recovered 124129 relations
12/13/09 16:28:37 v1.10 @ 조영욱-PC, recovered 99998 polynomials
12/13/09 16:28:37 v1.10 @ 조영욱-PC, attempting to build 59960 cycles
12/13/09 16:28:37 v1.10 @ 조영욱-PC, found 59960 cycles in 6 passes
12/13/09 16:28:37 v1.10 @ 조영욱-PC, distribution of cycle lengths:
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 1 : 19502
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 2 : 16271
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 3 : 11173
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 4 : 6439
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 5 : 3497
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 6 : 1688
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 7 : 758
12/13/09 16:28:37 v1.10 @ 조영욱-PC,    length 9+: 632
12/13/09 16:28:37 v1.10 @ 조영욱-PC, largest cycle: 16 relations
12/13/09 16:28:37 v1.10 @ 조영욱-PC, matrix is 59894 x 59960 (13.1 MB) with weight 2945380 (49.12/col)
12/13/09 16:28:37 v1.10 @ 조영욱-PC, sparse part has weight 2945380 (49.12/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, filtering completed in 4 passes
12/13/09 16:28:38 v1.10 @ 조영욱-PC, matrix is 53222 x 53286 (11.8 MB) with weight 2672822 (50.16/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, sparse part has weight 2672822 (50.16/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
12/13/09 16:28:38 v1.10 @ 조영욱-PC, matrix is 53174 x 53286 (8.4 MB) with weight 2131376 (40.00/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, sparse part has weight 1674370 (31.42/col)
12/13/09 16:28:38 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
12/13/09 16:28:38 v1.10 @ 조영욱-PC, using block size 21314 for processor cache size 4096 kB
12/13/09 16:28:38 v1.10 @ 조영욱-PC, commencing Lanczos iteration
12/13/09 16:28:38 v1.10 @ 조영욱-PC, memory use: 7.5 MB
12/13/09 16:28:49 v1.10 @ 조영욱-PC, lanczos halted after 842 iterations (dim = 53171)
12/13/09 16:28:49 v1.10 @ 조영욱-PC, recovered 16 nontrivial dependencies
12/13/09 16:28:51 v1.10 @ 조영욱-PC, prp57 = 298793251879729100538739305699668971422640914787280856661
12/13/09 16:28:51 v1.10 @ 조영욱-PC, prp31 = 2737841057306658717210311098427
12/13/09 16:28:51 v1.10 @ 조영욱-PC, Lanczos elapsed time = 13.7280 seconds.
12/13/09 16:28:51 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.8880 seconds.
12/13/09 16:28:51 v1.10 @ 조영욱-PC, SIQS elapsed time = 1576.0030 seconds.
12/13/09 16:28:51 v1.10 @ 조영욱-PC, 
12/13/09 16:28:51 v1.10 @ 조영욱-PC, 

YAFU v1.10

Core 2 Quad Q6600

654590259593417765323944837115022385143444623850744621666113724888551685839988859703266523459509353<99>

65828579710371249588047984796227037042501776203<47>
9943861199397675884477351880290014463455082068241051<52>

Number: 75551_133
N=654590259593417765323944837115022385143444623850744621666113724888551685839988859703266523459509353
  ( 99 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=65828579710371249588047984796227037042501776203 (pp47)
 r2=9943861199397675884477351880290014463455082068241051 (pp52)
Version: Msieve-1.40
Total time: 4.55 hours.
Scaled time: 9.50 units (timescale=2.085).
Factorization parameters were as follows:
name: 75551_133
n: 654590259593417765323944837115022385143444623850744621666113724888551685839988859703266523459509353
m: 200000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1220001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204050 x 204298
Total sieving time: 4.29 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 4.55 hours.
 --------- CPU info (if available) ----------

6846419765984537618101995720679356004907449654096375885744847108034751324458555189438929215856857381704593424344798894479523239<127>

1708072995693845187847890294158793372992730136343<49>
4008271182346875021369471912260587784241104960646929039911381637642429568831473<79>

N=6846419765984537618101995720679356004907449654096375885744847108034751324458555189438929215856857381704593424344798894479523239
  ( 127 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1708072995693845187847890294158793372992730136343 (pp49)
 r2=4008271182346875021369471912260587784241104960646929039911381637642429568831473 (pp79)
Version: Msieve-1.40
Total time: 4.22 hours.
Scaled time: 8.04 units (timescale=1.905).
Factorization parameters were as follows:
n: 6846419765984537618101995720679356004907449654096375885744847108034751324458555189438929215856857381704593424344798894479523239
m: 1000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1495001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168089 x 168314
Total sieving time: 4.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 4.22 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

25287512007730180440331763459094413686105338359406603987718124220534323648253614342533793796371708411<101>

181326086978689447388189009200639340728847<42>
139458764202539283672117846442259581514338059678176104912213<60>

Number: 75551_136
N=25287512007730180440331763459094413686105338359406603987718124220534323648253614342533793796371708411
  ( 101 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=181326086978689447388189009200639340728847 (pp42)
 r2=139458764202539283672117846442259581514338059678176104912213 (pp60)
Version: Msieve v. 1.42
Total time: 0.16 hours.
Scaled time: 0.13 units (timescale=0.796).
Factorization parameters were as follows:
name: 75551_136
n: 25287512007730180440331763459094413686105338359406603987718124220534323648253614342533793796371708411
m: 1000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196507 x 196734
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 4 hours.

1819659505319461587167496116262275636870772186566922955290666967512874577913658754479211365347032761992684206423096943337<121>

11410900863836166592220488321239541570811<41>
159466770155403882014625840449690972139449148893901469976263858019351462850409067<81>

N=1819659505319461587167496116262275636870772186566922955290666967512874577913658754479211365347032761992684206423096943337
  ( 121 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=11410900863836166592220488321239541570811 (pp41)
 r2=159466770155403882014625840449690972139449148893901469976263858019351462850409067 (pp81)
Version: Msieve-1.40
Total time: 5.40 hours.
Scaled time: 10.19 units (timescale=1.888).
Factorization parameters were as follows:
n: 1819659505319461587167496116262275636870772186566922955290666967512874577913658754479211365347032761992684206423096943337
m: 2000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214144 x 214369
Total sieving time: 5.26 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 5.40 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

14156197750554683790147026237153098492357917675483143856926387225621787416644308258645266789658964485380813320181708505491379477073<131>

26314862340375890781828977363194955018961042928123<50>
537954467230265270119267925540183493428275358501670203932591652282443058644303651<81>

N=14156197750554683790147026237153098492357917675483143856926387225621787416644308258645266789658964485380813320181708505491379477073
  ( 131 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=26314862340375890781828977363194955018961042928123 (pp50)
 r2=537954467230265270119267925540183493428275358501670203932591652282443058644303651 (pp81)
Version: Msieve-1.40
Total time: 6.06 hours.
Scaled time: 11.27 units (timescale=1.860).
Factorization parameters were as follows:
n: 14156197750554683790147026237153098492357917675483143856926387225621787416644308258645266789658964485380813320181708505491379477073
m: 2000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255672 x 255897
Total sieving time: 5.92 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:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 6.06 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

21602584236507048793078528427619328574849069639901071407067296022517802018044160637327267054645009844244751<107>

24892467603668557753000090400586736677794572369<47>
867836189664191492656674254659120524677089561991211694320479<60>

Number: 75551_144
N=21602584236507048793078528427619328574849069639901071407067296022517802018044160637327267054645009844244751
  ( 107 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=24892467603668557753000090400586736677794572369
 r2=867836189664191492656674254659120524677089561991211694320479
Version: 
Total time: 6.29 hours.
Scaled time: 14.99 units (timescale=2.381).
Factorization parameters were as follows:
n: 21602584236507048793078528427619328574849069639901071407067296022517802018044160637327267054645009844244751
m: 100000000000000000000000000000
deg: 5
c5: 34
c0: -205
skew: 1.43
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1275000, 2625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4846416
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 395311 x 395559
Total sieving time: 5.52 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2550000,2550000,26,26,49,49,2.3,2.3,75000
total time: 6.29 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1785823114047205532864564142717380990154970562116196561108798970213154646674726763889941941960613721969295735669951892273343422363<130>

1255612128577662110396954971095716478536029<43>
1422272908489788307449303177089974136622832027358183808413023957457841927697351017801047<88>

Number: 75551_145
N=1785823114047205532864564142717380990154970562116196561108798970213154646674726763889941941960613721969295735669951892273343422363
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1255612128577662110396954971095716478536029 (pp43)
 r2=1422272908489788307449303177089974136622832027358183808413023957457841927697351017801047 (pp88)
Version: Msieve v. 1.42
Total time: 0.44 hours.
Scaled time: 0.30 units (timescale=0.682).
Factorization parameters were as follows:
name: 75551_145
n: 1785823114047205532864564142717380990154970562116196561108798970213154646674726763889941941960613721969295735669951892273343422363
m: 100000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 329999 x 330224
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 0.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 8 hours.

128973995797215448814484116169921270822336396257811193385527946367660864173463162736114202640935324439767195543557<114>

91745407526091275078581201574964401<35>
31940625612168213799541729966676659153<38>
44012334266984213041400029357929142350469<41>

Number: 75551_146
N=128973995797215448814484116169921270822336396257811193385527946367660864173463162736114202640935324439767195543557
  ( 114 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=91745407526091275078581201574964401 (pp35)
 r2=31940625612168213799541729966676659153 (pp38)
 r3=44012334266984213041400029357929142350469 (pp41)
Version: Msieve v. 1.42
Total time: 0.46 hours.
Scaled time: 0.37 units (timescale=0.796).
Factorization parameters were as follows:
name: 75551_146
n: 128973995797215448814484116169921270822336396257811193385527946367660864173463162736114202640935324439767195543557
m: 100000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 334952 x 335178
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.46 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 8 hours 43 min.

14454325141254200952289562052566937159494074260230698612511874552142164528479835960990968953<92>

76180334184904123317889342999934709966538801<44>
189738274266043670657541526420182749846309412553<48>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 14454325141254200952289562052566937159494074260230698612511874552142164528479835960990968953 (92 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7439269695
Step 1 took 2839ms
Step 2 took 3401ms
********** Factor found in step 2: 76180334184904123317889342999934709966538801
Found probable prime factor of 44 digits: 76180334184904123317889342999934709966538801
Probable prime cofactor 189738274266043670657541526420182749846309412553 has 48 digits

Core 2 Quad Q6600

7724491918494245874564752853932774291919107471886360387090489304436455077678178551474229342774184191837934360272488018397914025393952591<136>

21519667365367654842470583146011<32>
358950340046869773901826232727800735939422222200866796152564338086970669249438689493918216794682673538781<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2986990002
Step 1 took 9185ms
Step 2 took 4904ms
********** Factor found in step 2: 21519667365367654842470583146011
Found probable prime factor of 32 digits: 21519667365367654842470583146011
Probable prime cofactor has 105 digits

1102932457050461524888604991351027073996484460931201092548206398798293471150833209468392126423258698582149258552492541<118>

1800451511689245767314330676089963<34>
215669343984462193160840678875020861123073<42>
2840397163010223335259614351210661990799159<43>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1874315294
Step 1 took 5677ms
Step 2 took 3232ms
********** Factor found in step 2: 1800451511689245767314330676089963
Found probable prime factor of 34 digits: 1800451511689245767314330676089963
Composite cofactor has 84 digits

YAFU
==== sieve params ====
n = 85 digits, 282 bits
factor base: 53604 primes (max prime = 1403261)
single large prime cutoff: 133309795 (95 * pmax)
double large prime range from 42 to 49 bits
...
largest cycle: 17 relations
seed1 = 1506533920, seed2 = 1741200034
matrix is 53604 x 53672 (10.8 MB) with weight 2405778 (44.82/col)
sparse part has weight 2405778 (44.82/col)
filtering completed in 3 passes
matrix is 46886 x 46950 (9.7 MB) with weight 2169331 (46.21/col)
sparse part has weight 2169331 (46.21/col)
saving the first 48 matrix rows for later
matrix is 46838 x 46950 (8.5 MB) with weight 1877032 (39.98/col)
sparse part has weight 1753611 (37.35/col)
matrix includes 64 packed rows
using block size 18780 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 7.1 MB
lanczos halted after 742 iterations (dim = 46835)
recovered 16 nontrivial dependencies
Lanczos elapsed time = 20.6800 seconds.
Sqrt elapsed time = 2.9400 seconds.
SIQS elapsed time = 1085.8868 seconds.


***factors found***

PRP43 = 2840397163010223335259614351210661990799159
PRP42 = 215669343984462193160840678875020861123073

755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<153>

16265246119665877213097123323621966604962907<44>
46452144037466078956508748338336320602320826318297272551484549901155394088684665086396413848049034018284223693<110>

N=755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=16265246119665877213097123323621966604962907 (pp44)
 r2=46452144037466078956508748338336320602320826318297272551484549901155394088684665086396413848049034018284223693 (pp110)
Version: Msieve-1.40
Total time: 25.71 hours.
Scaled time: 23.98 units (timescale=0.933).
Factorization parameters were as follows:
n: 755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 1000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 533036 x 533262
Total sieving time: 24.93 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 25.71 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

686865912778497563006607935673722168950584478407733505460022741513954322994738243612258520486632870972024170511867954041174518576598767296869<141>

7113194585266612260469948794515575092037305728888252909474307935569<67>
96562227357197046127888613298491383590574150483192128499408203794328927701<74>

Number: 75551_154
N=686865912778497563006607935673722168950584478407733505460022741513954322994738243612258520486632870972024170511867954041174518576598767296869
  ( 141 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=7113194585266612260469948794515575092037305728888252909474307935569 (pp67)
 r2=96562227357197046127888613298491383590574150483192128499408203794328927701 (pp74)
Version: Msieve v. 1.42
Total time: 0.94 hours.
Scaled time: 0.64 units (timescale=0.681).
Factorization parameters were as follows:
name: 75551_154
n: 686865912778497563006607935673722168950584478407733505460022741513954322994738243612258520486632870972024170511867954041174518576598767296869
m: 2000000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499888 x 500120
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.94 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.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 25 hours 53 min.

755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<156>

28495152348060838721385624667366881623485193<44>
26515231304140504635485781751519376731948832334575816583191434338012797846914694311904498999626897777245289674407<113>

N=755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 156 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=28495152348060838721385624667366881623485193 (pp44)
 r2=26515231304140504635485781751519376731948832334575816583191434338012797846914694311904498999626897777245289674407 (pp113)
Version: Msieve-1.40
Total time: 19.06 hours.
Scaled time: 36.43 units (timescale=1.911).
Factorization parameters were as follows:
n: 755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 10000000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 493077 x 493308
Total sieving time: 18.58 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 19.06 hours.
 --------- CPU info (if available) ----------

279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613<156>

7666930760339397981689825984631570788757083231015776786863281650485401<70>
36499011102862022835221587958605075358227478712315354953586197866770081205231441787413<86>

N=279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613
  ( 156 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=7666930760339397981689825984631570788757083231015776786863281650485401 (pp70)
 r2=36499011102862022835221587958605075358227478712315354953586197866770081205231441787413 (pp86)
Version: Msieve-1.40
Total time: 26.68 hours.
Scaled time: 24.92 units (timescale=0.934).
Factorization parameters were as follows:
n: 279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613
m: 10000000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 551055 x 551282
Total sieving time: 25.91 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 26.68 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

34929747898042953319299661699542241564297800435599373898713925518265290771320883032507721278640680375680148208741277507401813204992286528621757133<146>

75420892398406062028282689944878365137429<41>
463130928145596369150726315727974188058350660511658696435810268328147071112654686473251986145426845141977<105>

Number: 75551_158
N=34929747898042953319299661699542241564297800435599373898713925518265290771320883032507721278640680375680148208741277507401813204992286528621757133
  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=75420892398406062028282689944878365137429
 r2=463130928145596369150726315727974188058350660511658696435810268328147071112654686473251986145426845141977
Version: 
Total time: 18.12 hours.
Scaled time: 43.32 units (timescale=2.391).
Factorization parameters were as follows:
n: 34929747898042953319299661699542241564297800435599373898713925518265290771320883032507721278640680375680148208741277507401813204992286528621757133
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: -1025
skew: 2.27
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1700000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8707863
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591087 x 591335
Total sieving time: 16.55 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,50,50,2.4,2.4,100000
total time: 18.12 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

467056333186607962861655564229249703131552949840986084818714373350924677948170241<81>

11364592162486662783320113270586759<35>
41097500597365241273973820769849749485888722999<47>

Sun Jan 03 19:46:09 2010  
Sun Jan 03 19:46:09 2010  
Sun Jan 03 19:46:09 2010  Msieve v. 1.43
Sun Jan 03 19:46:09 2010  random seeds: a2bdf5ac 18d498dd
Sun Jan 03 19:46:09 2010  factoring 467056333186607962861655564229249703131552949840986084818714373350924677948170241 (81 digits)
Sun Jan 03 19:46:11 2010  searching for 15-digit factors
Sun Jan 03 19:46:12 2010  commencing quadratic sieve (81-digit input)
Sun Jan 03 19:46:12 2010  using multiplier of 6
Sun Jan 03 19:46:12 2010  using 64kb Pentium 4 sieve core
Sun Jan 03 19:46:12 2010  sieve interval: 6 blocks of size 65536
Sun Jan 03 19:46:12 2010  processing polynomials in batches of 17
Sun Jan 03 19:46:12 2010  using a sieve bound of 1307077 (50588 primes)
Sun Jan 03 19:46:12 2010  using large prime bound of 128093546 (26 bits)
Sun Jan 03 19:46:12 2010  using trial factoring cutoff of 27 bits
Sun Jan 03 19:46:12 2010  polynomial 'A' values have 10 factors
Sun Jan 03 20:20:30 2010  50690 relations (26490 full + 24200 combined from 267291 partial), need 50684
Sun Jan 03 20:20:31 2010  begin with 293781 relations
Sun Jan 03 20:20:32 2010  reduce to 71842 relations in 2 passes
Sun Jan 03 20:20:32 2010  attempting to read 71842 relations
Sun Jan 03 20:20:33 2010  recovered 71842 relations
Sun Jan 03 20:20:33 2010  recovered 60714 polynomials
Sun Jan 03 20:20:33 2010  attempting to build 50690 cycles
Sun Jan 03 20:20:33 2010  found 50690 cycles in 1 passes
Sun Jan 03 20:20:33 2010  distribution of cycle lengths:
Sun Jan 03 20:20:33 2010     length 1 : 26490
Sun Jan 03 20:20:33 2010     length 2 : 24200
Sun Jan 03 20:20:33 2010  largest cycle: 2 relations
Sun Jan 03 20:20:34 2010  matrix is 50588 x 50690 (6.9 MB) with weight 1593417 (31.43/col)
Sun Jan 03 20:20:34 2010  sparse part has weight 1593417 (31.43/col)
Sun Jan 03 20:20:35 2010  filtering completed in 3 passes
Sun Jan 03 20:20:35 2010  matrix is 35366 x 35429 (5.3 MB) with weight 1256810 (35.47/col)
Sun Jan 03 20:20:35 2010  sparse part has weight 1256810 (35.47/col)
Sun Jan 03 20:20:35 2010  saving the first 48 matrix rows for later
Sun Jan 03 20:20:36 2010  matrix is 35318 x 35429 (4.0 MB) with weight 1001187 (28.26/col)
Sun Jan 03 20:20:36 2010  sparse part has weight 833800 (23.53/col)
Sun Jan 03 20:20:36 2010  matrix includes 64 packed rows
Sun Jan 03 20:20:36 2010  using block size 10922 for processor cache size 256 kB
Sun Jan 03 20:20:36 2010  commencing Lanczos iteration
Sun Jan 03 20:20:36 2010  memory use: 4.5 MB
Sun Jan 03 20:20:51 2010  lanczos halted after 560 iterations (dim = 35316)
Sun Jan 03 20:20:52 2010  recovered 18 nontrivial dependencies
Sun Jan 03 20:20:52 2010  prp35 factor: 11364592162486662783320113270586759
Sun Jan 03 20:20:52 2010  prp47 factor: 41097500597365241273973820769849749485888722999
Sun Jan 03 20:20:52 2010  elapsed time 00:34:43

2372625040178353207911192262937000467508503100844776837552487954892235264010225242943808537950225646132421904849086855761762645941734485277<139>

35708957969067928411845633029253083221208537507<47>
66443412945109896897317311154095891354449262574060500160579777073199595589676189339444546111<92>

Number: 75551_162
N=2372625040178353207911192262937000467508503100844776837552487954892235264010225242943808537950225646132421904849086855761762645941734485277
  ( 139 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=35708957969067928411845633029253083221208537507 (pp47)
 r2=66443412945109896897317311154095891354449262574060500160579777073199595589676189339444546111 (pp92)
Version: Msieve-1.40
Total time: 41.39 hours.
Scaled time: 138.96 units (timescale=3.357).
Factorization parameters were as follows:
name: 75551_162
n: 2372625040178353207911192262937000467508503100844776837552487954892235264010225242943808537950225646132421904849086855761762645941734485277
m: 100000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
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, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 778455 x 778703
Total sieving time: 40.08 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 41.39 hours.
 --------- CPU info (if available) ----------

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

2881039827457895971881627053137530734638790825166127496066674320241571446494762386620442953820735453<100>

618162834186865969389336374155487198277265679<45>
4660648728983566373964395375209529291596595400646068307<55>

Number: 75551_163
N = 2881039827457895971881627053137530734638790825166127496066674320241571446494762386620442953820735453 (100 digits)
Divisors found:
r1=618162834186865969389336374155487198277265679 (pp45)
r2=4660648728983566373964395375209529291596595400646068307 (pp55)
Version: Msieve v. 1.43
Total time: 1.42 hours.
Factorization parameters were as follows:
name: 75551_163
n: 2881039827457895971881627053137530734638790825166127496066674320241571446494762386620442953820735453
skew: 3780.87
# norm 1.16e+14
c5: 204120
c4: -1300662016
c3: -14887528966064
c2: -9629246254240576
c1: 71784960098507618961
c0: -38188640167192634569245
# alpha -6.1
Y1: 12865768213
Y0: -6759799176610485742
# Murphy_E 3.54e-09
# M 2408690409668872972498825223104012108680184159710574206632939121534908082764849200033474314310432048
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
Sieved algebraic special-q in [900000, 1399997)
Relations: 421778 relations
Max relations in full relation-set: 0
Pruned matrix : 228144 x 228392
Polynomial selection time: 0.50 hours.
Total sieving time: 0.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,99,5,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 1.42 hours.
 --------- CPU info (if available) ----------

factmsieve.py + ggnfs + msieve 1.43

Core2 Quad @ 3.4Ghz Windows 7 64bit

854298940873226936453206833399585409703925361028205450537723725394312772623854455427207353586984530904922059089555404555453847874575273833310906541365143473<156>

10480313600707818519673730831694171012181<41>
79484851267639022744141520721812582516323879611<47>
1025536740507414856643349087642408363723183743909269787774321601955703<70>

N=854298940873226936453206833399585409703925361028205450537723725394312772623854455427207353586984530904922059089555404555453847874575273833310906541365143473
  ( 156 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=10480313600707818519673730831694171012181 (pp41)
 r2=79484851267639022744141520721812582516323879611 (pp47)
 r3=1025536740507414856643349087642408363723183743909269787774321601955703 (pp70)
Version: Msieve-1.40
Total time: 47.12 hours.
Scaled time: 88.45 units (timescale=1.877).
Factorization parameters were as follows:
n: 854298940873226936453206833399585409703925361028205450537723725394312772623854455427207353586984530904922059089555404555453847874575273833310906541365143473
m: 200000000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 885225 x 885472
Total sieving time: 45.76 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 47.12 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

51260830075246492107266439379446763552525443088692599196624652616565393358611840602311383576732029814245648927834786996160510609639173<134>

1315468648267952703916159368746126101068928360158252656417561<61>
38967732254767490957428392133660281893785076401193544827887631952555046093<74>

Number: 75551_165
N=51260830075246492107266439379446763552525443088692599196624652616565393358611840602311383576732029814245648927834786996160510609639173
  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1315468648267952703916159368746126101068928360158252656417561 (pp61)
 r2=38967732254767490957428392133660281893785076401193544827887631952555046093 (pp74)
Version: Msieve v. 1.42
Total time: 2.11 hours.
Scaled time: 1.68 units (timescale=0.795).
Factorization parameters were as follows:
name: 75551_165
n: 51260830075246492107266439379446763552525443088692599196624652616565393358611840602311383576732029814245648927834786996160510609639173
m: 1000000000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 785935 x 786161
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 2.11 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.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 41 hours.

755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<168>

97444394186808858095826969551<29>
7753709814307982449336949846780269362303224605662537443510883867112046199281772906850279731511642337447144693056485266996098428820587286001<139>

N=755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 168 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=97444394186808858095826969551 (pp29)
 r2=7753709814307982449336949846780269362303224605662537443510883867112046199281772906850279731511642337447144693056485266996098428820587286001 (pp139)
Version: Msieve-1.40
Total time: 60.06 hours.
Scaled time: 112.73 units (timescale=1.877).
Factorization parameters were as follows:
n: 755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 1000000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1052112 x 1052347
Total sieving time: 57.99 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 60.06 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1094481594677759085044495361805976042773723217295337358424152833352263721606733138900169147669373480840204336289643884602593586849287210509801285319877<151>

86166160028941498815572270435461397102783267269<47>
12701988742566043245934458591581557336288557290252395775023100775604650730019021919383339027298687500033<104>

Number: n
N=1094481594677759085044495361805976042773723217295337358424152833352263721606733138900169147669373480840204336289643884602593586849287210509801285319877
  ( 151 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jun  7 15:39:34 2010  prp47 factor: 86166160028941498815572270435461397102783267269
Mon Jun  7 15:39:34 2010  prp104 factor: 12701988742566043245934458591581557336288557290252395775023100775604650730019021919383339027298687500033
Mon Jun  7 15:39:34 2010  elapsed time 03:11:12 (Msieve 1.42 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.877).
Factorization parameters were as follows:
name: KA_7_5_171_1
n: 1094481594677759085044495361805976042773723217295337358424152833352263721606733138900169147669373480840204336289643884602593586849287210509801285319877
m: 10000000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1568583 hash collisions in 11726583 relations
Msieve: matrix is 1066926 x 1067160 (301.8 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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

2798929745477977218344962362723822376992852133593770204269935030505807579887071901985641382399237363143172250710806582702523<124>

763667022218543471484036717829944264561787<42>
3665117995205231748601287609570878931901848707918948654552653128406178177817736129<82>

Number: 75551_175
N = 2798929745477977218344962362723822376992852133593770204269935030505807579887071901985641382399237363143172250710806582702523 (124 digits)
Divisors found:
r1=763667022218543471484036717829944264561787 (pp42)
r2=3665117995205231748601287609570878931901848707918948654552653128406178177817736129 (pp82)
Version: Msieve v. 1.43
Total time: 20.83 hours.
Factorization parameters were as follows:
# Murphy_E = 7.743248e-12, selected by Max Dettweiler
n: 2798929745477977218344962362723822376992852133593770204269935030505807579887071901985641382399237363143172250710806582702523
Y0: -1173078002760387706475674
Y1: 18288171943219
c0: -2765612058008087271595590555201
c1: 36391822442129011306073625
c2: 393417305259726181429
c3: -431755283101909
c4: -2419794212
c5: 1260
skew: 395897.28
type: gnfs
# selected mechanically
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3250000, 5949999)
Relations: 1593332 relations
Max relations in full relation-set: 0
Pruned matrix : 926704 x 926931
Polynomial selection time: 0.00 hours.
Total sieving time: 19.53 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 20.83 hours.
 --------- CPU info (if available) ----------

factmsieve.py + ggnfs + msieve 1.43

Core2 @ 3.4GHz Windows 7 64bit

199148522918334169464264115456941892853994553287898183560465152376442252639230443248967575984679621278082504304390317047377140736796819012358044443507274924828754235200848607<174>

34063526559732195042820114439118871191568007739571004167490201221775263687087532501<83>
5846385945069918227572402288717310273239227030323641177550660869530076113455974989777371107<91>

N=199148522918334169464264115456941892853994553287898183560465152376442252639230443248967575984679621278082504304390317047377140736796819012358044443507274924828754235200848607
  ( 174 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=34063526559732195042820114439118871191568007739571004167490201221775263687087532501 (pp83)
 r2=5846385945069918227572402288717310273239227030323641177550660869530076113455974989777371107 (pp91)
Version: Msieve-1.40
Total time: 120.19 hours.
Scaled time: 222.96 units (timescale=1.855).
Factorization parameters were as follows:
n: 199148522918334169464264115456941892853994553287898183560465152376442252639230443248967575984679621278082504304390317047377140736796819012358044443507274924828754235200848607
m: 200000000000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 9500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1412554 x 1412783
Total sieving time: 117.16 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 120.19 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

3424105251839258171926455713266249247208468806949540583180620423196714804955647131711350272442947972336250758705563953578109<124>

20172163857778181982114810427939<32>

169744072870940808006123771367149313959885319832945760543554664726965669515188400536921208031<93>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=868793981
Step 1 took 5752ms
********** Factor found in step 1: 20172163857778181982114810427939
Found probable prime factor of 32 digits: 20172163857778181982114810427939
Composite cofactor has 93 digits

169744072870940808006123771367149313959885319832945760543554664726965669515188400536921208031<93>

6699463235042212417244350819793761601363071423<46>
25336966099474575804792334031651111897617360097<47>

Tue Jan 05 10:13:27 2010  
Tue Jan 05 10:13:27 2010  
Tue Jan 05 10:13:27 2010  Msieve v. 1.43
Tue Jan 05 10:13:27 2010  random seeds: cfb119e0 cd2a6e96
Tue Jan 05 10:13:27 2010  factoring 169744072870940808006123771367149313959885319832945760543554664726965669515188400536921208031 (93 digits)
Tue Jan 05 10:13:27 2010  searching for 15-digit factors
Tue Jan 05 10:13:28 2010  commencing quadratic sieve (93-digit input)
Tue Jan 05 10:13:28 2010  using multiplier of 11
Tue Jan 05 10:13:28 2010  using 64kb Opteron sieve core
Tue Jan 05 10:13:28 2010  sieve interval: 18 blocks of size 65536
Tue Jan 05 10:13:28 2010  processing polynomials in batches of 6
Tue Jan 05 10:13:28 2010  using a sieve bound of 1880597 (70588 primes)
Tue Jan 05 10:13:28 2010  using large prime bound of 220029849 (27 bits)
Tue Jan 05 10:13:28 2010  using double large prime bound of 1038644301309030 (42-50 bits)
Tue Jan 05 10:13:28 2010  using trial factoring cutoff of 50 bits
Tue Jan 05 10:13:28 2010  polynomial 'A' values have 12 factors
Tue Jan 05 12:19:35 2010  70937 relations (17345 full + 53592 combined from 936362 partial), need 70684
Tue Jan 05 12:19:36 2010  begin with 953707 relations
Tue Jan 05 12:19:37 2010  reduce to 182711 relations in 10 passes
Tue Jan 05 12:19:37 2010  attempting to read 182711 relations
Tue Jan 05 12:19:39 2010  recovered 182711 relations
Tue Jan 05 12:19:39 2010  recovered 167652 polynomials
Tue Jan 05 12:19:39 2010  attempting to build 70937 cycles
Tue Jan 05 12:19:39 2010  found 70937 cycles in 6 passes
Tue Jan 05 12:19:39 2010  distribution of cycle lengths:
Tue Jan 05 12:19:39 2010     length 1 : 17345
Tue Jan 05 12:19:39 2010     length 2 : 12478
Tue Jan 05 12:19:39 2010     length 3 : 12217
Tue Jan 05 12:19:39 2010     length 4 : 9714
Tue Jan 05 12:19:39 2010     length 5 : 7220
Tue Jan 05 12:19:39 2010     length 6 : 4728
Tue Jan 05 12:19:39 2010     length 7 : 3073
Tue Jan 05 12:19:39 2010     length 9+: 4162
Tue Jan 05 12:19:39 2010  largest cycle: 20 relations
Tue Jan 05 12:19:40 2010  matrix is 70588 x 70937 (17.9 MB) with weight 4416643 (62.26/col)
Tue Jan 05 12:19:40 2010  sparse part has weight 4416643 (62.26/col)
Tue Jan 05 12:19:41 2010  filtering completed in 3 passes
Tue Jan 05 12:19:41 2010  matrix is 67191 x 67255 (17.0 MB) with weight 4198430 (62.43/col)
Tue Jan 05 12:19:41 2010  sparse part has weight 4198430 (62.43/col)
Tue Jan 05 12:19:41 2010  saving the first 48 matrix rows for later
Tue Jan 05 12:19:41 2010  matrix is 67143 x 67255 (10.2 MB) with weight 3255676 (48.41/col)
Tue Jan 05 12:19:41 2010  sparse part has weight 2258011 (33.57/col)
Tue Jan 05 12:19:41 2010  matrix includes 64 packed rows
Tue Jan 05 12:19:41 2010  using block size 26902 for processor cache size 1024 kB
Tue Jan 05 12:19:41 2010  commencing Lanczos iteration
Tue Jan 05 12:19:41 2010  memory use: 10.8 MB
Tue Jan 05 12:19:51 2010  linear algebra at 35.8%, ETA 0h 0m
Tue Jan 05 12:20:07 2010  lanczos halted after 1064 iterations (dim = 67142)
Tue Jan 05 12:20:08 2010  recovered 17 nontrivial dependencies
Tue Jan 05 12:20:08 2010  prp46 factor: 6699463235042212417244350819793761601363071423
Tue Jan 05 12:20:08 2010  prp47 factor: 25336966099474575804792334031651111897617360097
Tue Jan 05 12:20:08 2010  elapsed time 02:06:41

118055719577554989567091479792666479353259139695689882572532237372214722400726222849103949753686524838151056997695252764379469239939923<135>

550699027090444322969206999257767226881<39>
214374302059854648981051583789374238242046146885862855032143297095627235780084159588865432684883<96>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3271416727
Step 1 took 5149ms
Step 2 took 5054ms
********** Factor found in step 2: 550699027090444322969206999257767226881
Found probable prime factor of 39 digits: 55069902709044432296920699925776722688
1
Probable prime cofactor 21437430205985464898105158378937423824204614688586285503
2143297095627235780084159588865432684883 has 96 digits

GMP-ECM 6.2.3

5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629<169>

38225911843265827735120371829289508280835153979911818308127<59>
130859828049184790507761114168501399162743513622648226175297841815326241146943124464681623162298531026627216627<111>

N=5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629
  ( 169 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=38225911843265827735120371829289508280835153979911818308127 (pp59)
 r2=130859828049184790507761114168501399162743513622648226175297841815326241146943124464681623162298531026627216627 (pp111)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 186.76 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629
m: 2000000000000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
# Murphy_E = 5.472e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 13200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1827074 x 1827301
Total sieving time: 182.35 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 186.76 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007<166>

21863537228413968941858282684463621056942503889204749857585301<62>
188515600260091010729539976886688676029443068639818192451981737840061599047329872505929370612954197596907<105>

Number: 75551_185
N=4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=21863537228413968941858282684463621056942503889204749857585301
 r2=188515600260091010729539976886688676029443068639818192451981737840061599047329872505929370612954197596907
Version: 
Total time: 84.80 hours.
Scaled time: 445.80 units (timescale=5.257).
Factorization parameters were as follows:
n: 4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007
m: 10000000000000000000000000000000000000
deg: 5
c5: 68
c0: -41
skew: 0.90
# Murphy_E = 5.453e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20707343
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725454 x 1725702
Total sieving time: 78.71 hours.
Total relation processing time: 2.08 hours.
Matrix solve time: 3.88 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 84.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

78242569580786184200524795833300955701120035835644560801774071470393311116063938468146166638679696112037537030010483673620832333548401649063042245826836069397814683<164>

1336408805014236786285783798961611254782934973208244033<55>
58546882725718545938089575544089164742173142147341808631761039625011004606349099790969201797043551608263193051<110>

78242569580786184200524795833300955701120035835644560801774071470393311116063938468146166638679696112037537030010483673620832333548401649063042245826836069397814683=1336408805014236786285783798961611254782934973208244033*58546882725718545938089575544089164742173142147341808631761039625011004606349099790969201797043551608263193051

n: 78242569580786184200524795833300955701120035835644560801774071470393311116063938468146166638679696112037537030010483673620832333548401649063042245826836069397814683
skew: 0.45
type: snfs
c0: -41
c5: 2125
Y0: 20000000000000000000000000000000000000
Y1: -1
# f(x) = 2125*x^5-41
# g(x) = -x+20000000000000000000000000000000000000

Info:Square Root: Factors: 1336408805014236786285783798961611254782934973208244033 58546882725718545938089575544089164742173142147341808631761039625011004606349099790969201797043551608263193051
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: 4.52/1.95974
Info:Generate Free Relations: Total cpu/real time for freerel: 102.75/26.3644
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31266419
Info:Lattice Sieving: Average J: 1895.61 for 2580219 special-q, max bucket fill -bkmult 1.0,1s:1.125320
Info:Lattice Sieving: Total time: 591932s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 61.42/128.218
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 127.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 561.97/527.098
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 445.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 465.55/486.863
Info:Filtering - Merging: Total cpu/real time for merge: 283.78/81.7402
Info:Filtering - Merging: Total cpu/real time for replay: 77.2/68.2078
Info:Linear Algebra: Total cpu/real time for bwc: 72070.8/18448.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11874.06, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63488 iterations)
Info:Linear Algebra: Lingen CPU time 421.17, WCT time 121.4
Info:Linear Algebra: Mksol: WCT time 6329.92, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 73.68/30.4649
Info:Square Root: Total cpu/real time for sqrt: 598.36/184.653
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.16228e+06/315706
Info:root: Cleaning up computation data in /tmp/cado.xblaq9qs
1336408805014236786285783798961611254782934973208244033 58546882725718545938089575544089164742173142147341808631761039625011004606349099790969201797043551608263193051

cado-nfs-3.0.0

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

16327375952345143775305537154308904528345953812970596472438116995083234780795672301786919058195525225162571344395651083753536985454944955807761522078600937302311389643446451039<176>

109576740158620972046082576785600446563088038539819<51>
149004030679412251086798674728458454204069407240805601516268694547937065169808014887874976908042386969986801740457957425620381<126>

16327375952345143775305537154308904528345953812970596472438116995083234780795672301786919058195525225162571344395651083753536985454944955807761522078600937302311389643446451039=109576740158620972046082576785600446563088038539819*149004030679412251086798674728458454204069407240805601516268694547937065169808014887874976908042386969986801740457957425620381

cado polynomial
n: 16327375952345143775305537154308904528345953812970596472438116995083234780795672301786919058195525225162571344395651083753536985454944955807761522078600937302311389643446451039
skew: 1.43
type: snfs
c0: -205
c5: 34
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 34*x^5-205
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 149004030679412251086798674728458454204069407240805601516268694547937065169808014887874976908042386969986801740457957425620381 109576740158620972046082576785600446563088038539819
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: 4.72/3.13603
Info:Generate Free Relations: Total cpu/real time for freerel: 102.25/49.4063
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27174413
Info:Lattice Sieving: Average J: 1894 for 3090656 special-q, max bucket fill -bkmult 1.0,1s:1.080080
Info:Lattice Sieving: Total time: 705738s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.62/112.448
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 437.6/401.437
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 347.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 340.7/354.99
Info:Filtering - Merging: Merged matrix has 2343182 rows and total weight 403362359 (172.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 340.37/98.1127
Info:Filtering - Merging: Total cpu/real time for replay: 92.07/82.4393
Info:Linear Algebra: Total cpu/real time for bwc: 97252.4/24908
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15871.18, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 470.19, WCT time 136.95
Info:Linear Algebra: Mksol: WCT time 8670.83, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.6/34.6981
Info:Square Root: Total cpu/real time for sqrt: 639.99/202.874
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.40106e+06/339202
149004030679412251086798674728458454204069407240805601516268694547937065169808014887874976908042386969986801740457957425620381 109576740158620972046082576785600446563088038539819

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)

167862355861462345907248320266710808890656755358726439555618101730858924060769933342329421455993526527826745476544670880492475364849567878197670356947224501799250687<165>

12518149475130350840843709722409866607354743<44>
101682490137710695047946120470604195741986659<45>
131876377074194505273311286663822478187882300489382217760426155197730911449651<78>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=716669232
Step 1 took 84913ms
Step 2 took 27033ms
********** Factor found in step 2: 101682490137710695047946120470604195741986659
Found probable prime factor of 45 digits: 101682490137710695047946120470604195741986659
Composite cofactor 1650848200453420178874029792241751955298655739333067044655062507695678537737848819030164951066767900555216563424540544693 has 121 digits

N=1650848200453420178874029792241751955298655739333067044655062507695678537737848819030164951066767900555216563424540544693
  ( 121 digits)
Divisors found:
 r1=12518149475130350840843709722409866607354743 (pp44)
 r2=131876377074194505273311286663822478187882300489382217760426155197730911449651 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1650848200453420178874029792241751955298655739333067044655062507695678537737848819030164951066767900555216563424540544693
skew: 885519.24
c0: 29634354054071650341582439393386
c1: 184271692588775312725183497
c2: -29205058292533043925
c3: -531852044580800
c4: 104442089
c5: 228
Y0: -373211003013839638889135
Y1: 183748317883
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 770260 x 770503
Total sieving time: 41.84 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 42.66 hours.
 --------- CPU info (if available) ----------

11086817936514923998232630787767326821458210033244149665520485341759314965084675571990132732036501717641572958598887079128902193070412706797686768045834209681074638740928781868487513471299<188>

370541504935364512282877622144595239003827<42>
52367013271029342530173146801529398587270217068986714996259<59>
571363179900083529120043343340575532047422978445846563128565517461476949723940216358043<87>

Number: n
N=11086817936514923998232630787767326821458210033244149665520485341759314965084675571990132732036501717641572958598887079128902193070412706797686768045834209681074638740928781868487513471299
  ( 188 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Feb  8 20:36:58 2010  prp42 factor: 370541504935364512282877622144595239003827
Mon Feb  8 20:36:58 2010  prp59 factor: 52367013271029342530173146801529398587270217068986714996259
Mon Feb  8 20:36:58 2010  prp87 factor: 571363179900083529120043343340575532047422978445846563128565517461476949723940216358043
Mon Feb  8 20:36:58 2010  elapsed time 06:23:59 (Msieve 1.42 - dependency 2)

Version: 
Total time: 10.83 hours.
Scaled time: 9.12 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_7_5_190_1
n: 11086817936514923998232630787767326821458210033244149665520485341759314965084675571990132732036501717641572958598887079128902193070412706797686768045834209681074638740928781868487513471299
m: 100000000000000000000000000000000000000
deg: 5
c5: 680
c0: -41
skew: 0.57
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8502097)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3092040 hash collisions in 28878760 relations
Msieve: matrix is 1565218 x 1565443 (421.8 MB)

Total sieving time: 10.83 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,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,56,56,2.5,2.5,100000
total time: 10.83 hours.
 --------- CPU info (if available) ----------

44975950519740940543115371293950621249344007200176565824548426250885212437071849308830567287670272293613851895032041421624570059540153264148887534090427837914512942997254137621293<179>

1810833236610884869474903444423255406587900904909523761070177635445818693221<76>
24837157619172556844323096085852327696628505934418540457330082404910901515196970402235603342152169845033<104>

Number: n
N=44975950519740940543115371293950621249344007200176565824548426250885212437071849308830567287670272293613851895032041421624570059540153264148887534090427837914512942997254137621293  ( 179 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Mar  3 06:59:12 2021  p76 factor: 1810833236610884869474903444423255406587900904909523761070177635445818693221
Wed Mar  3 06:59:12 2021  p104 factor: 24837157619172556844323096085852327696628505934418540457330082404910901515196970402235603342152169845033
Wed Mar  3 06:59:12 2021  elapsed time 01:07:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 68x10^193-41 = 75(192)1
#
n: 44975950519740940543115371293950621249344007200176565824548426250885212437071849308830567287670272293613851895032041421624570059540153264148887534090427837914512942997254137621293
m: 200000000000000000000000000000000000000
deg: 5
c5: 2125
c0: -41
skew: 0.45
# Murphy_E = 2.131e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3472155 hash collisions in 27280922 relations (25276698 unique)
Msieve: matrix is 1718469 x 1718695 (597.6 MB)

Sieving start time : 2021/03/03 00:36:20
Sieving end time  : 2021/03/03 05:51:31

Total sieving time: 5hrs 15min 11secs.

Total relation processing time: 0hrs 56min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

21540278408196173044623910702599777402534714383154083222338275653026649027107471388801136097984380276830559376055551796154443465531393197314895816571838241675057<161>

327584884914748520033233810733463465857133673101848527470817087<63>
65754799443209557767219384657775800919271339182141762973699645655405862376819736091383748724903311<98>

p63 factor: 327584884914748520033233810733463465857133673101848527470817087
p98 factor: 65754799443209557767219384657775800919271339182141762973699645655405862376819736091383748724903311


Msieve v. 1.54 (SVN 1034)
random seeds: 06cb13a8 9bf5fb3c
factoring 21540278408196173044623910702599777402534714383154083222338275653026649027107471388801136097984380276830559376055551796154443465531393197314895816571838241675057 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -205
A1: 0
A2: 0
A3: 0
A4: 0
A5: 34
skew 1.00, size 6.684e-14, alpha 1.330, combined = 1.565e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2224153 hash collisions in 36124352 relations
added 728896 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36853248 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1227.5 MB
keeping 39997843 ideals with weight <= 200, target excess is 194056
commencing in-memory singleton removal
begin with 36853248 relations and 39997843 unique ideals
reduce to 13682854 relations and 12800991 ideals in 15 passes
max relations containing the same ideal: 108
removing 1926449 relations and 1598070 ideals in 328379 cliques
commencing in-memory singleton removal
begin with 11756405 relations and 12800991 unique ideals
reduce to 11519310 relations and 10958297 ideals in 13 passes
max relations containing the same ideal: 94
removing 1540313 relations and 1211934 ideals in 328379 cliques
commencing in-memory singleton removal
begin with 9978997 relations and 10958297 unique ideals
reduce to 9794587 relations and 9556471 ideals in 9 passes
max relations containing the same ideal: 83
removing 109105 relations and 96094 ideals in 13011 cliques
commencing in-memory singleton removal
begin with 9685482 relations and 9556471 unique ideals
reduce to 9684569 relations and 9459461 ideals in 5 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 4057
relations with 1 large ideals: 6527
relations with 2 large ideals: 62269
relations with 3 large ideals: 332952
relations with 4 large ideals: 1061220
relations with 5 large ideals: 2106434
relations with 6 large ideals: 2750825
relations with 7+ large ideals: 3360285
commencing 2-way merge
reduce to 5998117 relation sets and 5773009 unique ideals
commencing full merge
memory use: 693.0 MB
found 2821622 cycles, need 2801209
weight of 2801209 cycles is about 252385070 (90.10/cycle)
distribution of cycle lengths:
1 relations: 248679
2 relations: 254681
3 relations: 260577
4 relations: 248845
5 relations: 234791
6 relations: 214373
7 relations: 195943
8 relations: 175047
9 relations: 154903
10+ relations: 813370
heaviest cycle: 28 relations
commencing cycle optimization
start with 20493813 relations
pruned 681556 relations
memory use: 606.0 MB
distribution of cycle lengths:
1 relations: 248679
2 relations: 260869
3 relations: 270915
4 relations: 256774
5 relations: 243250
6 relations: 220320
7 relations: 201168
8 relations: 178249
9 relations: 156738
10+ relations: 764247
heaviest cycle: 28 relations
RelProcTime: 997
elapsed time 00:16:38


Msieve v. 1.54 (SVN 1034)
random seeds: 7b99b375 8109a9dd
factoring 21540278408196173044623910702599777402534714383154083222338275653026649027107471388801136097984380276830559376055551796154443465531393197314895816571838241675057 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -205
A1: 0
A2: 0
A3: 0
A4: 0
A5: 34
skew 1.00, size 6.684e-14, alpha 1.330, combined = 1.565e-11 rroots = 1

commencing linear algebra
read 2801209 cycles
cycles contain 9519670 unique relations
read 9519670 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1204.6 MB
read 2801209 cycles
matrix is 2801032 x 2801209 (1030.6 MB) with weight 300998617 (107.45/col)
sparse part has weight 239344473 (85.44/col)
filtering completed in 2 passes
matrix is 2800240 x 2800417 (1030.5 MB) with weight 300971531 (107.47/col)
sparse part has weight 239335482 (85.46/col)
matrix starts at (0, 0)
matrix is 2800240 x 2800417 (1030.5 MB) with weight 300971531 (107.47/col)
sparse part has weight 239335482 (85.46/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2800192 x 2800417 (979.5 MB) with weight 247362419 (88.33/col)
sparse part has weight 228774845 (81.69/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 933.7 MB
linear algebra at 0.1%, ETA 3h35m
checkpointing every 730000 dimensions
lanczos halted after 44279 iterations (dim = 2800190)
recovered 37 nontrivial dependencies
BLanczosTime: 13636
elapsed time 03:47:16


Msieve v. 1.54 (SVN 1034)
random seeds: b92d3125 18b3832d
factoring 21540278408196173044623910702599777402534714383154083222338275653026649027107471388801136097984380276830559376055551796154443465531393197314895816571838241675057 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -205
A1: 0
A2: 0
A3: 0
A4: 0
A5: 34
skew 1.00, size 6.684e-14, alpha 1.330, combined = 1.565e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1400180 cycles
cycles contain 4758542 unique relations
read 4758542 relations
multiplying 4758542 relations
multiply complete, coefficients have about 132.69 million bits
initial square root is modulo 57881
sqrtTime: 263
p63 factor: 327584884914748520033233810733463465857133673101848527470817087
p98 factor: 65754799443209557767219384657775800919271339182141762973699645655405862376819736091383748724903311
elapsed time 00:04:23

CADO-NFS/Msieve

56549861218415413849803272286632660632047794534177790726928884296712668895312294545058556647154876145811757894176557264650815509181043540461244723236227907451<158>

501673517302149465892889474297272918103237099480845545544458883278675961027<75>
112722436541047052828145954593290627008587466731980016532000848146214456397396078313<84>

56549861218415413849803272286632660632047794534177790726928884296712668895312294545058556647154876145811757894176557264650815509181043540461244723236227907451=501673517302149465892889474297272918103237099480845545544458883278675961027*112722436541047052828145954593290627008587466731980016532000848146214456397396078313

cado polynomial
n: 56549861218415413849803272286632660632047794534177790726928884296712668895312294545058556647154876145811757894176557264650815509181043540461244723236227907451
skew: 0.90
type: snfs
c0: -41
c5: 68
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 68*x^5-41
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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: 501673517302149465892889474297272918103237099480845545544458883278675961027 112722436541047052828145954593290627008587466731980016532000848146214456397396078313
Info:Square Root: Total cpu/real time for sqrt: 1438.17/441.622
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30214099
Info:Lattice Sieving: Average J: 1894.02 for 4087679 special-q, max bucket fill -bkmult 1.0,1s:1.145600
Info:Lattice Sieving: Total time: 1.11201e+06s
Info:Square Root: Total cpu/real time for sqrt: 1438.17/441.622
Info:Quadratic Characters: Total cpu/real time for characters: 98.59/42.948
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.29/154.58
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 153.3s
Info:Filtering - Merging: Merged matrix has 2854095 rows and total weight 485248652 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 802.84/221.25
Info:Filtering - Merging: Total cpu/real time for replay: 111.69/97.8954
Info:Linear Algebra: Total cpu/real time for bwc: 145460/37205.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 93458.15, WCT time 23840.72, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (89600 iterations)
Info:Linear Algebra: Lingen CPU time 615.86, WCT time 156.38
Info:Linear Algebra: Mksol: CPU time 50330.44,  WCT time 12843.34, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.69/2.73171
Info:Generate Free Relations: Total cpu/real time for freerel: 119.93/32.5886
Info:Filtering - Singleton removal: Total cpu/real time for purge: 415.4/486.534
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 536.67/557.087
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 448.70000000000005s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.31167e+06/139969
Info:root: Cleaning up computation data in /tmp/cado.raojfoeh
501673517302149465892889474297272918103237099480845545544458883278675961027 112722436541047052828145954593290627008587466731980016532000848146214456397396078313

cado-nfs-3.0.0

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

108099749364910512428194439026584979153816579316257294324318917829030461119049939238630289101693105122175053045129129551356792864451517807234831509681469340434816845157073<171>

2244780222159535370947507657108964802724545605724133145279719<61>
48156050333032522181116778367496805922315950714213105705898012365930862701099926096374817663837625943899276167<110>

108099749364910512428194439026584979153816579316257294324318917829030461119049939238630289101693105122175053045129129551356792864451517807234831509681469340434816845157073
=2244780222159535370947507657108964802724545605724133145279719*48156050333032522181116778367496805922315950714213105705898012365930862701099926096374817663837625943899276167

cado polynomial
n: 108099749364910512428194439026584979153816579316257294324318917829030461119049939238630289101693105122175053045129129551356792864451517807234831509681469340434816845157073
skew: 0.57
type: snfs
c0: -41
c5: 680
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 680*x^5-41
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13900000
tasks.lim1 = 13900000
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: 48156050333032522181116778367496805922315950714213105705898012365930862701099926096374817663837625943899276167 2244780222159535370947507657108964802724545605724133145279719
Info:Square Root: Total cpu/real time for sqrt: 791.95/250.052
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: 5.87/2.33165
Info:Generate Free Relations: Total cpu/real time for freerel: 102.52/26.4458
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30819280
Info:Lattice Sieving: Average J: 1893.44 for 4364119 special-q, max bucket fill -bkmult 1.0,1s:1.102210
Info:Lattice Sieving: Total time: 1.12643e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 60.02/157.545
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 538.43/545.972
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 477.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 475.12/559.34
Info:Filtering - Merging: Merged matrix has 2826455 rows and total weight 483325488 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 399.85/115.819
Info:Filtering - Merging: Total cpu/real time for replay: 109.49/97.7824
Info:Linear Algebra: Total cpu/real time for bwc: 139491/35665.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22818.11, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88576 iterations)
Info:Linear Algebra: Lingen CPU time 581.87, WCT time 168.24
Info:Linear Algebra: Mksol: WCT time 12648.23, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 96.96/43.3821
Info:Square Root: Total cpu/real time for sqrt: 791.95/250.052
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.23693e+06/35965
48156050333032522181116778367496805922315950714213105705898012365930862701099926096374817663837625943899276167 2244780222159535370947507657108964802724545605724133145279719

cado-nfs-3.0.0

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

3284846484489983707862678275376372831195253117932741906472483361372882821975371347137802174958478363147501481795315594846709195954649327842245827783439028830320030045582887<172>

15079632185141899472097161081890424337526490863207297373708869105533788652031009<80>
217833329365060589070369899117428370034885494666216019140207856253790774854001407428615305543<93>

Number: n
N=3284846484489983707862678275376372831195253117932741906472483361372882821975371347137802174958478363147501481795315594846709195954649327842245827783439028830320030045582887  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Mar 21 22:18:44 2021  p80 factor: 15079632185141899472097161081890424337526490863207297373708869105533788652031009
Sun Mar 21 22:18:44 2021  p93 factor: 217833329365060589070369899117428370034885494666216019140207856253790774854001407428615305543
Sun Mar 21 22:18:44 2021  elapsed time 01:39:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 68x10^197-41 = 75(196)1
#
n: 3284846484489983707862678275376372831195253117932741906472483361372882821975371347137802174958478363147501481795315594846709195954649327842245827783439028830320030045582887
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
# Murphy_E = 1.294e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4213525 hash collisions in 28359036 relations (25495310 unique)
Msieve: matrix is 2119016 x 2119241 (739.9 MB)

Sieving start time : 2021/03/21 11:58:10
Sieving end time  : 2021/03/21 20:39:01

Total sieving time: 8hrs 40min 51secs.

Total relation processing time: 1hrs 27min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

564571216773168964696597932587568783988992450711863755103736390709058571986208139188777094599928599772441627755249171389852481213481219845683105831754019902023<159>

529596425370396988441033685141<30>

1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1286284102
Step 1 took 59956ms
Step 2 took 22769ms
********** Factor found in step 2: 529596425370396988441033685141
Found probable prime factor of 30 digits: 529596425370396988441033685141
Composite cofactor 1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603 has 130 digits

1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603<130>

1439913428380119698405760397015117601529768771936500891<55>
740350384070782401163360517822531891176046172996896853326997547047224325233<75>

N = 1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603 (130 digits)
Divisors found:
r1=1439913428380119698405760397015117601529768771936500891 (pp55)
r2=740350384070782401163360517822531891176046172996896853326997547047224325233 (pp75)
Version: Msieve v. 1.47
Total time: 41.64 hours.
Factorization parameters were as follows:
n: 1066040459729898646608780313942483905057899819951751217393696545239667970228187209014584442702382658002418952937530698300578282603
Y0: -10871433427796180353757388
Y1: 91075092280363
c0: 9013106226628640777099882772745
c1: 377611220561377837645916862
c2: 1844771702107197377301
c3: -7599174822657898
c4: 4866174066
c5: 7020
skew: 429494.75 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19962250
Relations: 2274738 relations
Pruned matrix : 1303640 x 1303866
Polynomial selection time: 0.00 hours.
Total sieving time: 37.63 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.74 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 41.64 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

17478740071814775439643094102953317388284330101788221897348016399002110835287262215159147668418688455979274408966812675735691446623033908456570121111629126217256829047095534714748472011196863<191>

123701005416165257581340667266358068329<39>
2273441451127978162803256967762919469139668345553779<52>
62151715485212339004606919833843266999192163360610653176886599646723716130348290256362250998263112893<101>

N=17478740071814775439643094102953317388284330101788221897348016399002110835287262215159147668418688455979274408966812675735691446623033908456570121111629126217256829047095534714748472011196863
  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=123701005416165257581340667266358068329 (pp39)
 r2=2273441451127978162803256967762919469139668345553779 (pp52)
 r3=62151715485212339004606919833843266999192163360610653176886599646723716130348290256362250998263112893 (pp101)
Version: Msieve v. 1.50
Total time:
Scaled time: 178.00 units (timescale=1.900).
Factorization parameters were as follows:
n: 17478740071814775439643094102953317388284330101788221897348016399002110835287262215159147668418688455979274408966812675735691446623033908456570121111629126217256829047095534714748472011196863
m: 2000000000000000000000000000000000000000
deg: 5
c5: 21250
c0: -41
skew: 0.29
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 20280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3520221 x 3520455
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time:

15638141357170248086447210847858788598283333369253249465712352022100654098734625151212287663597295642048071290585271613083395166471515422729686708187243<152>

14265453138681684540627015030461482219<38>
2283472602259297734538843789464486544825892309<46>
480069105157044439563056089557353508588030044729628804642352387419133<69>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=474305043
Step 1 took 48575ms
Step 2 took 20734ms
********** Factor found in step 2: 14265453138681684540627015030461482219
Found probable prime factor of 38 digits: 14265453138681684540627015030461482219
Composite cofactor 1096224648817248716427995025037122344414053318548151333456144592445084888620013406729047387456381499083602304148097 has 115 digits

N=1096224648817248716427995025037122344414053318548151333456144592445084888620013406729047387456381499083602304148097
  ( 115 digits)
Divisors found:
 r1=2283472602259297734538843789464486544825892309 (pp46)
 r2=480069105157044439563056089557353508588030044729628804642352387419133 (pp69)
Version: Msieve v. 1.48
Total time: 3.19 hours.
Scaled time: 5.08 units (timescale=1.591).
Factorization parameters were as follows:
name: 115
n: 1096224648817248716427995025037122344414053318548151333456144592445084888620013406729047387456381499083602304148097
skew: 25124.99
# norm 2.48e+15
c5: 19500
c4: -4944188362
c3: -93662606223594
c2: 2777544443037069137
c1: 11129110702052198263170
c0: -196075109644482484085265904
# alpha -5.06
Y1: 696795052723
Y0: -8911990445880324134769
# Murphy_E 5.58e-10
# M 473886463499932844424546197941675289614142640492851734509974569834258475049295202522015445666060811648828155065761
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 472493 x 472720
Polynomial selection time: 2.78 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 3.19 hours.
 --------- CPU info (if available) ----------

35476696512044020233452405982692972253140269995251635099328645785156892411736320594248738533630304443143364517686120228483736513<128>

31333326829668934152996910219542468758731519545676172447573<59>
1132235230076233326957714959051447586859287159944334633418004853934781<70>

12/26/13 20:24:55 v1.34.3, 
12/26/13 20:24:55 v1.34.3, ****************************
12/26/13 20:24:55 v1.34.3, Starting factorization of 35476696512044020233452405982692972253140269995251635099328645785156892411736320594248738533630304443143364517686120228483736513
12/26/13 20:24:55 v1.34.3, using pretesting plan: normal
12/26/13 20:24:55 v1.34.3, using tune info for qs/gnfs crossover
12/26/13 20:24:55 v1.34.3, input indicated to have been pretested to t40.00
12/26/13 20:24:55 v1.34.3, ****************************
12/26/13 20:24:55 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C128
12/26/13 20:24:55 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C128
12/26/13 20:24:55 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C128
12/26/13 20:24:55 v1.34.3, final ECM pretested depth: 40.58
12/26/13 20:24:55 v1.34.3, scheduler: switching to sieve method
12/26/13 20:24:55 v1.34.3, nfs: commencing nfs on c128: 35476696512044020233452405982692972253140269995251635099328645785156892411736320594248738533630304443143364517686120228483736513
12/26/13 20:24:55 v1.34.3, nfs: commencing poly selection with 8 threads
12/26/13 20:24:55 v1.34.3, nfs: setting deadline of 5294 seconds
12/26/13 21:56:32 v1.34.3, nfs: completed 523 ranges of size 250 in 5497.1531 seconds
12/26/13 21:56:32 v1.34.3, nfs: best poly = # norm 3.546387e-12 alpha -6.371298 e 1.141e-10 rroots 3
12/26/13 21:56:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 22:07:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
[56 lines omitted]
12/27/13 08:54:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 09:06:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 09:19:07 v1.34.3, nfs: commencing msieve filtering
12/27/13 09:24:14 v1.34.3, nfs: commencing msieve linear algebra
12/27/13 10:02:35 v1.34.3, nfs: commencing msieve sqrt
12/27/13 10:09:13 v1.34.3, prp59 = 31333326829668934152996910219542468758731519545676172447573
12/27/13 10:09:13 v1.34.3, prp70 = 1132235230076233326957714959051447586859287159944334633418004853934781
12/27/13 10:09:13 v1.34.3, NFS elapsed time = 49458.3510 seconds.
12/27/13 10:09:13 v1.34.3, 
12/27/13 10:09:13 v1.34.3, 
12/27/13 10:09:13 v1.34.3, Total factoring time = 49458.3975 seconds

yafu 1.34.3

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

11722609100105091083554182106412018857605415430588805394102499743985679317718593987760563681093497015618085384931367307476841880859015414612453836355537<152>

7004512995967814274907459699<28>

1673579463247948045077594102058477707585615800114378527860525504154870648390036755102465024714931154714631606873820276955563<124>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2940316843
Step 1 took 3262ms
Step 2 took 2135ms
********** Factor found in step 2: 7004512995967814274907459699
Found probable prime factor of 28 digits: 7004512995967814274907459699
Composite cofactor 

1673579463247948045077594102058477707585615800114378527860525504154870648390036755102465024714931154714631606873820276955563<124>

3001929388977100612831104907075347062900869<43>
557501275477440779547897906257615043113367493321651875964611901379939682287650927<81>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1697334459
Step 1 took 24313ms
Step 2 took 16703ms
********** Factor found in step 2: 3001929388977100612831104907075347062900869
Found probable prime factor of 43 digits: 3001929388977100612831104907075347062900869
Probable prime cofactor 557501275477440779547897906257615043113367493321651875964611901379939682287650927 has 81 digits

GMP-ECM 7.0

2002264774304430587067828381823994244719508989784587218741348545449282424566062119257881658626878509856847749561591970831390882546415179<136>

36671223074643841844329280161852399230903808501<47>

54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679<89>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3387271337
Step 1 took 34500ms
Step 2 took 18828ms
********** Factor found in step 2: 36671223074643841844329280161852399230903808501
Found probable prime factor of 47 digits: 36671223074643841844329280161852399230903808501
Composite cofactor 54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679 has 89 digits

GMP-ECM 7.0

54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679<89>

621131696311465095256316207378987228821<39>
87904765578277573341098303856678981344007829722499<50>

Msieve v. 1.51 (SVN Official Release)
Mon Dec 23 18:14:21 2013
random seeds: bd438f14 a5d00b78
factoring 54600436157497236072443146417840059923441009555182500075472007656940491721549333444943679 (89 digits)
searching for 15-digit factors
commencing quadratic sieve (89-digit input)
using multiplier of 1
using VC8 64kb sieve core
sieve interval: 16 blocks of size 65536
processing polynomials in batches of 7
using a sieve bound of 1556189 (58956 primes)
using large prime bound of 124495120 (26 bits)
using double large prime bound of 372626841652480 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors
59248 relations (15655 full + 43593 combined from 629721 partial), need 59052
begin with 645376 relations
reduce to 145537 relations in 11 passes
attempting to read 145537 relations
recovered 145537 relations
recovered 123341 polynomials
attempting to build 59248 cycles
found 59248 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 15655
   length 2 : 11391
   length 3 : 10281
   length 4 : 8052
   length 5 : 5519
   length 6 : 3676
   length 7 : 2099
   length 9+: 2575
largest cycle: 18 relations
matrix is 58956 x 59248 (15.5 MB) with weight 3595829 (60.69/col)
sparse part has weight 3595829 (60.69/col)
filtering completed in 3 passes
matrix is 55076 x 55140 (14.5 MB) with weight 3369675 (61.11/col)
sparse part has weight 3369675 (61.11/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 55028 x 55140 (10.6 MB) with weight 2762478 (50.10/col)
sparse part has weight 2232106 (40.48/col)
using block size 22011 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 6.3 MB
lanczos halted after 871 iterations (dim = 55028)
recovered 18 nontrivial dependencies
prp39 factor: 621131696311465095256316207378987228821
prp50 factor: 87904765578277573341098303856678981344007829722499
elapsed time 00:56:36

183328667888336557356678837263805612515503067479535196044263412776924355868659352230259297102250459150692741071738853273251136846681668882921540749123533946928992735952016201509264042430018257648114803<201>

767845960835744862507135544704961<33>
238757090925889022360966848981730435244888422591519168683043679756595376650113898885242418862100852715915461683287365055213295492287590458690825949921280978661500348723<168>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1650170804
Step 1 took 12365ms
Step 2 took 7176ms
********** Factor found in step 2: 767845960835744862507135544704961
Found probable prime factor of 33 digits: 767845960835744862507135544704961
Probable prime cofactor

3728702532825751011628410058613895753229582469866254320630966098159573926904679357833843734664586510911562277551860554005067699953412166489368518815889831185010939222491216212563902189945727419<193>

42099710002474457536666247506295913782232025222611066521615230327756268051<74>
88568366209805063986197095130068645469183670385849011567858227556265874545083909277973631248155062065887432202789686969<119>

Number: n
N=3728702532825751011628410058613895753229582469866254320630966098159573926904679357833843734664586510911562277551860554005067699953412166489368518815889831185010939222491216212563902189945727419
  ( 193 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sat Jul  3 09:52:38 2021  p74 factor: 42099710002474457536666247506295913782232025222611066521615230327756268051
Sat Jul  3 09:52:38 2021  p119 factor: 88568366209805063986197095130068645469183670385849011567858227556265874545083909277973631248155062065887432202789686969
Sat Jul  3 09:52:38 2021  elapsed time 04:48:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 68x10^207-41 = 75(206)1
#
n: 3728702532825751011628410058613895753229582469866254320630966098159573926904679357833843734664586510911562277551860554005067699953412166489368518815889831185010939222491216212563902189945727419
m: 100000000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -41
skew: 0.36
# Murphy_E = 4.366e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7591017 hash collisions in 51061503 relations (45131873 unique)
Msieve: matrix is 3448093 x 3448318 (1207.0 MB)

Sieving start time : 2021/07/02 13:11:06
Sieving end time  : 2021/07/03 05:03:19

Total sieving time: 15hrs 52min 13secs.

Total relation processing time: 4hrs 27min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

494322241524116602864500042037307365154706014165892529552070363405044216379643974432902296733139678073232883887931891348963797562110737694840091769666813838883682628256815047697<177>

1173125130034750997982129789266251213419551<43>

421372135732420548033044843136486448100469121262146358615578759163959451367601612046396280515735018478033618396586653744892747318288847<135>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=475726841
Step 1 took 4967ms
Step 2 took 2634ms
********** Factor found in step 2: 1173125130034750997982129789266251213419551
Found probable prime factor of 43 digits: 1173125130034750997982129789266251213419551
Composite cofactor 

421372135732420548033044843136486448100469121262146358615578759163959451367601612046396280515735018478033618396586653744892747318288847<135>

6643469351015657625128776983233423064679<40>
63426519107520368144110683765019521795177228650130219059173172885042610384050029326324306530393<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=532486084
Step 1 took 50711ms
Step 2 took 24791ms
********** Factor found in step 2: 6643469351015657625128776983233423064679
Found probable prime factor of 40 digits: 6643469351015657625128776983233423064679

41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877<182>

6503989107748850824650024632312916277791955226725946161<55>
3013794586979971348660897925144712633220080386923043930579<58>
2136858745486616926914411269939379909161014911499859343856063886264383<70>

11/15/24 14:16:16,
11/15/24 14:16:16, ****************************
11/15/24 14:16:16, Starting factorization of 67999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959
11/15/24 14:16:16, using pretesting plan: normal
11/15/24 14:16:16, no tune info: using qs/gnfs crossover of 100 digits
11/15/24 14:16:16, no tune info: using qs/snfs crossover of 95 digits
11/15/24 14:16:16, ****************************
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, rho: x^2 + 3, starting 1000 iterations on C209
11/15/24 14:16:16, rho: x^2 + 2, starting 1000 iterations on C209
11/15/24 14:16:16, rho: x^2 + 1, starting 1000 iterations on C209
11/15/24 14:16:16, nfs: input divides 68*10^210 - 41
11/15/24 14:16:16, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, nfs: input divides 68*10^210 - 41
11/15/24 14:16:16, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, pm1: starting B1 = 150K, B2 = gmp-ecm default on C209
11/15/24 14:16:16, nfs: input divides 68*10^210 - 41
11/15/24 14:16:16, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, current ECM pretesting depth: 0.000000
11/15/24 14:16:17, scheduled 30 curves at B1=2000 toward target pretesting depth of 50.017650
11/15/24 14:16:17, ecm: commencing 32 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=2k, B2=200k
11/15/24 14:16:17, ecm: finished 128 curves using AVX-ECM method on C209 input, B1=2k, B2=200k
11/15/24 14:16:17, nfs: input divides 68*10^210 - 41
11/15/24 14:16:17, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, current ECM pretesting depth: 15.758294
11/15/24 14:16:17, scheduled 74 curves at B1=11000 toward target pretesting depth of 50.017650
11/15/24 14:16:17, ecm: commencing 80 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=11k, B2=1100k
11/15/24 14:16:17, ecm: finished 128 curves using AVX-ECM method on C209 input, B1=11k, B2=1100k
11/15/24 14:16:17, nfs: input divides 68*10^210 - 41
11/15/24 14:16:17, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, current ECM pretesting depth: 20.426864
11/15/24 14:16:17, scheduled 214 curves at B1=50000 toward target pretesting depth of 50.017650
11/15/24 14:16:17, ecm: commencing 224 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=50k, B2=5M
11/15/24 14:16:20, ecm: finished 256 curves using AVX-ECM method on C209 input, B1=50k, B2=5M
11/15/24 14:16:20, nfs: input divides 68*10^210 - 41
11/15/24 14:16:20, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:20, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:20, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C209
11/15/24 14:16:21, nfs: input divides 68*10^210 - 41
11/15/24 14:16:21, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:21, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:21, current ECM pretesting depth: 25.402199
11/15/24 14:16:21, scheduled 430 curves at B1=250000 toward target pretesting depth of 50.017650
11/15/24 14:16:22, ecm: commencing 432 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=250k, B2=25M
11/15/24 14:16:44, ecm: finished 512 curves using AVX-ECM method on C209 input, B1=250k, B2=25M
11/15/24 14:16:44, nfs: input divides 68*10^210 - 41
11/15/24 14:16:44, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:44, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:44, pm1: starting B1 = 15M, B2 = gmp-ecm default on C209
11/15/24 14:16:50, nfs: input divides 68*10^210 - 41
11/15/24 14:16:50, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:50, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:50, current ECM pretesting depth: 30.539948
11/15/24 14:16:50, scheduled 904 curves at B1=1000000 toward target pretesting depth of 50.017650
11/15/24 14:16:50, ecm: commencing 912 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=1M, B2=100M
11/15/24 14:17:11, ecm: finished 0 curves using AVX-ECM method on C209 input, B1=1M, B2=100M
11/15/24 14:17:11, prp28 = 2226958459489976829116144123 (curve=104 stg=2 B1=1000000 B2=100000000 sigma=3720918418 thread=13 vecpos=0)
11/15/24 14:17:11, nfs: input divides 68*10^210 - 41
11/15/24 14:17:11, nfs: using supplied cofactor: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:17:11, nfs: commencing snfs on c182: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:17:11, current ECM pretesting depth: 30.539948
11/15/24 14:17:11, scheduled 904 curves at B1=1000000 toward target pretesting depth of 43.556040
11/15/24 14:17:12, ecm: commencing 912 curves using AVX-ECM method on 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877, B1=1M, B2=100M
11/15/24 14:18:55, ecm: finished 1024 curves using AVX-ECM method on C182 input, B1=1M, B2=100M
11/15/24 14:18:55, nfs: input divides 68*10^210 - 41
11/15/24 14:18:55, nfs: using supplied cofactor: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:18:55, nfs: commencing snfs on c182: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:18:55, current ECM pretesting depth: 35.631566
11/15/24 14:18:55, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 43.556040
11/15/24 14:18:56, ecm: commencing 2352 curves using AVX-ECM method on 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877, B1=3M, B2=300M
11/15/24 14:21:12, nfs: commencing nfs on c212: 67999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959
11/15/24 14:21:12, nfs: input divides 68*10^210 - 41
11/15/24 14:21:12, nfs: using supplied cofactor: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:21:12, nfs: commencing snfs on c182: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:21:12, gen: best 2 polynomials:
n: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
# 68*10^210-41, difficulty: 210.00, anorm: 1.76e+35, rnorm: 5.79e+48
# scaled difficulty: 212.70, suggest sieving rational side
# size = 8.932e-15, alpha = 0.689, combined = 4.398e-12, rroots = 1
type: snfs
size: 210
skew: 1.0000
c5: 68
c0: -41
Y1: -1
Y0: 1000000000000000000000000000000000000000000
n: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
# 68*10^210-41, difficulty: 210.00, anorm: 1.02e+42, rnorm: 5.79e+41
# scaled difficulty: 210.05, suggest sieving algebraic side
# size = 1.266e-10, alpha = 0.347, combined = 3.959e-12, rroots = 2
type: snfs
size: 210
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
11/15/24 14:21:13, test: fb generation took 1.7700 seconds
11/15/24 14:21:13, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23801000
skew: 1.0000
c5: 68
c0: -41
Y1: -1
Y0: 1000000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/15/24 14:22:56, nfs: parsing special-q from .dat file
11/15/24 14:22:59, test: fb generation took 2.2740 seconds
11/15/24 14:22:59, test: commencing test sieving of polynomial 1 on the algebraic side over range 21400000-21401000
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 14:24:16, nfs: parsing special-q from .dat file
11/15/24 14:24:16, gen: selected polynomial:
n: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
# 68*10^210-41, difficulty: 210.00, anorm: 1.02e+42, rnorm: 5.79e+41
# scaled difficulty: 210.05, suggest sieving algebraic side
# size = 1.266e-10, alpha = 0.347, combined = 3.959e-12, rroots = 2
type: snfs
size: 210
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
11/15/24 14:24:18, test: fb generation took 2.2574 seconds
11/15/24 14:24:18, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21401000
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 14:25:42, nfs: parsing special-q from .dat file
11/17/24 17:25:53, nfs: commencing msieve filtering
11/17/24 19:31:35, nfs: raising min_rels by 5.00 percent to 22099282
11/17/24 22:42:38, nfs: commencing msieve filtering
11/18/24 00:49:12, nfs: raising min_rels by 5.00 percent to 23274464
11/18/24 04:02:02, nfs: commencing msieve filtering
11/18/24 06:08:20, nfs: raising min_rels by 5.00 percent to 24448893
11/18/24 09:32:59, nfs: commencing msieve filtering
11/18/24 11:42:32, nfs: raising min_rels by 5.00 percent to 25688087
11/18/24 15:27:00, nfs: commencing msieve filtering
11/18/24 17:26:27, nfs: raising min_rels by 5.00 percent to 27016823
11/18/24 21:28:45, nfs: commencing msieve filtering
11/18/24 23:32:28, nfs: raising min_rels by 5.00 percent to 28425036
11/19/24 03:50:29, nfs: commencing msieve filtering
11/19/24 05:50:19, nfs: commencing msieve linear algebra
11/19/24 07:27:11, nfs: commencing msieve sqrt
11/19/24 10:14:00, prp58 = 3013794586979971348660897925144712633220080386923043930579
11/19/24 10:14:00, prp70 = 2136858745486616926914411269939379909161014911499859343856063886264383
11/19/24 10:14:00, C31 = 1623452716968193108425669065667
11/19/24 10:14:00, prp55 = 6503989107748850824650024632312916277791955226725946161
11/15/24 14:24:16, test: test sieving took 184.12 seconds
11/15/24 14:25:42, test: test sieving took 86.42 seconds11/15/24 14:16:16,
11/15/24 14:16:16, ****************************
11/15/24 14:16:16, Starting factorization of 67999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959
11/15/24 14:16:16, using pretesting plan: normal
11/15/24 14:16:16, no tune info: using qs/gnfs crossover of 100 digits
11/15/24 14:16:16, no tune info: using qs/snfs crossover of 95 digits
11/15/24 14:16:16, ****************************
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, div: found prime factor = 3
11/15/24 14:16:16, rho: x^2 + 3, starting 1000 iterations on C209
11/15/24 14:16:16, rho: x^2 + 2, starting 1000 iterations on C209
11/15/24 14:16:16, rho: x^2 + 1, starting 1000 iterations on C209
11/15/24 14:16:16, nfs: input divides 68*10^210 - 41
11/15/24 14:16:16, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, nfs: input divides 68*10^210 - 41
11/15/24 14:16:16, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, pm1: starting B1 = 150K, B2 = gmp-ecm default on C209
11/15/24 14:16:16, nfs: input divides 68*10^210 - 41
11/15/24 14:16:16, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:16, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, current ECM pretesting depth: 0.000000
11/15/24 14:16:17, scheduled 30 curves at B1=2000 toward target pretesting depth of 50.017650
11/15/24 14:16:17, ecm: commencing 32 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=2k, B2=200k
11/15/24 14:16:17, ecm: finished 128 curves using AVX-ECM method on C209 input, B1=2k, B2=200k
11/15/24 14:16:17, nfs: input divides 68*10^210 - 41
11/15/24 14:16:17, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, current ECM pretesting depth: 15.758294
11/15/24 14:16:17, scheduled 74 curves at B1=11000 toward target pretesting depth of 50.017650
11/15/24 14:16:17, ecm: commencing 80 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=11k, B2=1100k
11/15/24 14:16:17, ecm: finished 128 curves using AVX-ECM method on C209 input, B1=11k, B2=1100k
11/15/24 14:16:17, nfs: input divides 68*10^210 - 41
11/15/24 14:16:17, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:17, current ECM pretesting depth: 20.426864
11/15/24 14:16:17, scheduled 214 curves at B1=50000 toward target pretesting depth of 50.017650
11/15/24 14:16:17, ecm: commencing 224 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=50k, B2=5M
11/15/24 14:16:20, ecm: finished 256 curves using AVX-ECM method on C209 input, B1=50k, B2=5M
11/15/24 14:16:20, nfs: input divides 68*10^210 - 41
11/15/24 14:16:20, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:20, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:20, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C209
11/15/24 14:16:21, nfs: input divides 68*10^210 - 41
11/15/24 14:16:21, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:21, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:21, current ECM pretesting depth: 25.402199
11/15/24 14:16:21, scheduled 430 curves at B1=250000 toward target pretesting depth of 50.017650
11/15/24 14:16:22, ecm: commencing 432 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=250k, B2=25M
11/15/24 14:16:44, ecm: finished 512 curves using AVX-ECM method on C209 input, B1=250k, B2=25M
11/15/24 14:16:44, nfs: input divides 68*10^210 - 41
11/15/24 14:16:44, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:44, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:44, pm1: starting B1 = 15M, B2 = gmp-ecm default on C209
11/15/24 14:16:50, nfs: input divides 68*10^210 - 41
11/15/24 14:16:50, nfs: using supplied cofactor: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:50, nfs: commencing snfs on c209: 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871
11/15/24 14:16:50, current ECM pretesting depth: 30.539948
11/15/24 14:16:50, scheduled 904 curves at B1=1000000 toward target pretesting depth of 50.017650
11/15/24 14:16:50, ecm: commencing 912 curves using AVX-ECM method on 93278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871, B1=1M, B2=100M
11/15/24 14:17:11, ecm: finished 0 curves using AVX-ECM method on C209 input, B1=1M, B2=100M
11/15/24 14:17:11, prp28 = 2226958459489976829116144123 (curve=104 stg=2 B1=1000000 B2=100000000 sigma=3720918418 thread=13 vecpos=0)
11/15/24 14:17:11, nfs: input divides 68*10^210 - 41
11/15/24 14:17:11, nfs: using supplied cofactor: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:17:11, nfs: commencing snfs on c182: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:17:11, current ECM pretesting depth: 30.539948
11/15/24 14:17:11, scheduled 904 curves at B1=1000000 toward target pretesting depth of 43.556040
11/15/24 14:17:12, ecm: commencing 912 curves using AVX-ECM method on 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877, B1=1M, B2=100M
11/15/24 14:18:55, ecm: finished 1024 curves using AVX-ECM method on C182 input, B1=1M, B2=100M
11/15/24 14:18:55, nfs: input divides 68*10^210 - 41
11/15/24 14:18:55, nfs: using supplied cofactor: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:18:55, nfs: commencing snfs on c182: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:18:55, current ECM pretesting depth: 35.631566
11/15/24 14:18:55, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 43.556040
11/15/24 14:18:56, ecm: commencing 2352 curves using AVX-ECM method on 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877, B1=3M, B2=300M
11/15/24 14:21:12, nfs: commencing nfs on c212: 67999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959
11/15/24 14:21:12, nfs: input divides 68*10^210 - 41
11/15/24 14:21:12, nfs: using supplied cofactor: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:21:12, nfs: commencing snfs on c182: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
11/15/24 14:21:12, gen: best 2 polynomials:
n: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
# 68*10^210-41, difficulty: 210.00, anorm: 1.76e+35, rnorm: 5.79e+48
# scaled difficulty: 212.70, suggest sieving rational side
# size = 8.932e-15, alpha = 0.689, combined = 4.398e-12, rroots = 1
type: snfs
size: 210
skew: 1.0000
c5: 68
c0: -41
Y1: -1
Y0: 1000000000000000000000000000000000000000000
n: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
# 68*10^210-41, difficulty: 210.00, anorm: 1.02e+42, rnorm: 5.79e+41
# scaled difficulty: 210.05, suggest sieving algebraic side
# size = 1.266e-10, alpha = 0.347, combined = 3.959e-12, rroots = 2
type: snfs
size: 210
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
11/15/24 14:21:13, test: fb generation took 1.7700 seconds
11/15/24 14:21:13, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23801000
skew: 1.0000
c5: 68
c0: -41
Y1: -1
Y0: 1000000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/15/24 14:22:56, nfs: parsing special-q from .dat file
11/15/24 14:22:59, test: fb generation took 2.2740 seconds
11/15/24 14:22:59, test: commencing test sieving of polynomial 1 on the algebraic side over range 21400000-21401000
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 14:24:16, nfs: parsing special-q from .dat file
11/15/24 14:24:16, gen: selected polynomial:
n: 41886036648477434299157709089312082113270026796194178324328505264732405767167825995835978842146282596239787445821429446481048778297346766969676171987625699280713084606528943378230877
# 68*10^210-41, difficulty: 210.00, anorm: 1.02e+42, rnorm: 5.79e+41
# scaled difficulty: 210.05, suggest sieving algebraic side
# size = 1.266e-10, alpha = 0.347, combined = 3.959e-12, rroots = 2
type: snfs
size: 210
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
11/15/24 14:24:18, test: fb generation took 2.2574 seconds
11/15/24 14:24:18, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21401000
skew: 1.0000
c6: 68
c0: -41
Y1: -1
Y0: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/15/24 14:25:42, nfs: parsing special-q from .dat file
11/17/24 17:25:53, nfs: commencing msieve filtering
11/17/24 19:31:35, nfs: raising min_rels by 5.00 percent to 22099282
11/17/24 22:42:38, nfs: commencing msieve filtering
11/18/24 00:49:12, nfs: raising min_rels by 5.00 percent to 23274464
11/18/24 04:02:02, nfs: commencing msieve filtering
11/18/24 06:08:20, nfs: raising min_rels by 5.00 percent to 24448893
11/18/24 09:32:59, nfs: commencing msieve filtering
11/18/24 11:42:32, nfs: raising min_rels by 5.00 percent to 25688087
11/18/24 15:27:00, nfs: commencing msieve filtering
11/18/24 17:26:27, nfs: raising min_rels by 5.00 percent to 27016823
11/18/24 21:28:45, nfs: commencing msieve filtering
11/18/24 23:32:28, nfs: raising min_rels by 5.00 percent to 28425036
11/19/24 03:50:29, nfs: commencing msieve filtering
11/19/24 05:50:19, nfs: commencing msieve linear algebra
11/19/24 07:27:11, nfs: commencing msieve sqrt
11/19/24 10:14:00, prp58 = 3013794586979971348660897925144712633220080386923043930579
11/19/24 10:14:00, prp70 = 2136858745486616926914411269939379909161014911499859343856063886264383
11/19/24 10:14:00, C31 = 1623452716968193108425669065667
11/19/24 10:14:00, prp55 = 6503989107748850824650024632312916277791955226725946161
11/15/24 14:24:16, test: test sieving took 184.12 seconds
11/15/24 14:25:42, test: test sieving took 86.42 seconds

YAFU

718863825033262291416371424321169997895667739845533729993978933055618371250621162877789317014772678745031538951037000740283114081305541134482461351877899801380225200975456997980189450460155776686005809<201>

3121313171630743239061769866940829038822468936788771<52>
230308138115371759471294776404972281701050433631691730186424223810157112295269001952067430065019030149930699491634858162980510259468604822522542669979<150>

Number: n
N=718863825033262291416371424321169997895667739845533729993978933055618371250621162877789317014772678745031538951037000740283114081305541134482461351877899801380225200975456997980189450460155776686005809  ( 201 digits)
SNFS difficulty: 213 digits.
Divisors found:

Sat Oct  3 16:36:41 2020  p52 factor: 3121313171630743239061769866940829038822468936788771
Sat Oct  3 16:36:41 2020  p150 factor: 230308138115371759471294776404972281701050433631691730186424223810157112295269001952067430065019030149930699491634858162980510259468604822522542669979
Sat Oct  3 16:36:41 2020  elapsed time 06:34:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 68x10^212-41 = 75(211)1
#
n: 718863825033262291416371424321169997895667739845533729993978933055618371250621162877789317014772678745031538951037000740283114081305541134482461351877899801380225200975456997980189450460155776686005809
m: 100000000000000000000000000000000000
deg: 6
c6: 6800
c0: -41
skew: 0.43
# Murphy_E = 2.771e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9476332 hash collisions in 54422031 relations (46798736 unique)
Msieve: matrix is 3901223 x 3901448 (1361.7 MB)

Sieving start time: 2020/10/02 10:30:12
Sieving end time  : 2020/10/03 10:01:41

Total sieving time: 23hrs 31min 29secs.

Total relation processing time: 6hrs 6min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 31sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.153144] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283120K/16703460K available (12300K kernel code, 2482K rwdata, 4272K rodata, 2436K init, 2724K bss, 420340K reserved, 0K cma-reserved)
[    0.188717] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.74 BogoMIPS (lpj=11977488)
[    0.186225] smpboot: Total of 16 processors activated (95819.90 BogoMIPS)

1202599043561833292773805863721682231960142150456141255129132051868622526706181438348297181769141188746432150667646863755468386426802291269961292423109345699961282940796325557<175>

575061656537849468062115791850830600085275622248710251897782142565530185485725330823849124903089554097247954714347274296601356593964223704924923814498384357642509286565069466604056644806621437<192>

11248353260203809161412415172507344409<38>

51124075074383813688406534802404998598850471757917015723462272234700906138833992061634890985652825189170721115545105005592959935551110454175396725982594693<155>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1421616542
Step 1 took 13785ms
Step 2 took 9901ms
********** Factor found in step 2: 11248353260203809161412415172507344409
Found probable prime factor of 38 digits: 11248353260203809161412415172507344409
Composite cofactor

51124075074383813688406534802404998598850471757917015723462272234700906138833992061634890985652825189170721115545105005592959935551110454175396725982594693<155>

75562146525108640517873510548804907072953<41>

676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3051718202
Step 1 took 11707ms
Step 2 took 4469ms
********** Factor found in step 2: 75562146525108640517873510548804907072953
Found probable prime factor of 41 digits: 75562146525108640517873510548804907072953
Composite cofactor 

676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581<114>

816190879691133302806976874539784566067511<42>
828952107006829757053986836692594667773537906879129058861196725275037371<72>

N=676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581
  ( 114 digits)
Divisors found:
 r1=816190879691133302806976874539784566067511 (pp42)
 r2=828952107006829757053986836692594667773537906879129058861196725275037371 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 30.64 hours.
Scaled time: 52.40 units (timescale=1.710).
Factorization parameters were as follows:
n: 676583149439722845997682733694678536757720880696163086001158829032875288732991489780811900368743784059059033953581
skew: 42477.63
c0: 700313378444675711544772215
c1: -26581371359392811462454
c2: -3762145595073021000
c3: 28034869374083
c4: 1169375866
c5: 11160
Y0: -9047539754560119739456
Y1: 891190066283
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 380306 x 380540
Total sieving time: 30.04 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 30.64 hours.
 --------- CPU info (if available) ----------

5624015279245686338208073629230406062446071366417770470383190155843634917441191405881247329687484827871230130055644263431738966495663741723007976963876035633774608900887111056876870066054399<190>

985309395513725857956329413910479649231849442283707268811136701939821260298665933923295137157192959619232473822497275449253596235753273638536179929971111627<156>

2054263948238166175335478739<28>
479641088166286397026336671778836127958375103265079390935280342172013940170170528613556243708592777948878188812401444659963185193<129>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4197902292
Step 1 took 3654ms
Step 2 took 1984ms
********** Factor found in step 2: 2054263948238166175335478739
Found probable prime factor of 28 digits: 2054263948238166175335478739
Probable prime cofactor 

337100215785795947376858442457262048497548746816134773389112855604398968633050690214100910131774428770601819389765512670584148963496100990416512462377472554886681743692826893793734740174929350733271<198>

360515952168071796039634771296689808659656880531809278613450072216146972540184689389600329085927020237740675697040380445611098013983701368882211106811484924757915131272077208095669101706915111091982539<201>

477268847150914832518671686327<30>

755372897938328712366445766634639592262622740455482188317849993765260960858750221977486673976027585487181632002811263650557028120911718005452242871474164701145034472879757<171>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=872832436
Step 1 took 5553ms
Step 2 took 2519ms
********** Factor found in step 2: 477268847150914832518671686327
Found probable prime factor of 30 digits: 477268847150914832518671686327
Composite cofactor 

755372897938328712366445766634639592262622740455482188317849993765260960858750221977486673976027585487181632002811263650557028120911718005452242871474164701145034472879757<171>

68888594743799231525639140472524177067<38>
10965137273413767667084964740080609566449774680193732090202728354874439353059901490384102045729433931257972122039967595310181900124071<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=548925951
Step 1 took 19411ms
Step 2 took 8215ms
********** Factor found in step 2: 68888594743799231525639140472524177067
Found probable prime factor of 38 digits: 68888594743799231525639140472524177067

48464274480884327466348122348641919527333768829866829216512735514871476730560209360399661980520273377259122632710461089283591542082833060697951822614222317036987030662337833283765483<182>

63922013842397669738101236939757105372983681475139<50>
758178154405068828936657947251411826915731409307315001628199216752375759980398637771113552607175636341381973539182439070391872343097<132>

Number: 75551_220
N = 48464274480884327466348122348641919527333768829866829216512735514871476730560209360399661980520273377259122632710461089283591542082833060697951822614222317036987030662337833283765483 (182 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=63922013842397669738101236939757105372983681475139 (pp50)
r2=758178154405068828936657947251411826915731409307315001628199216752375759980398637771113552607175636341381973539182439070391872343097 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.39 hours.
Factorization parameters were as follows:
n: 48464274480884327466348122348641919527333768829866829216512735514871476730560209360399661980520273377259122632710461089283591542082833060697951822614222317036987030662337833283765483
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 68
c0: -41
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: 8114542 relations
Pruned matrix : 7075087 x 7075313
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 28.97 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 34.89 hours.
time per square root: 0.22 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: 64.39 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

49087444209743320751202400668586374237931693731735131431763715911356121470349187011952999638395595239587610558801321219489608789251795315254293778631701310626075395191455024470360759946229<188>

307211446920408649634224706467316651<36>
159783903568087869469594781563300659266901553025801590526964904292492353188783148391793953849723404409105701153882524235315724177438937860150164607110879<153>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1196708976
Step 1 took 13725ms
Step 2 took 9919ms
********** Factor found in step 2: 307211446920408649634224706467316651
Found probable prime factor of 36 digits: 307211446920408649634224706467316651
Probable prime cofactor

6665796358464808305465019806331583762983994406272892279306069222980674991921919474546576442974178157089349013805444046874145263724512127776337954813159232419<157>

298095815833858053591594308350758097920155879980531856610960410623573579<72>
22361254349775746692366157109260276499602362469080291448537699262578068122780769437961<86>

Number: 75551_222
N = 6665796358464808305465019806331583762983994406272892279306069222980674991921919474546576442974178157089349013805444046874145263724512127776337954813159232419 (157 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=298095815833858053591594308350758097920155879980531856610960410623573579 (pp72)
r2=22361254349775746692366157109260276499602362469080291448537699262578068122780769437961 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.40 hours.
Factorization parameters were as follows:
n: 6665796358464808305465019806331583762983994406272892279306069222980674991921919474546576442974178157089349013805444046874145263724512127776337954813159232419
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6800
c0: -41
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: 34078069
Relations: 9679860 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.96 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 8258584 x 8258809
Matrix solve time: 38.64 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 71.40 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3534490203773188859592975895952579291827110823293424721392370619502088410382154714829145534662787465007866959919590346249521663885284228743605244171654947574230902076750839798495122131263709941883202888589572101<211>

38582094865421236365338834338006565166785231589071160011671<59>
91609598081749975124552327391391250009334928968367035741278443927306363122056409198642083977574192720840225989588660040155073081337980617025974354779331<152>

Number: n
N=3534490203773188859592975895952579291827110823293424721392370619502088410382154714829145534662787465007866959919590346249521663885284228743605244171654947574230902076750839798495122131263709941883202888589572101  ( 211 digits)
SNFS difficulty: 224 digits.
Divisors found:

Mon Apr 27 17:25:29 2020  p59 factor: 38582094865421236365338834338006565166785231589071160011671
Mon Apr 27 17:25:29 2020  p152 factor: 91609598081749975124552327391391250009334928968367035741278443927306363122056409198642083977574192720840225989588660040155073081337980617025974354779331
Mon Apr 27 17:25:29 2020  elapsed time 16:06:10 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 68x10^223-41 = 75(222)1
#
n: 3534490203773188859592975895952579291827110823293424721392370619502088410382154714829145534662787465007866959919590346249521663885284228743605244171654947574230902076750839798495122131263709941883202888589572101
m: 10000000000000000000000000000000000000
deg: 6
c6: 680
c0: -41
skew: 0.63
# Murphy_E = 1.325e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 124300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10336645 hash collisions in 57943480 relations (49489517 unique)
Msieve: matrix is 5797267 x 5797492 (2043.3 MB)

Sieving start time: 2020/04/24 05:43:06
Sieving end time  : 2020/04/27 01:17:37

Total sieving time: 67hrs 34min 31secs.

Total relation processing time: 15hrs 31min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 32sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 BogoMIPS)

341576694572908463035204516682215034364564721627665162651586306358752068017639956628815590196155185369612656398024418993698548582853089648954971748833806292404939225867526647197760532491721229639352837958443850968902083<219>

14228918183720443607449257166771291065076375810839087675245867336262816488805189370161121573550952082025528353211969031178070726093324963381460556601799539652646997279765641347562251517053776940782590500104624398409709144172421<227>

3146702638403956637244170496196137639147943591159148558214819860211178838580299<79>
4521850272746938910834817988761210278176906914312896851643145205078587119883462485157698630199765450097161083159801273678706493620329907055509031279<148>

Number: n
N=14228918183720443607449257166771291065076375810839087675245867336262816488805189370161121573550952082025528353211969031178070726093324963381460556601799539652646997279765641347562251517053776940782590500104624398409709144172421
  ( 227 digits)
SNFS difficulty: 229 digits.
Divisors found:

Wed Nov 28 23:49:54 2018  p79 factor: 3146702638403956637244170496196137639147943591159148558214819860211178838580299
Wed Nov 28 23:49:54 2018  p148 factor: 4521850272746938910834817988761210278176906914312896851643145205078587119883462485157698630199765450097161083159801273678706493620329907055509031279
Wed Nov 28 23:49:54 2018  elapsed time 22:28:39 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 68x10^228-41 = 75(227)1
#
n: 14228918183720443607449257166771291065076375810839087675245867336262816488805189370161121573550952082025528353211969031178070726093324963381460556601799539652646997279765641347562251517053776940782590500104624398409709144172421
m: 100000000000000000000000000000000000000
deg: 6
c6: 68
c0: -41
skew: 0.92
# Murphy_E = 9.689e-13
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 99500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 19577336 hash collisions in 109724649 relations (92481198 unique)
Msieve: matrix is 6581928 x 6582153 (2304.6 MB)

Sieving start time: 2018/11/25 22:45:04
Sieving end time  : 2018/11/28 01:17:43

Total sieving time: 50hrs 32min 39secs.

Total relation processing time: 21hrs 3min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 54sec.

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