45093693218162417481190665239343051448102563585027254244884665010745083047950004405879295880559<95>

9186828629119407926454634128964200491361107827<46>
4908515771724460431416977418331408660255367242517<49>

Number: 33353_103
N=45093693218162417481190665239343051448102563585027254244884665010745083047950004405879295880559
  ( 95 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=9186828629119407926454634128964200491361107827 (pp46)
 r2=4908515771724460431416977418331408660255367242517 (pp49)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.29 hours.
Scaled time: 0.49 units (timescale=1.669).
Factorization parameters were as follows:
n: 45093693218162417481190665239343051448102563585027254244884665010745083047950004405879295880559
m: 20000000000000000000000000
c4: 125
c0: 118
skew: 0.99
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 32690 x 32915
Total sieving time: 0.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.29 hours.
 --------- CPU info (if available) ----------

118623962040332147093712930011862396204033214709371293001186239620403321470937129300118623962040332147093713<108>

18689167483972074237351056564777569725193223802247123<53>
6347204183496384445544071558422847419212868605192352331<55>

Number: 33353_110
N=118623962040332147093712930011862396204033214709371293001186239620403321470937129300118623962040332147093713
  ( 108 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=18689167483972074237351056564777569725193223802247123 (pp53)
 r2=6347204183496384445544071558422847419212868605192352331 (pp55)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.37 hours.
Scaled time: 2.51 units (timescale=1.826).
Factorization parameters were as follows:
n: 118623962040332147093712930011862396204033214709371293001186239620403321470937129300118623962040332147093713
m: 10000000000000000000000
c5: 1
c0: 59
skew: 2.26
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62092 x 62319
Total sieving time: 1.34 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,110.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.37 hours.
 --------- CPU info (if available) ----------

815413797509293847050977404913052578209011349818743612851068377930328365879101739874026242142431633<99>

42597893936225462505042741043<29>
66819842461769111415058666288718461<35>
286473517454057675939023528879190471<36>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 815413797509293847050977404913052578209011349818743612851068377930328365879101739874026242142431633 (99 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1440269474
Step 1 took 639ms
Step 2 took 312ms
********** Factor found in step 2: 42597893936225462505042741043
Found probable prime factor of 29 digits: 42597893936225462505042741043
Composite cofactor 19142115305748997763839266276598017837655765834902156153960613712985131 has 71 digits

Msieve v. 1.51 (SVN Official Release)
Mon Dec 08 22:09:36 2014
random seeds: c2c2e34c 6f9868ef
factoring 19142115305748997763839266276598017837655765834902156153960613712985131 (71 digits)
searching for 15-digit factors
commencing quadratic sieve (71-digit input)
using multiplier of 11
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 247601 (11063 primes)
using large prime bound of 24760100 (24 bits)
using trial factoring cutoff of 25 bits
polynomial 'A' values have 9 factors
11490 relations (5398 full + 6092 combined from 65083 partial), need 11159
begin with 70481 relations
reduce to 16848 relations in 2 passes
attempting to read 16848 relations
recovered 16848 relations
recovered 14335 polynomials
attempting to build 11490 cycles
found 11490 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 5398
   length 2 : 6092
largest cycle: 2 relations
matrix is 11063 x 11490 (1.6 MB) with weight 334176 (29.08/col)
sparse part has weight 334176 (29.08/col)
filtering completed in 3 passes
matrix is 8901 x 8965 (1.3 MB) with weight 278397 (31.05/col)
sparse part has weight 278397 (31.05/col)
commencing Lanczos iteration
memory use: 1.4 MB
lanczos halted after 142 iterations (dim = 8899)
recovered 64 nontrivial dependencies
prp35 factor: 66819842461769111415058666288718461
prp36 factor: 286473517454057675939023528879190471
elapsed time 00:01:06

19462591522355404568129119277854623250877959225072746007815790174254575576609880936810016168607<95>

103562649833284741415155574807917370047<39>
187930605809008403237889539116629379071455174993506408481<57>

Number: 33353_114
N=19462591522355404568129119277854623250877959225072746007815790174254575576609880936810016168607
  ( 95 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=103562649833284741415155574807917370047 (pp39)
 r2=187930605809008403237889539116629379071455174993506408481 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.68 hours.
Scaled time: 2.85 units (timescale=1.696).
Factorization parameters were as follows:
n: 19462591522355404568129119277854623250877959225072746007815790174254575576609880936810016168607
m: 50000000000000000000000
c5: 16
c0: 295
skew: 1.79
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70865 x 71090
Total sieving time: 1.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.68 hours.
 --------- CPU info (if available) ----------

112405079933808904707347760393100696532588190933914537101826998476740769686164674120649207486986034099<102>

10099978736722423187753206119152366735301276105239<50>
11129239265139863181604749005947580421614148892268741<53>

Number: 33353_117
N=112405079933808904707347760393100696532588190933914537101826998476740769686164674120649207486986034099
  ( 102 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=10099978736722423187753206119152366735301276105239 (pp50)
 r2=11129239265139863181604749005947580421614148892268741 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.84 hours.
Scaled time: 3.06 units (timescale=1.666).
Factorization parameters were as follows:
n: 112405079933808904707347760393100696532588190933914537101826998476740769686164674120649207486986034099
m: 100000000000000000000000
c5: 100
c0: 59
skew: 0.90
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 90047 x 90273
Total sieving time: 1.78 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

175041262039097321313810001147045390142204746569396937516588441601867704269258131546204057817039066076448536022275190875057<123>

3487263983131096066417992884825740668351218676474811<52>
50194439791717089431787106736741744771631679811517255937175602476851587<71>

12/20/14 06:55:34 v1.34.3, 
12/20/14 06:55:34 v1.34.3, ****************************
12/20/14 06:55:34 v1.34.3, Starting factorization of 175041262039097321313810001147045390142204746569396937516588441601867704269258131546204057817039066076448536022275190875057
12/20/14 06:55:34 v1.34.3, using pretesting plan: none
12/20/14 06:55:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 06:55:34 v1.34.3, ****************************
12/20/14 06:55:34 v1.34.3, nfs: commencing nfs on c123: 175041262039097321313810001147045390142204746569396937516588441601867704269258131546204057817039066076448536022275190875057
12/20/14 06:55:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 06:55:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:56:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
12/20/14 07:28:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:29:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 07:30:58 v1.34.3, nfs: commencing msieve filtering
12/20/14 07:31:58 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 07:33:30 v1.34.3, nfs: commencing msieve sqrt
12/20/14 07:33:40 v1.34.3, prp71 = 50194439791717089431787106736741744771631679811517255937175602476851587
12/20/14 07:33:41 v1.34.3, prp52 = 3487263983131096066417992884825740668351218676474811
12/20/14 07:33:41 v1.34.3, NFS elapsed time = 2287.0663 seconds.
12/20/14 07:33:41 v1.34.3, 
12/20/14 07:33:41 v1.34.3, 
12/20/14 07:33:41 v1.34.3, Total factoring time = 2287.0672 seconds
--
Sat Dec 20 07:30:58 2014  
Sat Dec 20 07:30:58 2014  commencing relation filtering
Sat Dec 20 07:30:58 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 07:30:58 2014  commencing duplicate removal, pass 1
Sat Dec 20 07:31:20 2014  found 564713 hash collisions in 4488344 relations
Sat Dec 20 07:31:26 2014  added 170331 free relations
Sat Dec 20 07:31:26 2014  commencing duplicate removal, pass 2
Sat Dec 20 07:31:31 2014  found 383679 duplicates and 4274996 unique relations
Sat Dec 20 07:31:31 2014  memory use: 20.6 MB
Sat Dec 20 07:31:31 2014  reading ideals above 100000
Sat Dec 20 07:31:31 2014  commencing singleton removal, initial pass
Sat Dec 20 07:31:52 2014  memory use: 94.1 MB
Sat Dec 20 07:31:52 2014  reading all ideals from disk
Sat Dec 20 07:31:52 2014  memory use: 127.4 MB
Sat Dec 20 07:31:53 2014  keeping 4123081 ideals with weight <= 200, target excess is 23269
Sat Dec 20 07:31:53 2014  commencing in-memory singleton removal
Sat Dec 20 07:31:53 2014  begin with 4274996 relations and 4123081 unique ideals
Sat Dec 20 07:31:53 2014  reduce to 2155179 relations and 1427133 ideals in 9 passes
Sat Dec 20 07:31:53 2014  max relations containing the same ideal: 126
Sat Dec 20 07:31:54 2014  removing 855641 relations and 505114 ideals in 350527 cliques
Sat Dec 20 07:31:54 2014  commencing in-memory singleton removal
Sat Dec 20 07:31:54 2014  begin with 1299538 relations and 1427133 unique ideals
Sat Dec 20 07:31:54 2014  reduce to 1221882 relations and 834487 ideals in 6 passes
Sat Dec 20 07:31:54 2014  max relations containing the same ideal: 85
Sat Dec 20 07:31:54 2014  removing 406446 relations and 224607 ideals in 181839 cliques
Sat Dec 20 07:31:54 2014  commencing in-memory singleton removal
Sat Dec 20 07:31:54 2014  begin with 815436 relations and 834487 unique ideals
Sat Dec 20 07:31:55 2014  reduce to 783592 relations and 575293 ideals in 6 passes
Sat Dec 20 07:31:55 2014  max relations containing the same ideal: 59
Sat Dec 20 07:31:55 2014  removing 197740 relations and 109643 ideals in 88097 cliques
Sat Dec 20 07:31:55 2014  commencing in-memory singleton removal
Sat Dec 20 07:31:55 2014  begin with 585852 relations and 575293 unique ideals
Sat Dec 20 07:31:55 2014  reduce to 565494 relations and 443802 ideals in 6 passes
Sat Dec 20 07:31:55 2014  max relations containing the same ideal: 48
Sat Dec 20 07:31:55 2014  removing 143235 relations and 79629 ideals in 63606 cliques
Sat Dec 20 07:31:55 2014  commencing in-memory singleton removal
Sat Dec 20 07:31:55 2014  begin with 422259 relations and 443802 unique ideals
Sat Dec 20 07:31:55 2014  reduce to 404839 relations and 345460 ideals in 5 passes
Sat Dec 20 07:31:55 2014  max relations containing the same ideal: 38
Sat Dec 20 07:31:55 2014  removing 78695 relations and 46309 ideals in 32386 cliques
Sat Dec 20 07:31:55 2014  commencing in-memory singleton removal
Sat Dec 20 07:31:55 2014  begin with 326144 relations and 345460 unique ideals
Sat Dec 20 07:31:55 2014  reduce to 313839 relations and 285991 ideals in 6 passes
Sat Dec 20 07:31:55 2014  max relations containing the same ideal: 33
Sat Dec 20 07:31:55 2014  relations with 0 large ideals: 517
Sat Dec 20 07:31:55 2014  relations with 1 large ideals: 684
Sat Dec 20 07:31:55 2014  relations with 2 large ideals: 6323
Sat Dec 20 07:31:55 2014  relations with 3 large ideals: 28389
Sat Dec 20 07:31:55 2014  relations with 4 large ideals: 66166
Sat Dec 20 07:31:55 2014  relations with 5 large ideals: 90253
Sat Dec 20 07:31:55 2014  relations with 6 large ideals: 76141
Sat Dec 20 07:31:55 2014  relations with 7+ large ideals: 45366
Sat Dec 20 07:31:55 2014  commencing 2-way merge
Sat Dec 20 07:31:55 2014  reduce to 251253 relation sets and 223405 unique ideals
Sat Dec 20 07:31:55 2014  commencing full merge
Sat Dec 20 07:31:57 2014  memory use: 26.3 MB
Sat Dec 20 07:31:57 2014  found 115509 cycles, need 111605
Sat Dec 20 07:31:57 2014  weight of 111605 cycles is about 8170725 (73.21/cycle)
Sat Dec 20 07:31:57 2014  distribution of cycle lengths:
Sat Dec 20 07:31:57 2014  1 relations: 5463
Sat Dec 20 07:31:57 2014  2 relations: 9030
Sat Dec 20 07:31:57 2014  3 relations: 11253
Sat Dec 20 07:31:57 2014  4 relations: 11539
Sat Dec 20 07:31:57 2014  5 relations: 11343
Sat Dec 20 07:31:57 2014  6 relations: 10625
Sat Dec 20 07:31:57 2014  7 relations: 9619
Sat Dec 20 07:31:57 2014  8 relations: 8349
Sat Dec 20 07:31:57 2014  9 relations: 7112
Sat Dec 20 07:31:57 2014  10+ relations: 27272
Sat Dec 20 07:31:57 2014  heaviest cycle: 21 relations
Sat Dec 20 07:31:57 2014  commencing cycle optimization
Sat Dec 20 07:31:57 2014  start with 769235 relations
Sat Dec 20 07:31:58 2014  pruned 44547 relations
Sat Dec 20 07:31:58 2014  memory use: 20.6 MB
Sat Dec 20 07:31:58 2014  distribution of cycle lengths:
Sat Dec 20 07:31:58 2014  1 relations: 5463
Sat Dec 20 07:31:58 2014  2 relations: 9410
Sat Dec 20 07:31:58 2014  3 relations: 12035
Sat Dec 20 07:31:58 2014  4 relations: 12306
Sat Dec 20 07:31:58 2014  5 relations: 12256
Sat Dec 20 07:31:58 2014  6 relations: 11313
Sat Dec 20 07:31:58 2014  7 relations: 10193
Sat Dec 20 07:31:58 2014  8 relations: 8580
Sat Dec 20 07:31:58 2014  9 relations: 7169
Sat Dec 20 07:31:58 2014  10+ relations: 22880
Sat Dec 20 07:31:58 2014  heaviest cycle: 21 relations
Sat Dec 20 07:31:58 2014  RelProcTime: 60
Sat Dec 20 07:31:58 2014  
Sat Dec 20 07:31:58 2014  commencing linear algebra
Sat Dec 20 07:31:58 2014  read 111605 cycles
Sat Dec 20 07:31:58 2014  cycles contain 299648 unique relations
Sat Dec 20 07:32:02 2014  read 299648 relations
Sat Dec 20 07:32:02 2014  using 20 quadratic characters above 67033794
Sat Dec 20 07:32:03 2014  building initial matrix
Sat Dec 20 07:32:07 2014  memory use: 37.4 MB
Sat Dec 20 07:32:07 2014  read 111605 cycles
Sat Dec 20 07:32:07 2014  matrix is 111427 x 111605 (33.3 MB) with weight 9989186 (89.50/col)
Sat Dec 20 07:32:07 2014  sparse part has weight 7500851 (67.21/col)
Sat Dec 20 07:32:08 2014  filtering completed in 2 passes
Sat Dec 20 07:32:08 2014  matrix is 111384 x 111562 (33.3 MB) with weight 9987092 (89.52/col)
Sat Dec 20 07:32:08 2014  sparse part has weight 7499727 (67.22/col)
Sat Dec 20 07:32:08 2014  matrix starts at (0, 0)
Sat Dec 20 07:32:08 2014  matrix is 111384 x 111562 (33.3 MB) with weight 9987092 (89.52/col)
Sat Dec 20 07:32:08 2014  sparse part has weight 7499727 (67.22/col)
Sat Dec 20 07:32:08 2014  saving the first 48 matrix rows for later
Sat Dec 20 07:32:08 2014  matrix includes 64 packed rows
Sat Dec 20 07:32:08 2014  matrix is 111336 x 111562 (31.1 MB) with weight 7815854 (70.06/col)
Sat Dec 20 07:32:08 2014  sparse part has weight 7041159 (63.11/col)
Sat Dec 20 07:32:08 2014  using block size 44534 for processor cache size 8192 kB
Sat Dec 20 07:32:09 2014  commencing Lanczos iteration
Sat Dec 20 07:32:09 2014  memory use: 23.3 MB
Sat Dec 20 07:32:17 2014  linear algebra at 10.9%, ETA 0h 1m
Sat Dec 20 07:33:30 2014  lanczos halted after 1762 iterations (dim = 111334)
Sat Dec 20 07:33:30 2014  recovered 35 nontrivial dependencies
Sat Dec 20 07:33:30 2014  BLanczosTime: 92
Sat Dec 20 07:33:30 2014  
Sat Dec 20 07:33:30 2014  commencing square root phase
Sat Dec 20 07:33:30 2014  reading relations for dependency 1
Sat Dec 20 07:33:30 2014  read 55538 cycles
Sat Dec 20 07:33:30 2014  cycles contain 148880 unique relations
Sat Dec 20 07:33:34 2014  read 148880 relations
Sat Dec 20 07:33:35 2014  multiplying 148880 relations
Sat Dec 20 07:33:37 2014  multiply complete, coefficients have about 2.97 million bits
Sat Dec 20 07:33:37 2014  initial square root is modulo 7142141
Sat Dec 20 07:33:40 2014  sqrtTime: 10
--
n: 175041262039097321313810001147045390142204746569396937516588441601867704269258131546204057817039066076448536022275190875057
m: 100000000000000000000000000
deg: 5
c5: 1
c0: 59
skew: 2.26
# Murphy_E = 8.783e-09
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

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

6219626004031276107698250138120380153524750327513586567403176874112929159126931414446166371357109089534776279972239<115>

4230353407333369421350794606933974298303051264838021691<55>
1470237922261879654421461618872008881713838851057580980055229<61>

12/20/14 08:54:17 v1.34.3, 
12/20/14 08:54:17 v1.34.3, ****************************
12/20/14 08:54:17 v1.34.3, Starting factorization of 6219626004031276107698250138120380153524750327513586567403176874112929159126931414446166371357109089534776279972239
12/20/14 08:54:17 v1.34.3, using pretesting plan: none
12/20/14 08:54:17 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 08:54:17 v1.34.3, ****************************
12/20/14 08:54:17 v1.34.3, nfs: commencing nfs on c115: 6219626004031276107698250138120380153524750327513586567403176874112929159126931414446166371357109089534776279972239
12/20/14 08:54:17 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 08:54:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 08:55:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[31 lines snipped]
12/20/14 09:32:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:33:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 09:35:15 v1.34.3, nfs: commencing msieve filtering
12/20/14 09:36:25 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 09:38:14 v1.34.3, nfs: commencing msieve sqrt
12/20/14 09:38:41 v1.34.3, prp55 = 4230353407333369421350794606933974298303051264838021691
12/20/14 09:38:41 v1.34.3, prp61 = 1470237922261879654421461618872008881713838851057580980055229
12/20/14 09:38:41 v1.34.3, NFS elapsed time = 2663.3992 seconds.
12/20/14 09:38:41 v1.34.3, 
12/20/14 09:38:41 v1.34.3, 
12/20/14 09:38:41 v1.34.3, Total factoring time = 2663.4000 seconds
--
Sat Dec 20 09:35:15 2014  
Sat Dec 20 09:35:15 2014  commencing relation filtering
Sat Dec 20 09:35:15 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 09:35:15 2014  commencing duplicate removal, pass 1
Sat Dec 20 09:35:36 2014  found 586985 hash collisions in 4481096 relations
Sat Dec 20 09:35:42 2014  added 171801 free relations
Sat Dec 20 09:35:42 2014  commencing duplicate removal, pass 2
Sat Dec 20 09:35:47 2014  found 414480 duplicates and 4238417 unique relations
Sat Dec 20 09:35:47 2014  memory use: 20.6 MB
Sat Dec 20 09:35:47 2014  reading ideals above 100000
Sat Dec 20 09:35:47 2014  commencing singleton removal, initial pass
Sat Dec 20 09:36:14 2014  memory use: 94.1 MB
Sat Dec 20 09:36:14 2014  reading all ideals from disk
Sat Dec 20 09:36:14 2014  memory use: 127.5 MB
Sat Dec 20 09:36:15 2014  keeping 4167141 ideals with weight <= 200, target excess is 23119
Sat Dec 20 09:36:15 2014  commencing in-memory singleton removal
Sat Dec 20 09:36:15 2014  begin with 4238417 relations and 4167141 unique ideals
Sat Dec 20 09:36:17 2014  reduce to 2091260 relations and 1434469 ideals in 10 passes
Sat Dec 20 09:36:17 2014  max relations containing the same ideal: 124
Sat Dec 20 09:36:18 2014  removing 792139 relations and 477153 ideals in 314986 cliques
Sat Dec 20 09:36:18 2014  commencing in-memory singleton removal
Sat Dec 20 09:36:18 2014  begin with 1299121 relations and 1434469 unique ideals
Sat Dec 20 09:36:18 2014  reduce to 1213202 relations and 860023 ideals in 6 passes
Sat Dec 20 09:36:18 2014  max relations containing the same ideal: 87
Sat Dec 20 09:36:19 2014  removing 472036 relations and 263403 ideals in 208633 cliques
Sat Dec 20 09:36:19 2014  commencing in-memory singleton removal
Sat Dec 20 09:36:19 2014  begin with 741166 relations and 860023 unique ideals
Sat Dec 20 09:36:19 2014  reduce to 698368 relations and 549569 ideals in 6 passes
Sat Dec 20 09:36:19 2014  max relations containing the same ideal: 57
Sat Dec 20 09:36:19 2014  removing 210032 relations and 119641 ideals in 90391 cliques
Sat Dec 20 09:36:19 2014  commencing in-memory singleton removal
Sat Dec 20 09:36:19 2014  begin with 488336 relations and 549569 unique ideals
Sat Dec 20 09:36:19 2014  reduce to 458753 relations and 397558 ideals in 6 passes
Sat Dec 20 09:36:19 2014  max relations containing the same ideal: 43
Sat Dec 20 09:36:20 2014  removing 89555 relations and 55179 ideals in 34376 cliques
Sat Dec 20 09:36:20 2014  commencing in-memory singleton removal
Sat Dec 20 09:36:20 2014  begin with 369198 relations and 397558 unique ideals
Sat Dec 20 09:36:20 2014  reduce to 354069 relations and 326152 ideals in 6 passes
Sat Dec 20 09:36:20 2014  max relations containing the same ideal: 38
Sat Dec 20 09:36:20 2014  relations with 0 large ideals: 523
Sat Dec 20 09:36:20 2014  relations with 1 large ideals: 596
Sat Dec 20 09:36:20 2014  relations with 2 large ideals: 5663
Sat Dec 20 09:36:20 2014  relations with 3 large ideals: 27397
Sat Dec 20 09:36:20 2014  relations with 4 large ideals: 69361
Sat Dec 20 09:36:20 2014  relations with 5 large ideals: 101122
Sat Dec 20 09:36:20 2014  relations with 6 large ideals: 90827
Sat Dec 20 09:36:20 2014  relations with 7+ large ideals: 58580
Sat Dec 20 09:36:20 2014  commencing 2-way merge
Sat Dec 20 09:36:20 2014  reduce to 274649 relation sets and 246732 unique ideals
Sat Dec 20 09:36:20 2014  commencing full merge
Sat Dec 20 09:36:24 2014  memory use: 29.5 MB
Sat Dec 20 09:36:24 2014  found 129101 cycles, need 124932
Sat Dec 20 09:36:24 2014  weight of 124932 cycles is about 9012252 (72.14/cycle)
Sat Dec 20 09:36:24 2014  distribution of cycle lengths:
Sat Dec 20 09:36:24 2014  1 relations: 6683
Sat Dec 20 09:36:24 2014  2 relations: 10701
Sat Dec 20 09:36:24 2014  3 relations: 12969
Sat Dec 20 09:36:24 2014  4 relations: 13367
Sat Dec 20 09:36:24 2014  5 relations: 12957
Sat Dec 20 09:36:24 2014  6 relations: 11959
Sat Dec 20 09:36:24 2014  7 relations: 10718
Sat Dec 20 09:36:24 2014  8 relations: 9443
Sat Dec 20 09:36:24 2014  9 relations: 7747
Sat Dec 20 09:36:24 2014  10+ relations: 28388
Sat Dec 20 09:36:24 2014  heaviest cycle: 20 relations
Sat Dec 20 09:36:24 2014  commencing cycle optimization
Sat Dec 20 09:36:24 2014  start with 832783 relations
Sat Dec 20 09:36:25 2014  pruned 44098 relations
Sat Dec 20 09:36:25 2014  memory use: 22.9 MB
Sat Dec 20 09:36:25 2014  distribution of cycle lengths:
Sat Dec 20 09:36:25 2014  1 relations: 6683
Sat Dec 20 09:36:25 2014  2 relations: 11065
Sat Dec 20 09:36:25 2014  3 relations: 13822
Sat Dec 20 09:36:25 2014  4 relations: 14258
Sat Dec 20 09:36:25 2014  5 relations: 13867
Sat Dec 20 09:36:25 2014  6 relations: 12696
Sat Dec 20 09:36:25 2014  7 relations: 11261
Sat Dec 20 09:36:25 2014  8 relations: 9652
Sat Dec 20 09:36:25 2014  9 relations: 7745
Sat Dec 20 09:36:25 2014  10+ relations: 23883
Sat Dec 20 09:36:25 2014  heaviest cycle: 20 relations
Sat Dec 20 09:36:25 2014  RelProcTime: 70
Sat Dec 20 09:36:25 2014  
Sat Dec 20 09:36:25 2014  commencing linear algebra
Sat Dec 20 09:36:25 2014  read 124932 cycles
Sat Dec 20 09:36:25 2014  cycles contain 337841 unique relations
Sat Dec 20 09:36:31 2014  read 337841 relations
Sat Dec 20 09:36:31 2014  using 20 quadratic characters above 66857180
Sat Dec 20 09:36:33 2014  building initial matrix
Sat Dec 20 09:36:36 2014  memory use: 41.9 MB
Sat Dec 20 09:36:37 2014  read 124932 cycles
Sat Dec 20 09:36:37 2014  matrix is 124754 x 124932 (37.0 MB) with weight 11086048 (88.74/col)
Sat Dec 20 09:36:37 2014  sparse part has weight 8338093 (66.74/col)
Sat Dec 20 09:36:37 2014  filtering completed in 2 passes
Sat Dec 20 09:36:37 2014  matrix is 124719 x 124897 (37.0 MB) with weight 11084092 (88.75/col)
Sat Dec 20 09:36:37 2014  sparse part has weight 8336906 (66.75/col)
Sat Dec 20 09:36:37 2014  matrix starts at (0, 0)
Sat Dec 20 09:36:38 2014  matrix is 124719 x 124897 (37.0 MB) with weight 11084092 (88.75/col)
Sat Dec 20 09:36:38 2014  sparse part has weight 8336906 (66.75/col)
Sat Dec 20 09:36:38 2014  saving the first 48 matrix rows for later
Sat Dec 20 09:36:38 2014  matrix includes 64 packed rows
Sat Dec 20 09:36:38 2014  matrix is 124671 x 124897 (34.6 MB) with weight 8682301 (69.52/col)
Sat Dec 20 09:36:38 2014  sparse part has weight 7824694 (62.65/col)
Sat Dec 20 09:36:38 2014  using block size 49868 for processor cache size 8192 kB
Sat Dec 20 09:36:38 2014  commencing Lanczos iteration
Sat Dec 20 09:36:38 2014  memory use: 25.9 MB
Sat Dec 20 09:36:49 2014  linear algebra at 9.7%, ETA 0h 1m
Sat Dec 20 09:38:14 2014  lanczos halted after 1972 iterations (dim = 124666)
Sat Dec 20 09:38:14 2014  recovered 34 nontrivial dependencies
Sat Dec 20 09:38:14 2014  BLanczosTime: 109
Sat Dec 20 09:38:14 2014  
Sat Dec 20 09:38:14 2014  commencing square root phase
Sat Dec 20 09:38:14 2014  reading relations for dependency 1
Sat Dec 20 09:38:14 2014  read 62557 cycles
Sat Dec 20 09:38:14 2014  cycles contain 169346 unique relations
Sat Dec 20 09:38:19 2014  read 169346 relations
Sat Dec 20 09:38:19 2014  multiplying 169346 relations
Sat Dec 20 09:38:23 2014  multiply complete, coefficients have about 3.90 million bits
Sat Dec 20 09:38:23 2014  initial square root is modulo 970503091
Sat Dec 20 09:38:27 2014  GCD is N, no factor found
Sat Dec 20 09:38:27 2014  reading relations for dependency 2
Sat Dec 20 09:38:27 2014  read 62635 cycles
Sat Dec 20 09:38:27 2014  cycles contain 168794 unique relations
Sat Dec 20 09:38:32 2014  read 168794 relations
Sat Dec 20 09:38:32 2014  multiplying 168794 relations
Sat Dec 20 09:38:36 2014  multiply complete, coefficients have about 3.89 million bits
Sat Dec 20 09:38:36 2014  initial square root is modulo 905190631
Sat Dec 20 09:38:41 2014  sqrtTime: 27
--
n: 6219626004031276107698250138120380153524750327513586567403176874112929159126931414446166371357109089534776279972239
m: 100000000000000000000000000
deg: 5
c5: 10
c0: 59
skew: 1.43
# Murphy_E = 7.019e-09
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

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

77209499863802832148226116294831479397804559241243716411470252530934352460207083478674628789389522122392269393186754871379<122>

42019348698198940221268948986120202716347<41>
1837474931331152078077622707478722792212276201409922384565014340092208610225046857<82>

Number: 33353_133
N=77209499863802832148226116294831479397804559241243716411470252530934352460207083478674628789389522122392269393186754871379
  ( 122 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=42019348698198940221268948986120202716347
 r2=1837474931331152078077622707478722792212276201409922384565014340092208610225046857
Version: 
Total time: 1.27 hours.
Scaled time: 6.68 units (timescale=5.252).
Factorization parameters were as follows:
n: 77209499863802832148226116294831479397804559241243716411470252530934352460207083478674628789389522122392269393186754871379
m: 200000000000000000000000000
deg: 5
c5: 125
c0: 236
skew: 1.14
# Murphy_E = 4.973e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1125001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3098939
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189945 x 190193
Total sieving time: 1.04 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,25000
total time: 1.27 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

2769428329489512555657551982880649793537622562459543203434210682547513663595241051891178315716903726807802678777378027<118>

254987503641191182906026662646452977496915524254110567<54>
10861035501514410903726432103477887674410971923060398758858556381<65>

12/20/14 18:03:05 v1.34.3, 
12/20/14 18:03:05 v1.34.3, ****************************
12/20/14 18:03:05 v1.34.3, Starting factorization of 2769428329489512555657551982880649793537622562459543203434210682547513663595241051891178315716903726807802678777378027
12/20/14 18:03:05 v1.34.3, using pretesting plan: none
12/20/14 18:03:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 18:03:05 v1.34.3, ****************************
12/20/14 18:03:05 v1.34.3, nfs: commencing nfs on c118: 2769428329489512555657551982880649793537622562459543203434210682547513663595241051891178315716903726807802678777378027
12/20/14 18:03:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/20/14 18:03:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:03:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[35 lines snipped]
12/20/14 18:48:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:49:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 18:50:55 v1.34.3, nfs: commencing msieve filtering
12/20/14 18:52:34 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 18:56:32 v1.34.3, nfs: commencing msieve sqrt
12/20/14 18:56:52 v1.34.3, prp54 = 254987503641191182906026662646452977496915524254110567
12/20/14 18:56:52 v1.34.3, prp65 = 10861035501514410903726432103477887674410971923060398758858556381
12/20/14 18:56:53 v1.34.3, NFS elapsed time = 3227.7447 seconds.
12/20/14 18:56:53 v1.34.3, 
12/20/14 18:56:53 v1.34.3, 
12/20/14 18:56:53 v1.34.3, Total factoring time = 3227.7456 seconds
--
Sat Dec 20 18:50:55 2014  
Sat Dec 20 18:50:55 2014  commencing relation filtering
Sat Dec 20 18:50:55 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 18:50:55 2014  commencing duplicate removal, pass 1
Sat Dec 20 18:51:21 2014  found 613029 hash collisions in 4523535 relations
Sat Dec 20 18:51:29 2014  added 175737 free relations
Sat Dec 20 18:51:29 2014  commencing duplicate removal, pass 2
Sat Dec 20 18:51:36 2014  found 442204 duplicates and 4257068 unique relations
Sat Dec 20 18:51:36 2014  memory use: 20.6 MB
Sat Dec 20 18:51:36 2014  reading ideals above 100000
Sat Dec 20 18:51:36 2014  commencing singleton removal, initial pass
Sat Dec 20 18:52:15 2014  memory use: 94.1 MB
Sat Dec 20 18:52:15 2014  reading all ideals from disk
Sat Dec 20 18:52:15 2014  memory use: 131.2 MB
Sat Dec 20 18:52:16 2014  keeping 4345233 ideals with weight <= 200, target excess is 22813
Sat Dec 20 18:52:16 2014  commencing in-memory singleton removal
Sat Dec 20 18:52:17 2014  begin with 4257068 relations and 4345233 unique ideals
Sat Dec 20 18:52:19 2014  reduce to 2006498 relations and 1494864 ideals in 9 passes
Sat Dec 20 18:52:19 2014  max relations containing the same ideal: 121
Sat Dec 20 18:52:21 2014  removing 671244 relations and 428659 ideals in 242585 cliques
Sat Dec 20 18:52:21 2014  commencing in-memory singleton removal
Sat Dec 20 18:52:21 2014  begin with 1335254 relations and 1494864 unique ideals
Sat Dec 20 18:52:22 2014  reduce to 1235848 relations and 953983 ideals in 7 passes
Sat Dec 20 18:52:22 2014  max relations containing the same ideal: 87
Sat Dec 20 18:52:23 2014  removing 577467 relations and 334882 ideals in 242585 cliques
Sat Dec 20 18:52:23 2014  commencing in-memory singleton removal
Sat Dec 20 18:52:23 2014  begin with 658381 relations and 953983 unique ideals
Sat Dec 20 18:52:24 2014  reduce to 576975 relations and 526415 ideals in 8 passes
Sat Dec 20 18:52:24 2014  max relations containing the same ideal: 51
Sat Dec 20 18:52:24 2014  removing 86857 relations and 62761 ideals in 24096 cliques
Sat Dec 20 18:52:24 2014  commencing in-memory singleton removal
Sat Dec 20 18:52:24 2014  begin with 490118 relations and 526415 unique ideals
Sat Dec 20 18:52:24 2014  reduce to 477135 relations and 450045 ideals in 6 passes
Sat Dec 20 18:52:24 2014  max relations containing the same ideal: 42
Sat Dec 20 18:52:25 2014  relations with 0 large ideals: 518
Sat Dec 20 18:52:25 2014  relations with 1 large ideals: 422
Sat Dec 20 18:52:25 2014  relations with 2 large ideals: 4613
Sat Dec 20 18:52:25 2014  relations with 3 large ideals: 26182
Sat Dec 20 18:52:25 2014  relations with 4 large ideals: 75668
Sat Dec 20 18:52:25 2014  relations with 5 large ideals: 127924
Sat Dec 20 18:52:25 2014  relations with 6 large ideals: 134313
Sat Dec 20 18:52:25 2014  relations with 7+ large ideals: 107495
Sat Dec 20 18:52:25 2014  commencing 2-way merge
Sat Dec 20 18:52:25 2014  reduce to 340839 relation sets and 313749 unique ideals
Sat Dec 20 18:52:25 2014  commencing full merge
Sat Dec 20 18:52:31 2014  memory use: 38.9 MB
Sat Dec 20 18:52:31 2014  found 165670 cycles, need 161949
Sat Dec 20 18:52:31 2014  weight of 161949 cycles is about 11396261 (70.37/cycle)
Sat Dec 20 18:52:31 2014  distribution of cycle lengths:
Sat Dec 20 18:52:31 2014  1 relations: 10244
Sat Dec 20 18:52:31 2014  2 relations: 15993
Sat Dec 20 18:52:31 2014  3 relations: 18504
Sat Dec 20 18:52:31 2014  4 relations: 17805
Sat Dec 20 18:52:31 2014  5 relations: 16496
Sat Dec 20 18:52:31 2014  6 relations: 14261
Sat Dec 20 18:52:31 2014  7 relations: 12841
Sat Dec 20 18:52:31 2014  8 relations: 10951
Sat Dec 20 18:52:31 2014  9 relations: 9409
Sat Dec 20 18:52:31 2014  10+ relations: 35445
Sat Dec 20 18:52:31 2014  heaviest cycle: 21 relations
Sat Dec 20 18:52:32 2014  commencing cycle optimization
Sat Dec 20 18:52:32 2014  start with 1049191 relations
Sat Dec 20 18:52:34 2014  pruned 44769 relations
Sat Dec 20 18:52:34 2014  memory use: 30.3 MB
Sat Dec 20 18:52:34 2014  distribution of cycle lengths:
Sat Dec 20 18:52:34 2014  1 relations: 10244
Sat Dec 20 18:52:34 2014  2 relations: 16443
Sat Dec 20 18:52:34 2014  3 relations: 19470
Sat Dec 20 18:52:34 2014  4 relations: 18559
Sat Dec 20 18:52:34 2014  5 relations: 17319
Sat Dec 20 18:52:34 2014  6 relations: 14979
Sat Dec 20 18:52:34 2014  7 relations: 13132
Sat Dec 20 18:52:34 2014  8 relations: 11141
Sat Dec 20 18:52:34 2014  9 relations: 9408
Sat Dec 20 18:52:34 2014  10+ relations: 31254
Sat Dec 20 18:52:34 2014  heaviest cycle: 21 relations
Sat Dec 20 18:52:34 2014  RelProcTime: 99
Sat Dec 20 18:52:34 2014  
Sat Dec 20 18:52:34 2014  commencing linear algebra
Sat Dec 20 18:52:34 2014  read 161949 cycles
Sat Dec 20 18:52:35 2014  cycles contain 459992 unique relations
Sat Dec 20 18:52:41 2014  read 459992 relations
Sat Dec 20 18:52:42 2014  using 20 quadratic characters above 67084658
Sat Dec 20 18:52:44 2014  building initial matrix
Sat Dec 20 18:52:52 2014  memory use: 58.2 MB
Sat Dec 20 18:52:52 2014  read 161949 cycles
Sat Dec 20 18:52:52 2014  matrix is 161772 x 161949 (47.5 MB) with weight 14225495 (87.84/col)
Sat Dec 20 18:52:52 2014  sparse part has weight 10680770 (65.95/col)
Sat Dec 20 18:52:53 2014  filtering completed in 2 passes
Sat Dec 20 18:52:53 2014  matrix is 161711 x 161888 (47.5 MB) with weight 14222845 (87.86/col)
Sat Dec 20 18:52:53 2014  sparse part has weight 10679434 (65.97/col)
Sat Dec 20 18:52:54 2014  matrix starts at (0, 0)
Sat Dec 20 18:52:54 2014  matrix is 161711 x 161888 (47.5 MB) with weight 14222845 (87.86/col)
Sat Dec 20 18:52:54 2014  sparse part has weight 10679434 (65.97/col)
Sat Dec 20 18:52:54 2014  saving the first 48 matrix rows for later
Sat Dec 20 18:52:54 2014  matrix includes 64 packed rows
Sat Dec 20 18:52:54 2014  matrix is 161663 x 161888 (44.5 MB) with weight 11114475 (68.66/col)
Sat Dec 20 18:52:54 2014  sparse part has weight 10052003 (62.09/col)
Sat Dec 20 18:52:54 2014  using block size 64665 for processor cache size 8192 kB
Sat Dec 20 18:52:54 2014  commencing Lanczos iteration
Sat Dec 20 18:52:54 2014  memory use: 33.5 MB
Sat Dec 20 18:53:12 2014  linear algebra at 7.5%, ETA 0h 3m
Sat Dec 20 18:56:32 2014  lanczos halted after 2557 iterations (dim = 161661)
Sat Dec 20 18:56:32 2014  recovered 37 nontrivial dependencies
Sat Dec 20 18:56:32 2014  BLanczosTime: 238
Sat Dec 20 18:56:32 2014  
Sat Dec 20 18:56:32 2014  commencing square root phase
Sat Dec 20 18:56:32 2014  reading relations for dependency 1
Sat Dec 20 18:56:32 2014  read 80850 cycles
Sat Dec 20 18:56:32 2014  cycles contain 230268 unique relations
Sat Dec 20 18:56:37 2014  read 230268 relations
Sat Dec 20 18:56:38 2014  multiplying 230268 relations
Sat Dec 20 18:56:44 2014  multiply complete, coefficients have about 5.35 million bits
Sat Dec 20 18:56:44 2014  initial square root is modulo 1423781
Sat Dec 20 18:56:52 2014  sqrtTime: 20
--
n: 2769428329489512555657551982880649793537622562459543203434210682547513663595241051891178315716903726807802678777378027
m: 1000000000000000000000000000
deg: 5
c5: 10
c0: 59
skew: 1.43
# Murphy_E = 4.621e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

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

13304849975224154088611750265349167149500670131299360353943729677457843709582198281780301363311162441337624225682860977344936663831<131>

28147434273405187402595276484079571<35>

472684289658155599276335110529073246352491564052352906188145282865727570076532789538256805110061<96>

Input number is 13304849975224154088611750265349167149500670131299360353943729677457843709582198281780301363311162441337624225682860977344936663831 (131 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=449844603
Step 1 took 7803ms
Step 2 took 6490ms
********** Factor found in step 2: 28147434273405187402595276484079571
Found probable prime factor of 35 digits: 28147434273405187402595276484079571
Composite cofactor 472684289658155599276335110529073246352491564052352906188145282865727570076532789538256805110061 has 96 digits

472684289658155599276335110529073246352491564052352906188145282865727570076532789538256805110061<96>

595861061391510625257374325888923642661680767<45>
793279373809557083362386457021506897189132172659283<51>

Number: 33353_140
N=472684289658155599276335110529073246352491564052352906188145282865727570076532789538256805110061
  ( 96 digits)
Divisors found:
 r1=595861061391510625257374325888923642661680767
 r2=793279373809557083362386457021506897189132172659283
Version: 
Total time: 1.04 hours.
Scaled time: 5.47 units (timescale=5.253).
Factorization parameters were as follows:
name: 33353_140
n: 472684289658155599276335110529073246352491564052352906188145282865727570076532789538256805110061
skew: 2065.75
# norm 1.30e+13
c5: 105300
c4: -607138896
c3: -1831484661557
c2: -278442702576656
c1: 3258292149155481028
c0: 57763922244102866400
# alpha -5.05
Y1: 5899079549
Y0: -1350301491442373479
# Murphy_E 5.16e-09
# M 86851810476437215232969062970951725564555507656380564869440643426251999602265635552559904779332
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [400000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3015985
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 133778 x 134026
Polynomial selection time: 0.10 hours.
Total sieving time: 0.78 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,51,51,2.4,2.4,20000
total time: 1.04 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

725971030526674871682579885661600450567866894194704764028648166120056263227719962716825373948677568939730981<108>

336236430474617151374303273746170131<36>
2159108783964678696862288573889321783143960795886274520906710978610565351<73>

Number: 33353_143
N=725971030526674871682579885661600450567866894194704764028648166120056263227719962716825373948677568939730981
  ( 108 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=336236430474617151374303273746170131
 r2=2159108783964678696862288573889321783143960795886274520906710978610565351
Version: 
Total time: 3.12 hours.
Scaled time: 16.41 units (timescale=5.257).
Factorization parameters were as follows:
n: 725971030526674871682579885661600450567866894194704764028648166120056263227719962716825373948677568939730981
m: 20000000000000000000000000000
deg: 5
c5: 125
c0: 236
skew: 0.57
# Murphy_E = 2.138e-09
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [960000, 2160001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4346720
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 313018 x 313266
Total sieving time: 2.65 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1920000,1920000,26,26,48,48,2.3,2.3,30000
total time: 3.12 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

94961197465229762258699004732391259295663447144321164055627654136756153930304079905732331716036709990252697897763904529127<122>

1232623263024728070891145367334463<34>
77039919912110821210149566005922109447844279480955060208993434721419290427981456816451929<89>

Input number is 94961197465229762258699004732391259295663447144321164055627654136756153930304079905732331716036709990252697897763904529127 (122 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=806899209
Step 1 took 7635ms
Step 2 took 6244ms
********** Factor found in step 2: 1232623263024728070891145367334463
Found probable prime factor of 34 digits: 1232623263024728070891145367334463
Probable prime cofactor 77039919912110821210149566005922109447844279480955060208993434721419290427981456816451929 has 89 digits

12926230356372823949298811023235851918773001964670188191331378347847907807702588347439620115412112388515075008511972164818193587596933<134>

27984250012516402192264096857674546787953<41>
461910908835911673077331169156336094988061647874780903421970621161515208427031392075548920661<93>

Input number is 12926230356372823949298811023235851918773001964670188191331378347847907807702588347439620115412112388515075008511972164818193587596933 (134 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3453290446
Step 1 took 7656ms
Step 2 took 6500ms
********** Factor found in step 2: 27984250012516402192264096857674546787953
Found probable prime factor of 41 digits: 27984250012516402192264096857674546787953
Probable prime cofactor 461910908835911673077331169156336094988061647874780903421970621161515208427031392075548920661 has 93 digits

163969653631175945083821426310462729626402834378120911278337311376504631248260620162383837523047390048537755768043720383094042005716352697<138>

1307064236568974060037414076128847897223409800409847220524873<61>
125448810428471417595630818639794063548348938972348984157698263845465133743089<78>

N=163969653631175945083821426310462729626402834378120911278337311376504631248260620162383837523047390048537755768043720383094042005716352697
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1307064236568974060037414076128847897223409800409847220524873 (pp61)
 r2=125448810428471417595630818639794063548348938972348984157698263845465133743089 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 163969653631175945083821426310462729626402834378120911278337311376504631248260620162383837523047390048537755768043720383094042005716352697
m: 100000000000000000000000000000
deg: 5
c5: 10
c0: 59
skew: 1.43
# Murphy_E = 1.969e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 310151 x 310376
Total sieving time: 6.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 6.81 hours.

526012075150377758470385084507159663987419344143621251587870408472459917071383776497358810276805447807120879803192944273360627212414793<135>

2829296385778184141644067194042044729046904320379<49>
185916214997638258490452955629314242859754654086335833236770964354522265597935494118667<87>

Number: 33353_147
N=526012075150377758470385084507159663987419344143621251587870408472459917071383776497358810276805447807120879803192944273360627212414793
  ( 135 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=2829296385778184141644067194042044729046904320379
 r2=185916214997638258490452955629314242859754654086335833236770964354522265597935494118667
Version: 
Total time: 3.20 hours.
Scaled time: 16.81 units (timescale=5.257).
Factorization parameters were as follows:
n: 526012075150377758470385084507159663987419344143621251587870408472459917071383776497358810276805447807120879803192944273360627212414793
m: 100000000000000000000000000000
deg: 5
c5: 100
c0: 59
skew: 0.90
# Murphy_E = 1.885e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4698974
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 349782 x 350030
Total sieving time: 2.80 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000
total time: 3.20 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

3241299811386721956525475714949957097361578031558436549454695372205119833299587674802014463035653126843632087499137340210073716651478081609<139>

1001926111816204894265827369<28>

3235068707323311832844293598505037568980302710315046792393556071429582040108625349787643470681829864403267420961<112>

Input number is 3241299811386721956525475714949957097361578031558436549454695372205119833299587674802014463035653126843632087499137340210073716651478081609 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3363421063
Step 1 took 4181ms
Step 2 took 2480ms
********** Factor found in step 2: 1001926111816204894265827369
Found probable prime factor of 28 digits: 1001926111816204894265827369
Composite cofactor 3235068707323311832844293598505037568980302710315046792393556071429582040108625349787643470681829864403267420961 has 112 digits

GMP-ECM 6.4.4

3235068707323311832844293598505037568980302710315046792393556071429582040108625349787643470681829864403267420961<112>

18764238424151679841199977838085605956150591367263<50>
172406075546312366910240319183400259545971411332568328349189247<63>

Divisors found:
 r1=18764238424151679841199977838085605956150591367263 (pp50)
 r2=172406075546312366910240319183400259545971411332568328349189247 (pp63)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 5.36 hours.
Scaled time: 12.86 units (timescale=2.400).
Factorization parameters were as follows:
n: 3235068707323311832844293598505037568980302710315046792393556071429582040108625349787643470681829864403267420961
m: 100000000000000000000000000000
deg: 5
c5: 1000
c0: 59
skew: 0.57
# Murphy_E = 1.39e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 359107 x 359333
Total sieving time: 5.22 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 5.36 hours.

727559929887437735262025302736440870311760694205947338060396085559053122996123227986272554133103211728528699664137<114>

28645975208647553251376369534339<32>
25398329942972383938395110451437074924106666431117217211396229460197442138994526083<83>

12/23/14 02:42:40 v1.34.3, 
12/23/14 02:42:40 v1.34.3, ****************************
12/23/14 02:42:40 v1.34.3, Starting factorization of 727559929887437735262025302736440870311760694205947338060396085559053122996123227986272554133103211728528699664137
12/23/14 02:42:40 v1.34.3, using pretesting plan: none
12/23/14 02:42:40 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 02:42:40 v1.34.3, ****************************
12/23/14 02:42:40 v1.34.3, nfs: commencing nfs on c114: 727559929887437735262025302736440870311760694205947338060396085559053122996123227986272554133103211728528699664137
12/23/14 02:42:40 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 02:42:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 02:43:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
[79 lines snipped]
12/23/14 04:17:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:19:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:20:26 v1.34.3, nfs: commencing msieve filtering
12/23/14 04:21:58 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 04:28:34 v1.34.3, nfs: commencing msieve sqrt
12/23/14 04:29:13 v1.34.3, prp83 = 25398329942972383938395110451437074924106666431117217211396229460197442138994526083
12/23/14 04:29:13 v1.34.3, prp32 = 28645975208647553251376369534339
12/23/14 04:29:13 v1.34.3, NFS elapsed time = 6393.1687 seconds.
12/23/14 04:29:13 v1.34.3, 
12/23/14 04:29:13 v1.34.3, 
12/23/14 04:29:13 v1.34.3, Total factoring time = 6393.1695 seconds
--
Tue Dec 23 04:20:26 2014  
Tue Dec 23 04:20:26 2014  commencing relation filtering
Tue Dec 23 04:20:26 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 04:20:26 2014  commencing duplicate removal, pass 1
Tue Dec 23 04:20:48 2014  found 636659 hash collisions in 4516730 relations
Tue Dec 23 04:20:56 2014  added 185255 free relations
Tue Dec 23 04:20:56 2014  commencing duplicate removal, pass 2
Tue Dec 23 04:21:02 2014  found 474730 duplicates and 4227255 unique relations
Tue Dec 23 04:21:02 2014  memory use: 20.6 MB
Tue Dec 23 04:21:02 2014  reading ideals above 100000
Tue Dec 23 04:21:02 2014  commencing singleton removal, initial pass
Tue Dec 23 04:21:36 2014  memory use: 94.1 MB
Tue Dec 23 04:21:36 2014  reading all ideals from disk
Tue Dec 23 04:21:36 2014  memory use: 138.0 MB
Tue Dec 23 04:21:36 2014  keeping 4833263 ideals with weight <= 200, target excess is 21609
Tue Dec 23 04:21:36 2014  commencing in-memory singleton removal
Tue Dec 23 04:21:36 2014  begin with 4227255 relations and 4833263 unique ideals
Tue Dec 23 04:21:39 2014  reduce to 1563994 relations and 1489874 ideals in 18 passes
Tue Dec 23 04:21:39 2014  max relations containing the same ideal: 100
Tue Dec 23 04:21:40 2014  removing 193001 relations and 168474 ideals in 24527 cliques
Tue Dec 23 04:21:40 2014  commencing in-memory singleton removal
Tue Dec 23 04:21:40 2014  begin with 1370993 relations and 1489874 unique ideals
Tue Dec 23 04:21:41 2014  reduce to 1351595 relations and 1301607 ideals in 8 passes
Tue Dec 23 04:21:41 2014  max relations containing the same ideal: 90
Tue Dec 23 04:21:41 2014  removing 145837 relations and 121310 ideals in 24527 cliques
Tue Dec 23 04:21:41 2014  commencing in-memory singleton removal
Tue Dec 23 04:21:41 2014  begin with 1205758 relations and 1301607 unique ideals
Tue Dec 23 04:21:42 2014  reduce to 1193434 relations and 1167759 ideals in 8 passes
Tue Dec 23 04:21:42 2014  max relations containing the same ideal: 82
Tue Dec 23 04:21:42 2014  relations with 0 large ideals: 507
Tue Dec 23 04:21:42 2014  relations with 1 large ideals: 116
Tue Dec 23 04:21:42 2014  relations with 2 large ideals: 1979
Tue Dec 23 04:21:42 2014  relations with 3 large ideals: 17278
Tue Dec 23 04:21:42 2014  relations with 4 large ideals: 80856
Tue Dec 23 04:21:42 2014  relations with 5 large ideals: 216459
Tue Dec 23 04:21:42 2014  relations with 6 large ideals: 351478
Tue Dec 23 04:21:42 2014  relations with 7+ large ideals: 524761
Tue Dec 23 04:21:42 2014  commencing 2-way merge
Tue Dec 23 04:21:43 2014  reduce to 713543 relation sets and 687868 unique ideals
Tue Dec 23 04:21:43 2014  commencing full merge
Tue Dec 23 04:21:54 2014  memory use: 88.8 MB
Tue Dec 23 04:21:54 2014  found 355164 cycles, need 352068
Tue Dec 23 04:21:54 2014  weight of 352068 cycles is about 24931333 (70.81/cycle)
Tue Dec 23 04:21:54 2014  distribution of cycle lengths:
Tue Dec 23 04:21:54 2014  1 relations: 39365
Tue Dec 23 04:21:54 2014  2 relations: 38511
Tue Dec 23 04:21:54 2014  3 relations: 37351
Tue Dec 23 04:21:54 2014  4 relations: 34222
Tue Dec 23 04:21:54 2014  5 relations: 30838
Tue Dec 23 04:21:54 2014  6 relations: 27588
Tue Dec 23 04:21:54 2014  7 relations: 23870
Tue Dec 23 04:21:54 2014  8 relations: 20751
Tue Dec 23 04:21:54 2014  9 relations: 18322
Tue Dec 23 04:21:54 2014  10+ relations: 81250
Tue Dec 23 04:21:54 2014  heaviest cycle: 25 relations
Tue Dec 23 04:21:54 2014  commencing cycle optimization
Tue Dec 23 04:21:55 2014  start with 2267734 relations
Tue Dec 23 04:21:58 2014  pruned 59224 relations
Tue Dec 23 04:21:58 2014  memory use: 71.7 MB
Tue Dec 23 04:21:58 2014  distribution of cycle lengths:
Tue Dec 23 04:21:58 2014  1 relations: 39365
Tue Dec 23 04:21:58 2014  2 relations: 39286
Tue Dec 23 04:21:58 2014  3 relations: 38499
Tue Dec 23 04:21:58 2014  4 relations: 35092
Tue Dec 23 04:21:58 2014  5 relations: 31603
Tue Dec 23 04:21:58 2014  6 relations: 28113
Tue Dec 23 04:21:58 2014  7 relations: 24275
Tue Dec 23 04:21:58 2014  8 relations: 20877
Tue Dec 23 04:21:58 2014  9 relations: 18415
Tue Dec 23 04:21:58 2014  10+ relations: 76543
Tue Dec 23 04:21:58 2014  heaviest cycle: 24 relations
Tue Dec 23 04:21:58 2014  RelProcTime: 92
Tue Dec 23 04:21:58 2014  
Tue Dec 23 04:21:58 2014  commencing linear algebra
Tue Dec 23 04:21:58 2014  read 352068 cycles
Tue Dec 23 04:21:59 2014  cycles contain 1167688 unique relations
Tue Dec 23 04:22:05 2014  read 1167688 relations
Tue Dec 23 04:22:05 2014  using 20 quadratic characters above 67107644
Tue Dec 23 04:22:09 2014  building initial matrix
Tue Dec 23 04:22:21 2014  memory use: 141.5 MB
Tue Dec 23 04:22:21 2014  read 352068 cycles
Tue Dec 23 04:22:21 2014  matrix is 351896 x 352068 (105.6 MB) with weight 31540240 (89.59/col)
Tue Dec 23 04:22:21 2014  sparse part has weight 23821438 (67.66/col)
Tue Dec 23 04:22:23 2014  filtering completed in 2 passes
Tue Dec 23 04:22:23 2014  matrix is 351718 x 351894 (105.6 MB) with weight 31534173 (89.61/col)
Tue Dec 23 04:22:23 2014  sparse part has weight 23819421 (67.69/col)
Tue Dec 23 04:22:24 2014  matrix starts at (0, 0)
Tue Dec 23 04:22:24 2014  matrix is 351718 x 351894 (105.6 MB) with weight 31534173 (89.61/col)
Tue Dec 23 04:22:24 2014  sparse part has weight 23819421 (67.69/col)
Tue Dec 23 04:22:24 2014  saving the first 48 matrix rows for later
Tue Dec 23 04:22:24 2014  matrix includes 64 packed rows
Tue Dec 23 04:22:24 2014  matrix is 351670 x 351894 (99.9 MB) with weight 25040227 (71.16/col)
Tue Dec 23 04:22:24 2014  sparse part has weight 22666771 (64.41/col)
Tue Dec 23 04:22:24 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 04:22:26 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 04:22:26 2014  memory use: 95.6 MB
Tue Dec 23 04:22:42 2014  linear algebra at 3.4%, ETA 0h 7m
Tue Dec 23 04:28:33 2014  lanczos halted after 5563 iterations (dim = 351668)
Tue Dec 23 04:28:34 2014  recovered 39 nontrivial dependencies
Tue Dec 23 04:28:34 2014  BLanczosTime: 396
Tue Dec 23 04:28:34 2014  
Tue Dec 23 04:28:34 2014  commencing square root phase
Tue Dec 23 04:28:34 2014  reading relations for dependency 1
Tue Dec 23 04:28:34 2014  read 176029 cycles
Tue Dec 23 04:28:34 2014  cycles contain 584704 unique relations
Tue Dec 23 04:28:41 2014  read 584704 relations
Tue Dec 23 04:28:43 2014  multiplying 584704 relations
Tue Dec 23 04:29:01 2014  multiply complete, coefficients have about 14.39 million bits
Tue Dec 23 04:29:01 2014  initial square root is modulo 184581731
Tue Dec 23 04:29:13 2014  sqrtTime: 39
--
n: 727559929887437735262025302736440870311760694205947338060396085559053122996123227986272554133103211728528699664137
m: 500000000000000000000000000000
deg: 5
c5: 16
c0: 295
skew: 1.79
# Murphy_E = 1.57e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

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

35384393402553565136938869966399945039788858809633940171958162938429606659259390156704098373433096138281864626837740570471124637718346299<137>

625413439725319964274296263041160978339<39>
56577603158151355355738074370221669450920064920165218877983468765182810542858444657973603204629641<98>

Input number is 35384393402553565136938869966399945039788858809633940171958162938429606659259390156704098373433096138281864626837740570471124637718346299 (137 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3085423808
Step 1 took 3790ms
Step 2 took 2184ms
********** Factor found in step 2: 625413439725319964274296263041160978339
Found probable prime factor of 39 digits: 625413439725319964274296263041160978339
Probable prime cofactor 56577603158151355355738074370221669450920064920165218877983468765182810542858444657973603204629641 has 98 digits

GMP-ECM 6.4.4

62428060462650315173173942502617162166946256136769286023746085647657927020138688834903816085756938951513830891753005281<119>

776467831611009039502291543098871<33>
3835333478811513741669786479287518984451<40>
20962990759099412514125687667619007313227357261<47>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1726348578
Step 1 took 7573ms
Step 2 took 6266ms
********** Factor found in step 2: 776467831611009039502291543098871
Found probable prime factor of 33 digits: 776467831611009039502291543098871

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=402386718
Step 1 took 7641ms
Step 2 took 6261ms
********** Factor found in step 2: 3835333478811513741669786479287518984451
Found probable prime factor of 40 digits: 3835333478811513741669786479287518984451

64818375047781067297235529325165401278058604668430694662284111505052603535837468626184978193365282652337<104>

1689910265378705908137282360275929411679889903518903<52>
38356104685390134510926938193822786585154923587653079<53>

12/20/14 03:39:15 v1.34.3, 
12/20/14 03:39:15 v1.34.3, ****************************
12/20/14 03:39:15 v1.34.3, Starting factorization of 64818375047781067297235529325165401278058604668430694662284111505052603535837468626184978193365282652337
12/20/14 03:39:15 v1.34.3, using pretesting plan: none
12/20/14 03:39:15 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 03:39:15 v1.34.3, ****************************
12/20/14 03:39:15 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C104
12/20/14 03:39:15 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C104
12/20/14 03:39:15 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C104
12/20/14 03:39:15 v1.34.3, final ECM pretested depth: 0.00
12/20/14 03:39:15 v1.34.3, scheduler: switching to sieve method
12/20/14 03:39:15 v1.34.3, nfs: commencing nfs on c104: 64818375047781067297235529325165401278058604668430694662284111505052603535837468626184978193365282652337
12/20/14 03:39:15 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 03:39:15 v1.34.3, nfs: setting deadline of 212 seconds
12/20/14 03:43:11 v1.34.3, nfs: completed 30 ranges of size 250 in 236.5939 seconds
12/20/14 03:43:11 v1.34.3, nfs: best poly = # norm 3.183354e-14 alpha -5.381246 e 6.571e-09 rroots 4
12/20/14 03:43:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 03:45:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[18 lines snipped]
12/20/14 04:28:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:30:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:33:12 v1.34.3, nfs: commencing msieve filtering
12/20/14 04:34:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:36:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:39:11 v1.34.3, nfs: commencing msieve filtering
12/20/14 04:40:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:42:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 04:45:16 v1.34.3, nfs: commencing msieve filtering
12/20/14 04:46:59 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 04:52:18 v1.34.3, nfs: commencing msieve sqrt
12/20/14 04:53:26 v1.34.3, prp53 = 38356104685390134510926938193822786585154923587653079
12/20/14 04:53:26 v1.34.3, prp52 = 1689910265378705908137282360275929411679889903518903
12/20/14 04:53:26 v1.34.3, NFS elapsed time = 4451.3958 seconds.
12/20/14 04:53:26 v1.34.3, 
12/20/14 04:53:26 v1.34.3, 
12/20/14 04:53:26 v1.34.3, Total factoring time = 4451.4357 seconds
--
Sat Dec 20 04:33:12 2014  
Sat Dec 20 04:33:12 2014  commencing relation filtering
Sat Dec 20 04:33:12 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 04:33:12 2014  commencing duplicate removal, pass 1
Sat Dec 20 04:33:35 2014  found 447653 hash collisions in 4574463 relations
Sat Dec 20 04:33:42 2014  added 157724 free relations
Sat Dec 20 04:33:42 2014  commencing duplicate removal, pass 2
Sat Dec 20 04:33:47 2014  found 214595 duplicates and 4517592 unique relations
Sat Dec 20 04:33:47 2014  memory use: 20.6 MB
Sat Dec 20 04:33:47 2014  reading ideals above 100000
Sat Dec 20 04:33:47 2014  commencing singleton removal, initial pass
Sat Dec 20 04:34:19 2014  memory use: 172.2 MB
Sat Dec 20 04:34:19 2014  reading all ideals from disk
Sat Dec 20 04:34:19 2014  memory use: 144.0 MB
Sat Dec 20 04:34:19 2014  keeping 5452694 ideals with weight <= 200, target excess is 21504
Sat Dec 20 04:34:20 2014  commencing in-memory singleton removal
Sat Dec 20 04:34:20 2014  begin with 4517592 relations and 5452694 unique ideals
Sat Dec 20 04:34:23 2014  reduce to 936637 relations and 1033362 ideals in 33 passes
Sat Dec 20 04:34:23 2014  max relations containing the same ideal: 67
Sat Dec 20 04:39:11 2014  
Sat Dec 20 04:39:11 2014  commencing relation filtering
Sat Dec 20 04:39:11 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 04:39:11 2014  commencing duplicate removal, pass 1
Sat Dec 20 04:39:36 2014  found 541231 hash collisions in 5145752 relations
Sat Dec 20 04:39:42 2014  added 1447 free relations
Sat Dec 20 04:39:42 2014  commencing duplicate removal, pass 2
Sat Dec 20 04:39:47 2014  found 251317 duplicates and 4895882 unique relations
Sat Dec 20 04:39:47 2014  memory use: 20.6 MB
Sat Dec 20 04:39:47 2014  reading ideals above 100000
Sat Dec 20 04:39:47 2014  commencing singleton removal, initial pass
Sat Dec 20 04:40:23 2014  memory use: 172.2 MB
Sat Dec 20 04:40:23 2014  reading all ideals from disk
Sat Dec 20 04:40:23 2014  memory use: 156.2 MB
Sat Dec 20 04:40:24 2014  keeping 5628814 ideals with weight <= 200, target excess is 23134
Sat Dec 20 04:40:24 2014  commencing in-memory singleton removal
Sat Dec 20 04:40:24 2014  begin with 4895882 relations and 5628814 unique ideals
Sat Dec 20 04:40:28 2014  reduce to 1483309 relations and 1482821 ideals in 20 passes
Sat Dec 20 04:40:28 2014  max relations containing the same ideal: 93
Sat Dec 20 04:45:16 2014  
Sat Dec 20 04:45:16 2014  commencing relation filtering
Sat Dec 20 04:45:16 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 04:45:16 2014  commencing duplicate removal, pass 1
Sat Dec 20 04:45:46 2014  found 621355 hash collisions in 5558309 relations
Sat Dec 20 04:45:52 2014  added 1097 free relations
Sat Dec 20 04:45:52 2014  commencing duplicate removal, pass 2
Sat Dec 20 04:45:58 2014  found 289744 duplicates and 5269662 unique relations
Sat Dec 20 04:45:58 2014  memory use: 20.6 MB
Sat Dec 20 04:45:58 2014  reading ideals above 100000
Sat Dec 20 04:45:58 2014  commencing singleton removal, initial pass
Sat Dec 20 04:46:35 2014  memory use: 172.2 MB
Sat Dec 20 04:46:35 2014  reading all ideals from disk
Sat Dec 20 04:46:35 2014  memory use: 168.2 MB
Sat Dec 20 04:46:35 2014  keeping 5787805 ideals with weight <= 200, target excess is 24902
Sat Dec 20 04:46:36 2014  commencing in-memory singleton removal
Sat Dec 20 04:46:36 2014  begin with 5269662 relations and 5787805 unique ideals
Sat Dec 20 04:46:41 2014  reduce to 1983477 relations and 1856000 ideals in 26 passes
Sat Dec 20 04:46:41 2014  max relations containing the same ideal: 108
Sat Dec 20 04:46:42 2014  removing 378718 relations and 329423 ideals in 49295 cliques
Sat Dec 20 04:46:42 2014  commencing in-memory singleton removal
Sat Dec 20 04:46:42 2014  begin with 1604759 relations and 1856000 unique ideals
Sat Dec 20 04:46:43 2014  reduce to 1542111 relations and 1461748 ideals in 10 passes
Sat Dec 20 04:46:43 2014  max relations containing the same ideal: 92
Sat Dec 20 04:46:44 2014  removing 284553 relations and 235258 ideals in 49295 cliques
Sat Dec 20 04:46:44 2014  commencing in-memory singleton removal
Sat Dec 20 04:46:44 2014  begin with 1257558 relations and 1461748 unique ideals
Sat Dec 20 04:46:45 2014  reduce to 1211738 relations and 1179131 ideals in 11 passes
Sat Dec 20 04:46:45 2014  max relations containing the same ideal: 80
Sat Dec 20 04:46:45 2014  relations with 0 large ideals: 457
Sat Dec 20 04:46:45 2014  relations with 1 large ideals: 233
Sat Dec 20 04:46:45 2014  relations with 2 large ideals: 3585
Sat Dec 20 04:46:45 2014  relations with 3 large ideals: 28770
Sat Dec 20 04:46:45 2014  relations with 4 large ideals: 121904
Sat Dec 20 04:46:45 2014  relations with 5 large ideals: 296139
Sat Dec 20 04:46:45 2014  relations with 6 large ideals: 369897
Sat Dec 20 04:46:45 2014  relations with 7+ large ideals: 390753
Sat Dec 20 04:46:45 2014  commencing 2-way merge
Sat Dec 20 04:46:46 2014  reduce to 686650 relation sets and 654044 unique ideals
Sat Dec 20 04:46:46 2014  ignored 1 oversize relation sets
Sat Dec 20 04:46:46 2014  commencing full merge
Sat Dec 20 04:46:54 2014  memory use: 72.6 MB
Sat Dec 20 04:46:54 2014  found 326075 cycles, need 320244
Sat Dec 20 04:46:54 2014  weight of 320244 cycles is about 22704910 (70.90/cycle)
Sat Dec 20 04:46:54 2014  distribution of cycle lengths:
Sat Dec 20 04:46:54 2014  1 relations: 33085
Sat Dec 20 04:46:54 2014  2 relations: 32699
Sat Dec 20 04:46:54 2014  3 relations: 32476
Sat Dec 20 04:46:54 2014  4 relations: 30412
Sat Dec 20 04:46:54 2014  5 relations: 27978
Sat Dec 20 04:46:54 2014  6 relations: 24802
Sat Dec 20 04:46:54 2014  7 relations: 22016
Sat Dec 20 04:46:54 2014  8 relations: 19414
Sat Dec 20 04:46:54 2014  9 relations: 17186
Sat Dec 20 04:46:54 2014  10+ relations: 80176
Sat Dec 20 04:46:54 2014  heaviest cycle: 24 relations
Sat Dec 20 04:46:54 2014  commencing cycle optimization
Sat Dec 20 04:46:55 2014  start with 2140478 relations
Sat Dec 20 04:46:58 2014  pruned 50387 relations
Sat Dec 20 04:46:58 2014  memory use: 69.6 MB
Sat Dec 20 04:46:58 2014  distribution of cycle lengths:
Sat Dec 20 04:46:58 2014  1 relations: 33085
Sat Dec 20 04:46:58 2014  2 relations: 33374
Sat Dec 20 04:46:58 2014  3 relations: 33506
Sat Dec 20 04:46:58 2014  4 relations: 31180
Sat Dec 20 04:46:58 2014  5 relations: 28652
Sat Dec 20 04:46:58 2014  6 relations: 25196
Sat Dec 20 04:46:58 2014  7 relations: 22347
Sat Dec 20 04:46:58 2014  8 relations: 19541
Sat Dec 20 04:46:58 2014  9 relations: 17282
Sat Dec 20 04:46:58 2014  10+ relations: 76081
Sat Dec 20 04:46:58 2014  heaviest cycle: 24 relations
Sat Dec 20 04:46:59 2014  RelProcTime: 103
Sat Dec 20 04:46:59 2014  
Sat Dec 20 04:46:59 2014  commencing linear algebra
Sat Dec 20 04:46:59 2014  read 320244 cycles
Sat Dec 20 04:46:59 2014  cycles contain 1152114 unique relations
Sat Dec 20 04:47:08 2014  read 1152114 relations
Sat Dec 20 04:47:09 2014  using 20 quadratic characters above 67108662
Sat Dec 20 04:47:14 2014  building initial matrix
Sat Dec 20 04:47:25 2014  memory use: 138.5 MB
Sat Dec 20 04:47:25 2014  read 320244 cycles
Sat Dec 20 04:47:25 2014  matrix is 320073 x 320244 (96.6 MB) with weight 30681575 (95.81/col)
Sat Dec 20 04:47:25 2014  sparse part has weight 21791278 (68.05/col)
Sat Dec 20 04:47:27 2014  filtering completed in 2 passes
Sat Dec 20 04:47:27 2014  matrix is 319264 x 319444 (96.5 MB) with weight 30643688 (95.93/col)
Sat Dec 20 04:47:27 2014  sparse part has weight 21777023 (68.17/col)
Sat Dec 20 04:47:28 2014  matrix starts at (0, 0)
Sat Dec 20 04:47:28 2014  matrix is 319264 x 319444 (96.5 MB) with weight 30643688 (95.93/col)
Sat Dec 20 04:47:28 2014  sparse part has weight 21777023 (68.17/col)
Sat Dec 20 04:47:28 2014  saving the first 48 matrix rows for later
Sat Dec 20 04:47:28 2014  matrix includes 64 packed rows
Sat Dec 20 04:47:28 2014  matrix is 319216 x 319444 (92.7 MB) with weight 24251596 (75.92/col)
Sat Dec 20 04:47:28 2014  sparse part has weight 21113849 (66.10/col)
Sat Dec 20 04:47:28 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 04:47:29 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 04:47:29 2014  memory use: 87.6 MB
Sat Dec 20 04:47:42 2014  linear algebra at 3.8%, ETA 0h 5m
Sat Dec 20 04:52:17 2014  lanczos halted after 5051 iterations (dim = 319215)
Sat Dec 20 04:52:18 2014  recovered 32 nontrivial dependencies
Sat Dec 20 04:52:18 2014  BLanczosTime: 319
Sat Dec 20 04:52:18 2014  
Sat Dec 20 04:52:18 2014  commencing square root phase
Sat Dec 20 04:52:18 2014  reading relations for dependency 1
Sat Dec 20 04:52:18 2014  read 159560 cycles
Sat Dec 20 04:52:18 2014  cycles contain 574858 unique relations
Sat Dec 20 04:52:22 2014  read 574858 relations
Sat Dec 20 04:52:24 2014  multiplying 574858 relations
Sat Dec 20 04:52:35 2014  multiply complete, coefficients have about 25.54 million bits
Sat Dec 20 04:52:35 2014  initial square root is modulo 21659587
Sat Dec 20 04:52:50 2014  GCD is 1, no factor found
Sat Dec 20 04:52:50 2014  reading relations for dependency 2
Sat Dec 20 04:52:50 2014  read 159639 cycles
Sat Dec 20 04:52:50 2014  cycles contain 574472 unique relations
Sat Dec 20 04:52:55 2014  read 574472 relations
Sat Dec 20 04:52:56 2014  multiplying 574472 relations
Sat Dec 20 04:53:07 2014  multiply complete, coefficients have about 25.52 million bits
Sat Dec 20 04:53:07 2014  initial square root is modulo 21407093
Sat Dec 20 04:53:26 2014  sqrtTime: 68
--
n: 64818375047781067297235529325165401278058604668430694662284111505052603535837468626184978193365282652337
skew: 1566196.22
c0: 3055991217357596710276698600
c1: -41675358794635379114920
c2: -57570465607152989
c3: 46716616010
c4: 7176
Y0: -9748797248320996256466569
Y1: 39848656698431
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

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

2137866041297012385267624824620137085922941495726915925142968056611762366051084083952853020672604914509654871859<112>

36710562921547802591201549440407243931064165140385539<53>
58235719399501787532943382528519204622867407902196483108881<59>

Number: 33353_154
N=2137866041297012385267624824620137085922941495726915925142968056611762366051084083952853020672604914509654871859
  ( 112 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=36710562921547802591201549440407243931064165140385539
 r2=58235719399501787532943382528519204622867407902196483108881
Version: 
Total time: 5.02 hours.
Scaled time: 25.83 units (timescale=5.144).
Factorization parameters were as follows:
n: 2137866041297012385267624824620137085922941495726915925142968056611762366051084083952853020672604914509654871859
m: 10000000000000000000000000000000
deg: 5
c5: 1
c0: 590
skew: 3.58
# Murphy_E = 1.013e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7838074
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 400240 x 400488
Total sieving time: 4.56 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,50000
total time: 5.02 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

20412616548385760077045379900227212834800081895417592123669429106064159711577893217928564415379600161749573529408762850507590329400434502955848939289<149>

39023409485105242372851982675818877962383<41>
523086445231727020080559326085864467779641706121298437919015828228069710084166099175367803195638379372890583<108>

Number: 33353_155
N=20412616548385760077045379900227212834800081895417592123669429106064159711577893217928564415379600161749573529408762850507590329400434502955848939289
  ( 149 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=39023409485105242372851982675818877962383
 r2=523086445231727020080559326085864467779641706121298437919015828228069710084166099175367803195638379372890583
Version: 
Total time: 5.27 hours.
Scaled time: 27.68 units (timescale=5.249).
Factorization parameters were as follows:
n: 20412616548385760077045379900227212834800081895417592123669429106064159711577893217928564415379600161749573529408762850507590329400434502955848939289
m: 10000000000000000000000000000000
deg: 5
c5: 1
c0: 59
skew: 2.26
# Murphy_E = 1.03e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7708887
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 445460 x 445708
Total sieving time: 4.79 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,50000
total time: 5.27 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

11984903144022418443802176546474820235370535096343247663449968090246864474151708581500743507321218619921732521032186434685847921280341143983<140>

815074674928693032118437360012867678053777<42>
14704055361640232592435012829886315960925137480245568371348771755303113207771006854509760060162879<98>

12/26/14 08:52:29 v1.34.3, 
12/26/14 08:52:29 v1.34.3, ****************************
12/26/14 08:52:29 v1.34.3, Starting factorization of 11984903144022418443802176546474820235370535096343247663449968090246864474151708581500743507321218619921732521032186434685847921280341143983
12/26/14 08:52:29 v1.34.3, using pretesting plan: none
12/26/14 08:52:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 08:52:29 v1.34.3, ****************************
12/26/14 08:52:29 v1.34.3, nfs: commencing nfs on c140: 11984903144022418443802176546474820235370535096343247663449968090246864474151708581500743507321218619921732521032186434685847921280341143983
12/26/14 08:52:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 08:52:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 08:55:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[37 lines snipped]
12/26/14 11:09:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 11:12:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 11:16:12 v1.34.3, nfs: commencing msieve filtering
12/26/14 11:17:57 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 11:21:45 v1.34.3, nfs: commencing msieve sqrt
12/26/14 11:22:14 v1.34.3, prp98 = 14704055361640232592435012829886315960925137480245568371348771755303113207771006854509760060162879
12/26/14 11:22:14 v1.34.3, prp42 = 815074674928693032118437360012867678053777
12/26/14 11:22:14 v1.34.3, NFS elapsed time = 8984.7906 seconds.
12/26/14 11:22:14 v1.34.3, 
12/26/14 11:22:14 v1.34.3, 
12/26/14 11:22:14 v1.34.3, Total factoring time = 8984.7915 seconds
--
Fri Dec 26 11:16:12 2014  
Fri Dec 26 11:16:12 2014  commencing relation filtering
Fri Dec 26 11:16:12 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 11:16:12 2014  commencing duplicate removal, pass 1
Fri Dec 26 11:16:40 2014  found 1290805 hash collisions in 10184896 relations
Fri Dec 26 11:16:48 2014  added 360093 free relations
Fri Dec 26 11:16:48 2014  commencing duplicate removal, pass 2
Fri Dec 26 11:16:56 2014  found 803390 duplicates and 9741599 unique relations
Fri Dec 26 11:16:56 2014  memory use: 41.3 MB
Fri Dec 26 11:16:56 2014  reading ideals above 100000
Fri Dec 26 11:16:56 2014  commencing singleton removal, initial pass
Fri Dec 26 11:17:37 2014  memory use: 188.2 MB
Fri Dec 26 11:17:37 2014  reading all ideals from disk
Fri Dec 26 11:17:37 2014  memory use: 336.6 MB
Fri Dec 26 11:17:38 2014  keeping 9795096 ideals with weight <= 200, target excess is 51891
Fri Dec 26 11:17:38 2014  commencing in-memory singleton removal
Fri Dec 26 11:17:38 2014  begin with 9741599 relations and 9795096 unique ideals
Fri Dec 26 11:17:41 2014  reduce to 4839819 relations and 3802861 ideals in 12 passes
Fri Dec 26 11:17:41 2014  max relations containing the same ideal: 128
Fri Dec 26 11:17:42 2014  removing 1293155 relations and 893155 ideals in 400000 cliques
Fri Dec 26 11:17:43 2014  commencing in-memory singleton removal
Fri Dec 26 11:17:43 2014  begin with 3546664 relations and 3802861 unique ideals
Fri Dec 26 11:17:44 2014  reduce to 3323255 relations and 2664279 ideals in 8 passes
Fri Dec 26 11:17:44 2014  max relations containing the same ideal: 103
Fri Dec 26 11:17:45 2014  removing 1095823 relations and 695823 ideals in 400000 cliques
Fri Dec 26 11:17:45 2014  commencing in-memory singleton removal
Fri Dec 26 11:17:45 2014  begin with 2227432 relations and 2664279 unique ideals
Fri Dec 26 11:17:45 2014  reduce to 2033255 relations and 1751990 ideals in 9 passes
Fri Dec 26 11:17:45 2014  max relations containing the same ideal: 71
Fri Dec 26 11:17:46 2014  removing 637745 relations and 416674 ideals in 221071 cliques
Fri Dec 26 11:17:46 2014  commencing in-memory singleton removal
Fri Dec 26 11:17:46 2014  begin with 1395510 relations and 1751990 unique ideals
Fri Dec 26 11:17:46 2014  reduce to 1266876 relations and 1193111 ideals in 10 passes
Fri Dec 26 11:17:46 2014  max relations containing the same ideal: 50
Fri Dec 26 11:17:47 2014  removing 73077 relations and 59506 ideals in 13571 cliques
Fri Dec 26 11:17:47 2014  commencing in-memory singleton removal
Fri Dec 26 11:17:47 2014  begin with 1193799 relations and 1193111 unique ideals
Fri Dec 26 11:17:47 2014  reduce to 1190487 relations and 1130256 ideals in 7 passes
Fri Dec 26 11:17:47 2014  max relations containing the same ideal: 48
Fri Dec 26 11:17:47 2014  relations with 0 large ideals: 1161
Fri Dec 26 11:17:47 2014  relations with 1 large ideals: 674
Fri Dec 26 11:17:47 2014  relations with 2 large ideals: 9990
Fri Dec 26 11:17:47 2014  relations with 3 large ideals: 61680
Fri Dec 26 11:17:47 2014  relations with 4 large ideals: 188713
Fri Dec 26 11:17:47 2014  relations with 5 large ideals: 324119
Fri Dec 26 11:17:47 2014  relations with 6 large ideals: 333673
Fri Dec 26 11:17:47 2014  relations with 7+ large ideals: 270477
Fri Dec 26 11:17:47 2014  commencing 2-way merge
Fri Dec 26 11:17:47 2014  reduce to 742722 relation sets and 682491 unique ideals
Fri Dec 26 11:17:47 2014  commencing full merge
Fri Dec 26 11:17:54 2014  memory use: 87.8 MB
Fri Dec 26 11:17:54 2014  found 378673 cycles, need 370691
Fri Dec 26 11:17:54 2014  weight of 370691 cycles is about 26344259 (71.07/cycle)
Fri Dec 26 11:17:54 2014  distribution of cycle lengths:
Fri Dec 26 11:17:54 2014  1 relations: 31158
Fri Dec 26 11:17:54 2014  2 relations: 34587
Fri Dec 26 11:17:54 2014  3 relations: 38354
Fri Dec 26 11:17:54 2014  4 relations: 38640
Fri Dec 26 11:17:54 2014  5 relations: 38240
Fri Dec 26 11:17:54 2014  6 relations: 35718
Fri Dec 26 11:17:54 2014  7 relations: 31939
Fri Dec 26 11:17:54 2014  8 relations: 27335
Fri Dec 26 11:17:54 2014  9 relations: 22696
Fri Dec 26 11:17:54 2014  10+ relations: 72024
Fri Dec 26 11:17:54 2014  heaviest cycle: 20 relations
Fri Dec 26 11:17:54 2014  commencing cycle optimization
Fri Dec 26 11:17:54 2014  start with 2299719 relations
Fri Dec 26 11:17:56 2014  pruned 72729 relations
Fri Dec 26 11:17:56 2014  memory use: 72.1 MB
Fri Dec 26 11:17:56 2014  distribution of cycle lengths:
Fri Dec 26 11:17:56 2014  1 relations: 31158
Fri Dec 26 11:17:56 2014  2 relations: 35276
Fri Dec 26 11:17:56 2014  3 relations: 39735
Fri Dec 26 11:17:56 2014  4 relations: 40157
Fri Dec 26 11:17:56 2014  5 relations: 39818
Fri Dec 26 11:17:56 2014  6 relations: 36971
Fri Dec 26 11:17:56 2014  7 relations: 32834
Fri Dec 26 11:17:56 2014  8 relations: 27629
Fri Dec 26 11:17:56 2014  9 relations: 22773
Fri Dec 26 11:17:56 2014  10+ relations: 64340
Fri Dec 26 11:17:56 2014  heaviest cycle: 20 relations
Fri Dec 26 11:17:57 2014  RelProcTime: 105
Fri Dec 26 11:17:57 2014  
Fri Dec 26 11:17:57 2014  commencing linear algebra
Fri Dec 26 11:17:57 2014  read 370691 cycles
Fri Dec 26 11:17:57 2014  cycles contain 1156113 unique relations
Fri Dec 26 11:18:06 2014  read 1156113 relations
Fri Dec 26 11:18:06 2014  using 20 quadratic characters above 134215050
Fri Dec 26 11:18:10 2014  building initial matrix
Fri Dec 26 11:18:16 2014  memory use: 143.0 MB
Fri Dec 26 11:18:16 2014  read 370691 cycles
Fri Dec 26 11:18:16 2014  matrix is 370519 x 370691 (111.2 MB) with weight 33532691 (90.46/col)
Fri Dec 26 11:18:16 2014  sparse part has weight 25084314 (67.67/col)
Fri Dec 26 11:18:17 2014  filtering completed in 2 passes
Fri Dec 26 11:18:17 2014  matrix is 370399 x 370571 (111.2 MB) with weight 33528106 (90.48/col)
Fri Dec 26 11:18:17 2014  sparse part has weight 25082428 (67.69/col)
Fri Dec 26 11:18:18 2014  matrix starts at (0, 0)
Fri Dec 26 11:18:18 2014  matrix is 370399 x 370571 (111.2 MB) with weight 33528106 (90.48/col)
Fri Dec 26 11:18:18 2014  sparse part has weight 25082428 (67.69/col)
Fri Dec 26 11:18:18 2014  saving the first 48 matrix rows for later
Fri Dec 26 11:18:18 2014  matrix includes 64 packed rows
Fri Dec 26 11:18:18 2014  matrix is 370351 x 370571 (106.1 MB) with weight 26865099 (72.50/col)
Fri Dec 26 11:18:18 2014  sparse part has weight 24102755 (65.04/col)
Fri Dec 26 11:18:18 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 11:18:19 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 11:18:19 2014  memory use: 102.0 MB
Fri Dec 26 11:18:26 2014  linear algebra at 3.3%, ETA 0h 3m
Fri Dec 26 11:21:45 2014  lanczos halted after 5857 iterations (dim = 370345)
Fri Dec 26 11:21:45 2014  recovered 38 nontrivial dependencies
Fri Dec 26 11:21:45 2014  BLanczosTime: 228
Fri Dec 26 11:21:45 2014  
Fri Dec 26 11:21:45 2014  commencing square root phase
Fri Dec 26 11:21:45 2014  reading relations for dependency 1
Fri Dec 26 11:21:45 2014  read 185426 cycles
Fri Dec 26 11:21:45 2014  cycles contain 578456 unique relations
Fri Dec 26 11:21:53 2014  read 578456 relations
Fri Dec 26 11:21:54 2014  multiplying 578456 relations
Fri Dec 26 11:22:03 2014  multiply complete, coefficients have about 16.08 million bits
Fri Dec 26 11:22:03 2014  initial square root is modulo 1728453511
Fri Dec 26 11:22:14 2014  sqrtTime: 29
--
n: 11984903144022418443802176546474820235370535096343247663449968090246864474151708581500743507321218619921732521032186434685847921280341143983
m: 10000000000000000000000000000000
deg: 5
c5: 100
c0: 59
skew: 0.90
# Murphy_E = 7.853e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

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

168645880709113705824203823117327686811475300373310192763635346091473982839346485229162915433580194981537089586058743496611331593751051469<138>

79614290369285551394850275252922079<35>

2118286552914823307709666359885135238518070485149939146837099487821566162340784381496850357136922963411<103>

Input number is 168645880709113705824203823117327686811475300373310192763635346091473982839346485229162915433580194981537089586058743496611331593751051469 (138 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2032576154
Step 1 took 9203ms
Step 2 took 7112ms
********** Factor found in step 2: 79614290369285551394850275252922079
Found probable prime factor of 35 digits: 79614290369285551394850275252922079
Composite cofactor 2118286552914823307709666359885135238518070485149939146837099487821566162340784381496850357136922963411 has 103 digits

2118286552914823307709666359885135238518070485149939146837099487821566162340784381496850357136922963411<103>

1042411509805080338718753504403036730976971713<46>
2032102037429460030170184514848116071684511647499063283347<58>

N=2118286552914823307709666359885135238518070485149939146837099487821566162340784381496850357136922963411
  ( 103 digits)
Divisors found:
 r1=1042411509805080338718753504403036730976971713 (pp46)
 r2=2032102037429460030170184514848116071684511647499063283347 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.92 hours.
Scaled time: 5.89 units (timescale=1.503).
Factorization parameters were as follows:
n: 2118286552914823307709666359885135238518070485149939146837099487821566162340784381496850357136922963411
skew: 1024713.57
c0: -1642292711214501728318638009
c1: -1937632056382994665683
c2: -7236799437566595
c3: -9530896045
c4: 9180
Y0: -3897501007643599739249100
Y1: 25209680963269
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 311699 x 311925
Total sieving time: 3.65 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 3.92 hours.

14116735296933882518411254243403560303842875126123516600000613304009895038226226026790990442578110614580766986672811750528854597<128>

154299427828252480477939785252418009969476887975371<51>
91489226471059440530186046279850840939756869330255463089646272969643503337007<77>

12/27/14 07:02:57 v1.34.3, 
12/27/14 07:02:57 v1.34.3, ****************************
12/27/14 07:02:57 v1.34.3, Starting factorization of 14116735296933882518411254243403560303842875126123516600000613304009895038226226026790990442578110614580766986672811750528854597
12/27/14 07:02:57 v1.34.3, using pretesting plan: none
12/27/14 07:02:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 07:02:57 v1.34.3, ****************************
12/27/14 07:02:57 v1.34.3, nfs: commencing nfs on c128: 14116735296933882518411254243403560303842875126123516600000613304009895038226226026790990442578110614580766986672811750528854597
12/27/14 07:02:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 07:02:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 07:03:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[157 lines snipped]
12/27/14 09:48:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 09:49:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 09:50:39 v1.34.3, nfs: commencing msieve filtering
12/27/14 09:52:22 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 09:58:26 v1.34.3, nfs: commencing msieve sqrt
12/27/14 10:01:54 v1.34.3, prp51 = 154299427828252480477939785252418009969476887975371
12/27/14 10:01:54 v1.34.3, prp77 = 91489226471059440530186046279850840939756869330255463089646272969643503337007
12/27/14 10:01:54 v1.34.3, NFS elapsed time = 10736.6062 seconds.
12/27/14 10:01:54 v1.34.3, 
12/27/14 10:01:54 v1.34.3, 
12/27/14 10:01:54 v1.34.3, Total factoring time = 10736.6068 seconds
--
Sat Dec 27 09:50:39 2014  
Sat Dec 27 09:50:39 2014  commencing relation filtering
Sat Dec 27 09:50:39 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 09:50:39 2014  commencing duplicate removal, pass 1
Sat Dec 27 09:51:06 2014  found 1674332 hash collisions in 10051910 relations
Sat Dec 27 09:51:14 2014  added 355993 free relations
Sat Dec 27 09:51:14 2014  commencing duplicate removal, pass 2
Sat Dec 27 09:51:22 2014  found 1354517 duplicates and 9053386 unique relations
Sat Dec 27 09:51:22 2014  memory use: 41.3 MB
Sat Dec 27 09:51:22 2014  reading ideals above 100000
Sat Dec 27 09:51:22 2014  commencing singleton removal, initial pass
Sat Dec 27 09:52:00 2014  memory use: 188.2 MB
Sat Dec 27 09:52:00 2014  reading all ideals from disk
Sat Dec 27 09:52:01 2014  memory use: 309.0 MB
Sat Dec 27 09:52:01 2014  keeping 9563987 ideals with weight <= 200, target excess is 45988
Sat Dec 27 09:52:01 2014  commencing in-memory singleton removal
Sat Dec 27 09:52:02 2014  begin with 9053386 relations and 9563987 unique ideals
Sat Dec 27 09:52:04 2014  reduce to 4102216 relations and 3441784 ideals in 13 passes
Sat Dec 27 09:52:04 2014  max relations containing the same ideal: 119
Sat Dec 27 09:52:05 2014  removing 1105487 relations and 801944 ideals in 303543 cliques
Sat Dec 27 09:52:05 2014  commencing in-memory singleton removal
Sat Dec 27 09:52:06 2014  begin with 2996729 relations and 3441784 unique ideals
Sat Dec 27 09:52:06 2014  reduce to 2783081 relations and 2406418 ideals in 9 passes
Sat Dec 27 09:52:06 2014  max relations containing the same ideal: 91
Sat Dec 27 09:52:07 2014  removing 918746 relations and 615203 ideals in 303543 cliques
Sat Dec 27 09:52:07 2014  commencing in-memory singleton removal
Sat Dec 27 09:52:07 2014  begin with 1864335 relations and 2406418 unique ideals
Sat Dec 27 09:52:08 2014  reduce to 1680409 relations and 1586680 ideals in 9 passes
Sat Dec 27 09:52:08 2014  max relations containing the same ideal: 66
Sat Dec 27 09:52:08 2014  removing 184242 relations and 143860 ideals in 40382 cliques
Sat Dec 27 09:52:08 2014  commencing in-memory singleton removal
Sat Dec 27 09:52:08 2014  begin with 1496167 relations and 1586680 unique ideals
Sat Dec 27 09:52:09 2014  reduce to 1482114 relations and 1428421 ideals in 6 passes
Sat Dec 27 09:52:09 2014  max relations containing the same ideal: 62
Sat Dec 27 09:52:09 2014  relations with 0 large ideals: 1064
Sat Dec 27 09:52:09 2014  relations with 1 large ideals: 571
Sat Dec 27 09:52:09 2014  relations with 2 large ideals: 9119
Sat Dec 27 09:52:09 2014  relations with 3 large ideals: 59486
Sat Dec 27 09:52:09 2014  relations with 4 large ideals: 200224
Sat Dec 27 09:52:09 2014  relations with 5 large ideals: 378680
Sat Dec 27 09:52:09 2014  relations with 6 large ideals: 432687
Sat Dec 27 09:52:09 2014  relations with 7+ large ideals: 400283
Sat Dec 27 09:52:09 2014  commencing 2-way merge
Sat Dec 27 09:52:09 2014  reduce to 933642 relation sets and 879949 unique ideals
Sat Dec 27 09:52:09 2014  commencing full merge
Sat Dec 27 09:52:18 2014  memory use: 113.0 MB
Sat Dec 27 09:52:18 2014  found 485442 cycles, need 478149
Sat Dec 27 09:52:18 2014  weight of 478149 cycles is about 33618397 (70.31/cycle)
Sat Dec 27 09:52:18 2014  distribution of cycle lengths:
Sat Dec 27 09:52:18 2014  1 relations: 35846
Sat Dec 27 09:52:18 2014  2 relations: 46990
Sat Dec 27 09:52:18 2014  3 relations: 52193
Sat Dec 27 09:52:18 2014  4 relations: 51136
Sat Dec 27 09:52:18 2014  5 relations: 49319
Sat Dec 27 09:52:18 2014  6 relations: 45957
Sat Dec 27 09:52:18 2014  7 relations: 41231
Sat Dec 27 09:52:18 2014  8 relations: 35175
Sat Dec 27 09:52:18 2014  9 relations: 29573
Sat Dec 27 09:52:18 2014  10+ relations: 90729
Sat Dec 27 09:52:18 2014  heaviest cycle: 20 relations
Sat Dec 27 09:52:18 2014  commencing cycle optimization
Sat Dec 27 09:52:19 2014  start with 2952065 relations
Sat Dec 27 09:52:21 2014  pruned 88087 relations
Sat Dec 27 09:52:21 2014  memory use: 91.6 MB
Sat Dec 27 09:52:21 2014  distribution of cycle lengths:
Sat Dec 27 09:52:21 2014  1 relations: 35846
Sat Dec 27 09:52:21 2014  2 relations: 47953
Sat Dec 27 09:52:21 2014  3 relations: 54164
Sat Dec 27 09:52:21 2014  4 relations: 52730
Sat Dec 27 09:52:21 2014  5 relations: 51116
Sat Dec 27 09:52:21 2014  6 relations: 47465
Sat Dec 27 09:52:21 2014  7 relations: 42150
Sat Dec 27 09:52:21 2014  8 relations: 35683
Sat Dec 27 09:52:21 2014  9 relations: 29562
Sat Dec 27 09:52:21 2014  10+ relations: 81480
Sat Dec 27 09:52:21 2014  heaviest cycle: 20 relations
Sat Dec 27 09:52:22 2014  RelProcTime: 103
Sat Dec 27 09:52:22 2014  
Sat Dec 27 09:52:22 2014  commencing linear algebra
Sat Dec 27 09:52:22 2014  read 478149 cycles
Sat Dec 27 09:52:22 2014  cycles contain 1448791 unique relations
Sat Dec 27 09:52:32 2014  read 1448791 relations
Sat Dec 27 09:52:32 2014  using 20 quadratic characters above 134206158
Sat Dec 27 09:52:37 2014  building initial matrix
Sat Dec 27 09:52:44 2014  memory use: 177.9 MB
Sat Dec 27 09:52:44 2014  read 478149 cycles
Sat Dec 27 09:52:44 2014  matrix is 477977 x 478149 (142.6 MB) with weight 42649606 (89.20/col)
Sat Dec 27 09:52:44 2014  sparse part has weight 32131716 (67.20/col)
Sat Dec 27 09:52:46 2014  filtering completed in 2 passes
Sat Dec 27 09:52:46 2014  matrix is 477896 x 478068 (142.6 MB) with weight 42646756 (89.21/col)
Sat Dec 27 09:52:46 2014  sparse part has weight 32130673 (67.21/col)
Sat Dec 27 09:52:48 2014  matrix starts at (0, 0)
Sat Dec 27 09:52:48 2014  matrix is 477896 x 478068 (142.6 MB) with weight 42646756 (89.21/col)
Sat Dec 27 09:52:48 2014  sparse part has weight 32130673 (67.21/col)
Sat Dec 27 09:52:48 2014  saving the first 48 matrix rows for later
Sat Dec 27 09:52:48 2014  matrix includes 64 packed rows
Sat Dec 27 09:52:48 2014  matrix is 477848 x 478068 (135.0 MB) with weight 33779059 (70.66/col)
Sat Dec 27 09:52:48 2014  sparse part has weight 30601542 (64.01/col)
Sat Dec 27 09:52:48 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 09:52:49 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 09:52:49 2014  memory use: 129.8 MB
Sat Dec 27 09:52:57 2014  linear algebra at 2.5%, ETA 0h 5m
Sat Dec 27 09:58:26 2014  lanczos halted after 7559 iterations (dim = 477842)
Sat Dec 27 09:58:26 2014  recovered 37 nontrivial dependencies
Sat Dec 27 09:58:26 2014  BLanczosTime: 364
Sat Dec 27 09:58:26 2014  
Sat Dec 27 09:58:26 2014  commencing square root phase
Sat Dec 27 09:58:26 2014  reading relations for dependency 1
Sat Dec 27 09:58:26 2014  read 239117 cycles
Sat Dec 27 09:58:26 2014  cycles contain 724670 unique relations
Sat Dec 27 09:58:34 2014  read 724670 relations
Sat Dec 27 09:58:35 2014  multiplying 724670 relations
Sat Dec 27 09:58:47 2014  multiply complete, coefficients have about 18.14 million bits
Sat Dec 27 09:58:47 2014  initial square root is modulo 162091
Sat Dec 27 09:59:01 2014  GCD is 1, no factor found
Sat Dec 27 09:59:01 2014  reading relations for dependency 2
Sat Dec 27 09:59:01 2014  read 239759 cycles
Sat Dec 27 09:59:01 2014  cycles contain 725124 unique relations
Sat Dec 27 09:59:09 2014  read 725124 relations
Sat Dec 27 09:59:10 2014  multiplying 725124 relations
Sat Dec 27 09:59:21 2014  multiply complete, coefficients have about 18.15 million bits
Sat Dec 27 09:59:21 2014  initial square root is modulo 163411
Sat Dec 27 09:59:35 2014  GCD is 1, no factor found
Sat Dec 27 09:59:35 2014  reading relations for dependency 3
Sat Dec 27 09:59:35 2014  read 239596 cycles
Sat Dec 27 09:59:35 2014  cycles contain 725942 unique relations
Sat Dec 27 09:59:43 2014  read 725942 relations
Sat Dec 27 09:59:45 2014  multiplying 725942 relations
Sat Dec 27 09:59:56 2014  multiply complete, coefficients have about 18.17 million bits
Sat Dec 27 09:59:56 2014  initial square root is modulo 165541
Sat Dec 27 10:00:10 2014  GCD is 1, no factor found
Sat Dec 27 10:00:10 2014  reading relations for dependency 4
Sat Dec 27 10:00:10 2014  read 239188 cycles
Sat Dec 27 10:00:10 2014  cycles contain 725072 unique relations
Sat Dec 27 10:00:18 2014  read 725072 relations
Sat Dec 27 10:00:20 2014  multiplying 725072 relations
Sat Dec 27 10:00:31 2014  multiply complete, coefficients have about 18.15 million bits
Sat Dec 27 10:00:31 2014  initial square root is modulo 163171
Sat Dec 27 10:00:45 2014  GCD is 1, no factor found
Sat Dec 27 10:00:45 2014  reading relations for dependency 5
Sat Dec 27 10:00:45 2014  read 239293 cycles
Sat Dec 27 10:00:45 2014  cycles contain 723878 unique relations
Sat Dec 27 10:00:53 2014  read 723878 relations
Sat Dec 27 10:00:54 2014  multiplying 723878 relations
Sat Dec 27 10:01:05 2014  multiply complete, coefficients have about 18.12 million bits
Sat Dec 27 10:01:05 2014  initial square root is modulo 160001
Sat Dec 27 10:01:19 2014  GCD is N, no factor found
Sat Dec 27 10:01:19 2014  reading relations for dependency 6
Sat Dec 27 10:01:19 2014  read 238769 cycles
Sat Dec 27 10:01:20 2014  cycles contain 723844 unique relations
Sat Dec 27 10:01:27 2014  read 723844 relations
Sat Dec 27 10:01:29 2014  multiplying 723844 relations
Sat Dec 27 10:01:40 2014  multiply complete, coefficients have about 18.11 million bits
Sat Dec 27 10:01:40 2014  initial square root is modulo 159721
Sat Dec 27 10:01:54 2014  sqrtTime: 208
--
n: 14116735296933882518411254243403560303842875126123516600000613304009895038226226026790990442578110614580766986672811750528854597
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: 295
skew: 1.79
# Murphy_E = 6.507e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

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

7320578898375680687012820364048020002200363690692136307453226141103613253484608511770372824757174385751658322334373511028125761557875981571275087361<148>

1887767175053873201708631301379<31>
3877903480426163046618933993606600574306441122028018597450463140364049715383227183001045529388455672420473972171014059<118>

Input number is 7320578898375680687012820364048020002200363690692136307453226141103613253484608511770372824757174385751658322334373511028125761557875981571275087361 (148 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3184662991
Step 1 took 9134ms
Step 2 took 7371ms
********** Factor found in step 2: 1887767175053873201708631301379
Found probable prime factor of 31 digits: 1887767175053873201708631301379
Probable prime cofactor 3877903480426163046618933993606600574306441122028018597450463140364049715383227183001045529388455672420473972171014059 has 118 digits

1157068274713940978793413541204602269404803728092753272933378437005433705420161267711859020786334881589549<106>

2365554851577449897356590572206991881291002823<46>
489131872779174812321120905467337721461529883071240079577963<60>

12/20/14 04:53:30 v1.34.3, 
12/20/14 04:53:30 v1.34.3, ****************************
12/20/14 04:53:30 v1.34.3, Starting factorization of 1157068274713940978793413541204602269404803728092753272933378437005433705420161267711859020786334881589549
12/20/14 04:53:30 v1.34.3, using pretesting plan: none
12/20/14 04:53:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 04:53:30 v1.34.3, ****************************
12/20/14 04:53:30 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
12/20/14 04:53:30 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
12/20/14 04:53:30 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
12/20/14 04:53:30 v1.34.3, final ECM pretested depth: 0.00
12/20/14 04:53:30 v1.34.3, scheduler: switching to sieve method
12/20/14 04:53:30 v1.34.3, nfs: commencing nfs on c106: 1157068274713940978793413541204602269404803728092753272933378437005433705420161267711859020786334881589549
12/20/14 04:53:30 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 04:53:30 v1.34.3, nfs: setting deadline of 251 seconds
12/20/14 04:58:07 v1.34.3, nfs: completed 11 ranges of size 250 in 276.3000 seconds
12/20/14 04:58:07 v1.34.3, nfs: best poly = # norm 2.565218e-14 alpha -5.111259 e 6.003e-09 rroots 4
12/20/14 04:58:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:01:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
12/20/14 05:49:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:52:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:55:26 v1.34.3, nfs: commencing msieve filtering
12/20/14 05:56:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 05:59:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:02:42 v1.34.3, nfs: commencing msieve filtering
12/20/14 06:04:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:07:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 06:10:10 v1.34.3, nfs: commencing msieve filtering
12/20/14 06:11:44 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 06:16:44 v1.34.3, nfs: commencing msieve sqrt
12/20/14 06:18:53 v1.34.3, prp60 = 489131872779174812321120905467337721461529883071240079577963
12/20/14 06:18:53 v1.34.3, prp46 = 2365554851577449897356590572206991881291002823
12/20/14 06:18:53 v1.34.3, NFS elapsed time = 5122.4927 seconds.
12/20/14 06:18:53 v1.34.3, 
12/20/14 06:18:53 v1.34.3, 
12/20/14 06:18:53 v1.34.3, Total factoring time = 5122.5329 seconds
--
Sat Dec 20 05:55:26 2014  
Sat Dec 20 05:55:26 2014  commencing relation filtering
Sat Dec 20 05:55:26 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 05:55:26 2014  commencing duplicate removal, pass 1
Sat Dec 20 05:55:51 2014  found 452096 hash collisions in 4600880 relations
Sat Dec 20 05:55:58 2014  added 158634 free relations
Sat Dec 20 05:55:58 2014  commencing duplicate removal, pass 2
Sat Dec 20 05:56:02 2014  found 217029 duplicates and 4542485 unique relations
Sat Dec 20 05:56:02 2014  memory use: 20.6 MB
Sat Dec 20 05:56:02 2014  reading ideals above 100000
Sat Dec 20 05:56:02 2014  commencing singleton removal, initial pass
Sat Dec 20 05:56:36 2014  memory use: 172.2 MB
Sat Dec 20 05:56:36 2014  reading all ideals from disk
Sat Dec 20 05:56:36 2014  memory use: 146.2 MB
Sat Dec 20 05:56:36 2014  keeping 5527727 ideals with weight <= 200, target excess is 21536
Sat Dec 20 05:56:37 2014  commencing in-memory singleton removal
Sat Dec 20 05:56:37 2014  begin with 4542485 relations and 5527727 unique ideals
Sat Dec 20 05:56:39 2014  reduce to 838028 relations and 963772 ideals in 39 passes
Sat Dec 20 05:56:39 2014  max relations containing the same ideal: 64
Sat Dec 20 06:02:42 2014  
Sat Dec 20 06:02:42 2014  commencing relation filtering
Sat Dec 20 06:02:42 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 06:02:42 2014  commencing duplicate removal, pass 1
Sat Dec 20 06:03:09 2014  found 554812 hash collisions in 5218718 relations
Sat Dec 20 06:03:15 2014  added 1439 free relations
Sat Dec 20 06:03:15 2014  commencing duplicate removal, pass 2
Sat Dec 20 06:03:21 2014  found 258483 duplicates and 4961674 unique relations
Sat Dec 20 06:03:21 2014  memory use: 20.6 MB
Sat Dec 20 06:03:21 2014  reading ideals above 100000
Sat Dec 20 06:03:21 2014  commencing singleton removal, initial pass
Sat Dec 20 06:03:57 2014  memory use: 172.2 MB
Sat Dec 20 06:03:57 2014  reading all ideals from disk
Sat Dec 20 06:03:57 2014  memory use: 159.8 MB
Sat Dec 20 06:03:57 2014  keeping 5720412 ideals with weight <= 200, target excess is 23351
Sat Dec 20 06:03:58 2014  commencing in-memory singleton removal
Sat Dec 20 06:03:58 2014  begin with 4961674 relations and 5720412 unique ideals
Sat Dec 20 06:04:01 2014  reduce to 1484297 relations and 1506946 ideals in 24 passes
Sat Dec 20 06:04:01 2014  max relations containing the same ideal: 93
Sat Dec 20 06:10:10 2014  
Sat Dec 20 06:10:10 2014  commencing relation filtering
Sat Dec 20 06:10:10 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 06:10:10 2014  commencing duplicate removal, pass 1
Sat Dec 20 06:10:41 2014  found 647227 hash collisions in 5686331 relations
Sat Dec 20 06:10:47 2014  added 1065 free relations
Sat Dec 20 06:10:47 2014  commencing duplicate removal, pass 2
Sat Dec 20 06:10:51 2014  found 303635 duplicates and 5383761 unique relations
Sat Dec 20 06:10:51 2014  memory use: 20.6 MB
Sat Dec 20 06:10:51 2014  reading ideals above 100000
Sat Dec 20 06:10:51 2014  commencing singleton removal, initial pass
Sat Dec 20 06:11:30 2014  memory use: 172.2 MB
Sat Dec 20 06:11:30 2014  reading all ideals from disk
Sat Dec 20 06:11:30 2014  memory use: 173.5 MB
Sat Dec 20 06:11:30 2014  keeping 5894278 ideals with weight <= 200, target excess is 25384
Sat Dec 20 06:11:30 2014  commencing in-memory singleton removal
Sat Dec 20 06:11:30 2014  begin with 5383761 relations and 5894278 unique ideals
Sat Dec 20 06:11:32 2014  reduce to 2074516 relations and 1951283 ideals in 18 passes
Sat Dec 20 06:11:32 2014  max relations containing the same ideal: 109
Sat Dec 20 06:11:33 2014  removing 375791 relations and 328897 ideals in 46894 cliques
Sat Dec 20 06:11:33 2014  commencing in-memory singleton removal
Sat Dec 20 06:11:33 2014  begin with 1698725 relations and 1951283 unique ideals
Sat Dec 20 06:11:33 2014  reduce to 1639768 relations and 1561539 ideals in 10 passes
Sat Dec 20 06:11:33 2014  max relations containing the same ideal: 92
Sat Dec 20 06:11:34 2014  removing 280573 relations and 233679 ideals in 46894 cliques
Sat Dec 20 06:11:34 2014  commencing in-memory singleton removal
Sat Dec 20 06:11:34 2014  begin with 1359195 relations and 1561539 unique ideals
Sat Dec 20 06:11:34 2014  reduce to 1316929 relations and 1284315 ideals in 10 passes
Sat Dec 20 06:11:34 2014  max relations containing the same ideal: 84
Sat Dec 20 06:11:34 2014  relations with 0 large ideals: 492
Sat Dec 20 06:11:34 2014  relations with 1 large ideals: 192
Sat Dec 20 06:11:34 2014  relations with 2 large ideals: 3277
Sat Dec 20 06:11:34 2014  relations with 3 large ideals: 27483
Sat Dec 20 06:11:34 2014  relations with 4 large ideals: 120787
Sat Dec 20 06:11:34 2014  relations with 5 large ideals: 307190
Sat Dec 20 06:11:34 2014  relations with 6 large ideals: 401632
Sat Dec 20 06:11:34 2014  relations with 7+ large ideals: 455876
Sat Dec 20 06:11:34 2014  commencing 2-way merge
Sat Dec 20 06:11:35 2014  reduce to 750159 relation sets and 717545 unique ideals
Sat Dec 20 06:11:35 2014  commencing full merge
Sat Dec 20 06:11:41 2014  memory use: 80.1 MB
Sat Dec 20 06:11:41 2014  found 357031 cycles, need 351745
Sat Dec 20 06:11:41 2014  weight of 351745 cycles is about 24717863 (70.27/cycle)
Sat Dec 20 06:11:41 2014  distribution of cycle lengths:
Sat Dec 20 06:11:41 2014  1 relations: 37353
Sat Dec 20 06:11:41 2014  2 relations: 36050
Sat Dec 20 06:11:41 2014  3 relations: 35714
Sat Dec 20 06:11:41 2014  4 relations: 33192
Sat Dec 20 06:11:41 2014  5 relations: 30559
Sat Dec 20 06:11:41 2014  6 relations: 27105
Sat Dec 20 06:11:41 2014  7 relations: 23907
Sat Dec 20 06:11:41 2014  8 relations: 21404
Sat Dec 20 06:11:41 2014  9 relations: 18813
Sat Dec 20 06:11:41 2014  10+ relations: 87648
Sat Dec 20 06:11:41 2014  heaviest cycle: 25 relations
Sat Dec 20 06:11:41 2014  commencing cycle optimization
Sat Dec 20 06:11:42 2014  start with 2348230 relations
Sat Dec 20 06:11:44 2014  pruned 54426 relations
Sat Dec 20 06:11:44 2014  memory use: 76.1 MB
Sat Dec 20 06:11:44 2014  distribution of cycle lengths:
Sat Dec 20 06:11:44 2014  1 relations: 37353
Sat Dec 20 06:11:44 2014  2 relations: 36781
Sat Dec 20 06:11:44 2014  3 relations: 36910
Sat Dec 20 06:11:44 2014  4 relations: 33888
Sat Dec 20 06:11:44 2014  5 relations: 31301
Sat Dec 20 06:11:44 2014  6 relations: 27536
Sat Dec 20 06:11:44 2014  7 relations: 24355
Sat Dec 20 06:11:44 2014  8 relations: 21423
Sat Dec 20 06:11:44 2014  9 relations: 18915
Sat Dec 20 06:11:44 2014  10+ relations: 83283
Sat Dec 20 06:11:44 2014  heaviest cycle: 24 relations
Sat Dec 20 06:11:44 2014  RelProcTime: 94
Sat Dec 20 06:11:44 2014  
Sat Dec 20 06:11:44 2014  commencing linear algebra
Sat Dec 20 06:11:44 2014  read 351745 cycles
Sat Dec 20 06:11:45 2014  cycles contain 1260375 unique relations
Sat Dec 20 06:11:51 2014  read 1260375 relations
Sat Dec 20 06:11:52 2014  using 20 quadratic characters above 67107302
Sat Dec 20 06:11:55 2014  building initial matrix
Sat Dec 20 06:12:03 2014  memory use: 153.9 MB
Sat Dec 20 06:12:03 2014  read 351745 cycles
Sat Dec 20 06:12:03 2014  matrix is 351566 x 351745 (105.2 MB) with weight 33183546 (94.34/col)
Sat Dec 20 06:12:03 2014  sparse part has weight 23714211 (67.42/col)
Sat Dec 20 06:12:04 2014  filtering completed in 2 passes
Sat Dec 20 06:12:05 2014  matrix is 350836 x 351015 (105.1 MB) with weight 33151575 (94.44/col)
Sat Dec 20 06:12:05 2014  sparse part has weight 23703084 (67.53/col)
Sat Dec 20 06:12:05 2014  matrix starts at (0, 0)
Sat Dec 20 06:12:05 2014  matrix is 350836 x 351015 (105.1 MB) with weight 33151575 (94.44/col)
Sat Dec 20 06:12:05 2014  sparse part has weight 23703084 (67.53/col)
Sat Dec 20 06:12:05 2014  saving the first 48 matrix rows for later
Sat Dec 20 06:12:05 2014  matrix includes 64 packed rows
Sat Dec 20 06:12:05 2014  matrix is 350788 x 351015 (101.3 MB) with weight 26389323 (75.18/col)
Sat Dec 20 06:12:05 2014  sparse part has weight 23037319 (65.63/col)
Sat Dec 20 06:12:05 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 06:12:06 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 06:12:06 2014  memory use: 96.1 MB
Sat Dec 20 06:12:14 2014  linear algebra at 3.5%, ETA 0h 3m
Sat Dec 20 06:16:44 2014  lanczos halted after 5552 iterations (dim = 350787)
Sat Dec 20 06:16:44 2014  recovered 33 nontrivial dependencies
Sat Dec 20 06:16:44 2014  BLanczosTime: 300
Sat Dec 20 06:16:44 2014  
Sat Dec 20 06:16:44 2014  commencing square root phase
Sat Dec 20 06:16:44 2014  reading relations for dependency 1
Sat Dec 20 06:16:44 2014  read 175660 cycles
Sat Dec 20 06:16:45 2014  cycles contain 631886 unique relations
Sat Dec 20 06:16:53 2014  read 631886 relations
Sat Dec 20 06:16:55 2014  multiplying 631886 relations
Sat Dec 20 06:17:19 2014  multiply complete, coefficients have about 27.45 million bits
Sat Dec 20 06:17:19 2014  initial square root is modulo 76279589
Sat Dec 20 06:17:49 2014  GCD is 1, no factor found
Sat Dec 20 06:17:49 2014  reading relations for dependency 2
Sat Dec 20 06:17:49 2014  read 175186 cycles
Sat Dec 20 06:17:50 2014  cycles contain 629820 unique relations
Sat Dec 20 06:17:58 2014  read 629820 relations
Sat Dec 20 06:18:01 2014  multiplying 629820 relations
Sat Dec 20 06:18:20 2014  multiply complete, coefficients have about 27.36 million bits
Sat Dec 20 06:18:20 2014  initial square root is modulo 71854583
Sat Dec 20 06:18:53 2014  sqrtTime: 129
--
n: 1157068274713940978793413541204602269404803728092753272933378437005433705420161267711859020786334881589549
skew: 1705588.41
c0: -522539501330617288624228131
c1: 26098089458469915689676
c2: -25126075641983659
c3: -25557418154
c4: 2232
Y0: -26832844263373090245928124
Y1: 11031420022069
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

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

288334206675127011406123391851192833925579202476155694469935322674352183366217140595953349965117579<99>

98477686091206002975896650729815759808528873021<47>
2927914110492844727599947876369552924660738859818599<52>

N=288334206675127011406123391851192833925579202476155694469935322674352183366217140595953349965117579
  ( 99 digits)
Divisors found:
 r1=98477686091206002975896650729815759808528873021 (pp47)
 r2=2927914110492844727599947876369552924660738859818599 (pp52)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.73 hours.
Scaled time: 4.63 units (timescale=1.696).
Factorization parameters were as follows:
n: 288334206675127011406123391851192833925579202476155694469935322674352183366217140595953349965117579
skew: 600313.78
c0: -944087725895643804024083709
c1: -3804120039907900529346
c2: -2484071817619379
c3: -5638829966
c4: 26520
Y0: -322909381497797431498814
Y1: 9216862061
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [870000, 1170001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 196118 x 196345
Total sieving time: 2.53 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1740000,1740000,26,26,52,52,2.5,2.5,100000
total time: 2.73 hours.

18442678029170386579949403900757684458847188558470151048453292149470006684386948009337033668563920655776422258316007389<119>

659544169410746866593441594771891439<36>
27962764109714642690734738242723084127096684145735245431540530086593102199172696051<83>

Input number is 18442678029170386579949403900757684458847188558470151048453292149470006684386948009337033668563920655776422258316007389 (119 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3440346929
Step 1 took 7827ms
Step 2 took 6249ms
********** Factor found in step 2: 659544169410746866593441594771891439
Found probable prime factor of 36 digits: 659544169410746866593441594771891439
Probable prime cofactor 27962764109714642690734738242723084127096684145735245431540530086593102199172696051 has 83 digits

26070296206605354545053549860690935513412795910040147362715706934782044480303918852040963855000986937543501571926937416711161442258137<134>

5782731458175149460205546112306287<34>

4508301378883730967833254199395513372881175151470965373291274102453030578125464159214987089289162551<100>

Input number is 26070296206605354545053549860690935513412795910040147362715706934782044480303918852040963855000986937543501571926937416711161442258137 (134 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2071421222
Step 1 took 7587ms
Step 2 took 3505ms
********** Factor found in step 2: 5782731458175149460205546112306287
Found probable prime factor of 34 digits: 5782731458175149460205546112306287
Composite cofactor 4508301378883730967833254199395513372881175151470965373291274102453030578125464159214987089289162551 has 100 digits

4508301378883730967833254199395513372881175151470965373291274102453030578125464159214987089289162551<100>

3492311937794302464613717158161458789913581523<46>
1290921732991330050736767799811162491764326426193719437<55>

N=4508301378883730967833254199395513372881175151470965373291274102453030578125464159214987089289162551
  ( 100 digits)
Divisors found:
 r1=3492311937794302464613717158161458789913581523 (pp46)
 r2=1290921732991330050736767799811162491764326426193719437 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.68 hours.
Scaled time: 7.01 units (timescale=1.903).
Factorization parameters were as follows:
n: 4508301378883730967833254199395513372881175151470965373291274102453030578125464159214987089289162551
skew: 410806.18
c0: 85594944498756301717261136
c1: 4103473163463136035196
c2: -338339293164656
c3: -25878382201
c4: 41340
Y0: -574659737904940919012355
Y1: 1296256428907
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179856 x 180089
Total sieving time: 3.48 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 3.68 hours.

333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333353<168>

2341957941935515704863661279964064016630918926973494810551038382896717583587449<79>
142331050171571121570406903298660052841983825852485094259968446377468977130685036020189297<90>

Number: n
N=333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333353
  ( 168 digits)
SNFS difficulty: 168 digits.
Divisors found:

Tue Dec 23 13:20:29 2014  prp79 factor: 2341957941935515704863661279964064016630918926973494810551038382896717583587449
Tue Dec 23 13:20:29 2014  prp90 factor: 142331050171571121570406903298660052841983825852485094259968446377468977130685036020189297
Tue Dec 23 13:20:29 2014  elapsed time 00:14:19 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.280).
Factorization parameters were as follows:
#
#  N = 10^168+59 3(166)53
#
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333353
m: 1000000000000000000000000000000000
deg: 5
c5: 1000
c0: 59
skew: 0.57
# Murphy_E = 2.361e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: RFBsize:309335, AFBsize:309173,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2975990 hash collisions in 19333063 relations (16924694 unique)
Msieve: matrix is 611175 x 611402 (169.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 9min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 17sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

1867092513127060686668081922791616978667161072764142712336496374759821886842617730918734611656893370906703067502302591841813947591833412031282761638941276392986379<163>

1462557296838188913642923763008631314386339194397723585113405449<64>
1276594439864620100295448003189453840462781611350490771493007362062297311944725940927793896860275571<100>

03/20/15 07:40:56 v1.34.3, 
03/20/15 07:40:56 v1.34.3, ****************************
03/20/15 07:40:56 v1.34.3, Starting factorization of 1867092513127060686668081922791616978667161072764142712336496374759821886842617730918734611656893370906703067502302591841813947591833412031282761638941276392986379
03/20/15 07:40:56 v1.34.3, using pretesting plan: none
03/20/15 07:40:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/20/15 07:40:56 v1.34.3, ****************************
03/20/15 07:40:56 v1.34.3, nfs: commencing nfs on c163: 1867092513127060686668081922791616978667161072764142712336496374759821886842617730918734611656893370906703067502302591841813947591833412031282761638941276392986379
03/20/15 07:40:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/20/15 07:40:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/20/15 07:45:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
[51 lines snipped]
03/20/15 12:00:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/20/15 12:05:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/20/15 12:10:39 v1.34.3, nfs: commencing msieve filtering
03/20/15 12:12:48 v1.34.3, nfs: commencing msieve linear algebra
03/20/15 12:37:13 v1.34.3, nfs: commencing msieve sqrt
03/20/15 12:38:32 v1.34.3, prp100 = 1276594439864620100295448003189453840462781611350490771493007362062297311944725940927793896860275571
03/20/15 12:38:32 v1.34.3, prp64 = 1462557296838188913642923763008631314386339194397723585113405449
03/20/15 12:38:32 v1.34.3, NFS elapsed time = 17855.2523 seconds.
03/20/15 12:38:32 v1.34.3, 
03/20/15 12:38:32 v1.34.3, 
03/20/15 12:38:32 v1.34.3, Total factoring time = 17855.2534 seconds
--
Fri Mar 20 12:10:39 2015  
Fri Mar 20 12:10:39 2015  commencing relation filtering
Fri Mar 20 12:10:39 2015  estimated available RAM is 15987.3 MB
Fri Mar 20 12:10:39 2015  commencing duplicate removal, pass 1
Fri Mar 20 12:11:08 2015  found 1295269 hash collisions in 10203520 relations
Fri Mar 20 12:11:17 2015  added 371640 free relations
Fri Mar 20 12:11:17 2015  commencing duplicate removal, pass 2
Fri Mar 20 12:11:25 2015  found 810455 duplicates and 9764705 unique relations
Fri Mar 20 12:11:25 2015  memory use: 41.3 MB
Fri Mar 20 12:11:25 2015  reading ideals above 100000
Fri Mar 20 12:11:25 2015  commencing singleton removal, initial pass
Fri Mar 20 12:12:12 2015  memory use: 344.5 MB
Fri Mar 20 12:12:12 2015  reading all ideals from disk
Fri Mar 20 12:12:12 2015  memory use: 351.7 MB
Fri Mar 20 12:12:12 2015  keeping 10907085 ideals with weight <= 200, target excess is 50020
Fri Mar 20 12:12:13 2015  commencing in-memory singleton removal
Fri Mar 20 12:12:13 2015  begin with 9764705 relations and 10907085 unique ideals
Fri Mar 20 12:12:18 2015  reduce to 3793031 relations and 3674512 ideals in 19 passes
Fri Mar 20 12:12:18 2015  max relations containing the same ideal: 113
Fri Mar 20 12:12:19 2015  removing 347452 relations and 317204 ideals in 30248 cliques
Fri Mar 20 12:12:19 2015  commencing in-memory singleton removal
Fri Mar 20 12:12:19 2015  begin with 3445579 relations and 3674512 unique ideals
Fri Mar 20 12:12:20 2015  reduce to 3416447 relations and 3327820 ideals in 9 passes
Fri Mar 20 12:12:20 2015  max relations containing the same ideal: 103
Fri Mar 20 12:12:21 2015  removing 254576 relations and 224328 ideals in 30248 cliques
Fri Mar 20 12:12:21 2015  commencing in-memory singleton removal
Fri Mar 20 12:12:21 2015  begin with 3161871 relations and 3327820 unique ideals
Fri Mar 20 12:12:22 2015  reduce to 3145128 relations and 3086559 ideals in 7 passes
Fri Mar 20 12:12:22 2015  max relations containing the same ideal: 92
Fri Mar 20 12:12:23 2015  relations with 0 large ideals: 1142
Fri Mar 20 12:12:23 2015  relations with 1 large ideals: 279
Fri Mar 20 12:12:23 2015  relations with 2 large ideals: 4820
Fri Mar 20 12:12:23 2015  relations with 3 large ideals: 42924
Fri Mar 20 12:12:23 2015  relations with 4 large ideals: 203436
Fri Mar 20 12:12:23 2015  relations with 5 large ideals: 551948
Fri Mar 20 12:12:23 2015  relations with 6 large ideals: 915568
Fri Mar 20 12:12:23 2015  relations with 7+ large ideals: 1425011
Fri Mar 20 12:12:23 2015  commencing 2-way merge
Fri Mar 20 12:12:24 2015  reduce to 1808379 relation sets and 1749810 unique ideals
Fri Mar 20 12:12:24 2015  commencing full merge
Fri Mar 20 12:12:42 2015  memory use: 207.1 MB
Fri Mar 20 12:12:42 2015  found 904397 cycles, need 898010
Fri Mar 20 12:12:42 2015  weight of 898010 cycles is about 62919893 (70.07/cycle)
Fri Mar 20 12:12:42 2015  distribution of cycle lengths:
Fri Mar 20 12:12:42 2015  1 relations: 118215
Fri Mar 20 12:12:42 2015  2 relations: 108783
Fri Mar 20 12:12:42 2015  3 relations: 104543
Fri Mar 20 12:12:42 2015  4 relations: 92326
Fri Mar 20 12:12:42 2015  5 relations: 81112
Fri Mar 20 12:12:42 2015  6 relations: 67738
Fri Mar 20 12:12:42 2015  7 relations: 58746
Fri Mar 20 12:12:42 2015  8 relations: 48843
Fri Mar 20 12:12:42 2015  9 relations: 40662
Fri Mar 20 12:12:42 2015  10+ relations: 177042
Fri Mar 20 12:12:42 2015  heaviest cycle: 25 relations
Fri Mar 20 12:12:42 2015  commencing cycle optimization
Fri Mar 20 12:12:43 2015  start with 5373176 relations
Fri Mar 20 12:12:47 2015  pruned 106662 relations
Fri Mar 20 12:12:47 2015  memory use: 181.4 MB
Fri Mar 20 12:12:47 2015  distribution of cycle lengths:
Fri Mar 20 12:12:47 2015  1 relations: 118215
Fri Mar 20 12:12:47 2015  2 relations: 110824
Fri Mar 20 12:12:47 2015  3 relations: 107690
Fri Mar 20 12:12:47 2015  4 relations: 94022
Fri Mar 20 12:12:47 2015  5 relations: 82574
Fri Mar 20 12:12:47 2015  6 relations: 68299
Fri Mar 20 12:12:47 2015  7 relations: 58716
Fri Mar 20 12:12:47 2015  8 relations: 48437
Fri Mar 20 12:12:47 2015  9 relations: 40270
Fri Mar 20 12:12:47 2015  10+ relations: 168963
Fri Mar 20 12:12:47 2015  heaviest cycle: 25 relations
Fri Mar 20 12:12:48 2015  RelProcTime: 129
Fri Mar 20 12:12:48 2015  
Fri Mar 20 12:12:48 2015  commencing linear algebra
Fri Mar 20 12:12:49 2015  read 898010 cycles
Fri Mar 20 12:12:49 2015  cycles contain 3071684 unique relations
Fri Mar 20 12:13:03 2015  read 3071684 relations
Fri Mar 20 12:13:05 2015  using 20 quadratic characters above 134217488
Fri Mar 20 12:13:14 2015  building initial matrix
Fri Mar 20 12:13:30 2015  memory use: 372.4 MB
Fri Mar 20 12:13:30 2015  read 898010 cycles
Fri Mar 20 12:13:30 2015  matrix is 897833 x 898010 (269.7 MB) with weight 79976059 (89.06/col)
Fri Mar 20 12:13:30 2015  sparse part has weight 60813274 (67.72/col)
Fri Mar 20 12:13:35 2015  filtering completed in 2 passes
Fri Mar 20 12:13:35 2015  matrix is 896497 x 896673 (269.6 MB) with weight 79930679 (89.14/col)
Fri Mar 20 12:13:35 2015  sparse part has weight 60797552 (67.80/col)
Fri Mar 20 12:13:37 2015  matrix starts at (0, 0)
Fri Mar 20 12:13:37 2015  matrix is 896497 x 896673 (269.6 MB) with weight 79930679 (89.14/col)
Fri Mar 20 12:13:37 2015  sparse part has weight 60797552 (67.80/col)
Fri Mar 20 12:13:37 2015  saving the first 48 matrix rows for later
Fri Mar 20 12:13:37 2015  matrix includes 64 packed rows
Fri Mar 20 12:13:37 2015  matrix is 896449 x 896673 (255.6 MB) with weight 63670757 (71.01/col)
Fri Mar 20 12:13:37 2015  sparse part has weight 58043979 (64.73/col)
Fri Mar 20 12:13:37 2015  using block size 65536 for processor cache size 8192 kB
Fri Mar 20 12:13:39 2015  commencing Lanczos iteration (8 threads)
Fri Mar 20 12:13:39 2015  memory use: 248.5 MB
Fri Mar 20 12:13:44 2015  linear algebra at 0.3%, ETA 0h24m
Fri Mar 20 12:37:13 2015  lanczos halted after 14179 iterations (dim = 896449)
Fri Mar 20 12:37:13 2015  recovered 38 nontrivial dependencies
Fri Mar 20 12:37:13 2015  BLanczosTime: 1465
Fri Mar 20 12:37:13 2015  
Fri Mar 20 12:37:13 2015  commencing square root phase
Fri Mar 20 12:37:13 2015  reading relations for dependency 1
Fri Mar 20 12:37:13 2015  read 448347 cycles
Fri Mar 20 12:37:14 2015  cycles contain 1536170 unique relations
Fri Mar 20 12:37:24 2015  read 1536170 relations
Fri Mar 20 12:37:27 2015  multiplying 1536170 relations
Fri Mar 20 12:37:56 2015  multiply complete, coefficients have about 40.16 million bits
Fri Mar 20 12:37:56 2015  initial square root is modulo 583621
Fri Mar 20 12:38:31 2015  sqrtTime: 78
--
n: 1867092513127060686668081922791616978667161072764142712336496374759821886842617730918734611656893370906703067502302591841813947591833412031282761638941276392986379
m: 5000000000000000000000000000000000
deg: 5
c5: 16
c0: 295
skew: 1.79
# Murphy_E = 2.644e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

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

58844865151553907209396104343018288298111157450842876194934005574853669813113307585133948441632649550516473399861830533227889532900208284366073<143>

68369734625181600871529661904141728966317<41>
7997730623326578010099454310692931025904486316329<49>
107616262620383558812529325871891200765785523302337461<54>

Number: 33353_173
N = 58844865151553907209396104343018288298111157450842876194934005574853669813113307585133948441632649550516473399861830533227889532900208284366073 (143 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=68369734625181600871529661904141728966317 (pp41)
r2=7997730623326578010099454310692931025904486316329 (pp49)
r3=107616262620383558812529325871891200765785523302337461 (pp54)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 12.88 hours.
Factorization parameters were as follows:
n: 58844865151553907209396104343018288298111157450842876194934005574853669813113307585133948441632649550516473399861830533227889532900208284366073
m: 10000000000000000000000000000000000
deg: 5
c5: 1000
c0: 59
skew: 0.57
# Murphy_E = 1.497e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12408412
Relations: 1386264 relations
Pruned matrix : 896262 x 896487
Polynomial selection time: 0.00 hours.
Total sieving time: 12.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.64 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,200000
total time: 12.88 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 3.20GHz

193461017604952602050686786612497581737279938092474366415167343780228284000773844070419810408202747146449990326949119752369897465660669375120913136003095376281679241632811<171>

1082617316446444024837550459625276468420550481982401912342825044455162257<73>
178697508959088334887253141119531390060810244481121287705779751084028798847395564872315091262153723<99>

Number: n
N=193461017604952602050686786612497581737279938092474366415167343780228284000773844070419810408202747146449990326949119752369897465660669375120913136003095376281679241632811
  ( 171 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Dec 23 22:15:27 2014  prp73 factor: 1082617316446444024837550459625276468420550481982401912342825044455162257
Tue Dec 23 22:15:27 2014  prp99 factor: 178697508959088334887253141119531390060810244481121287705779751084028798847395564872315091262153723
Tue Dec 23 22:15:27 2014  elapsed time 00:21:56 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.281).
Factorization parameters were as follows:
#
#  N = 10^174+59 3(172)53
#
n: 193461017604952602050686786612497581737279938092474366415167343780228284000773844070419810408202747146449990326949119752369897465660669375120913136003095376281679241632811
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: 295
skew: 1.79
# Murphy_E = 1.673e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 11250000)
Primes: RFBsize:393606, AFBsize:394182,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3308274 hash collisions in 20592044 relations (17851348 unique)
Msieve: matrix is 718986 x 719212 (199.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 16min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

1368172047090263600910947706227982003653915971430016945833663279163140585636142479157494703644726376598366296910388425888136669530907819586233695909388857<154>

37328559125571788883521749022862079828891255426417524501857<59>
36652152645050863786089556236446391970242530443945802173867338668308837640541293981362088791001<95>

Number: 33353_175
N=1368172047090263600910947706227982003653915971430016945833663279163140585636142479157494703644726376598366296910388425888136669530907819586233695909388857
  ( 154 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=37328559125571788883521749022862079828891255426417524501857
 r2=36652152645050863786089556236446391970242530443945802173867338668308837640541293981362088791001
Version: 
Total time: 28.11 hours.
Scaled time: 147.71 units (timescale=5.254).
Factorization parameters were as follows:
n: 1368172047090263600910947706227982003653915971430016945833663279163140585636142479157494703644726376598366296910388425888136669530907819586233695909388857
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 59
skew: 2.26
# Murphy_E = 1.692e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16189506
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1155675 x 1155923
Total sieving time: 25.35 hours.
Total relation processing time: 1.29 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.5,2.5,100000
total time: 28.11 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.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

3977250129260629200970449031539593525036789563695660820108976653541741240106590303464184862586008034045261106470985960307043709978920574314918665234856620132840154317305015312413<178>

3239246972961488555056825515888897121389149<43>
1227831703621048586845105365496685456392565063679091855791452676051891067798976923541826886208846629680740516320314531917645779101651137<136>

Number: n
N=3977250129260629200970449031539593525036789563695660820108976653541741240106590303464184862586008034045261106470985960307043709978920574314918665234856620132840154317305015312413
  ( 178 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Dec 26 01:39:55 2014  prp43 factor: 3239246972961488555056825515888897121389149
Fri Dec 26 01:39:55 2014  prp136 factor: 1227831703621048586845105365496685456392565063679091855791452676051891067798976923541826886208846629680740516320314531917645779101651137
Fri Dec 26 01:39:55 2014  elapsed time 00:28:46 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.783).
Factorization parameters were as follows:
#
#  N = 10^182+59 3(180)53
#
n: 3977250129260629200970449031539593525036789563695660820108976653541741240106590303464184862586008034045261106470985960307043709978920574314918665234856620132840154317305015312413
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: 59
skew: 0.90
# Murphy_E = 8.08e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 6600000)
Primes: RFBsize:514565, AFBsize:515382,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4190337 hash collisions in 32363315 relations (30004290 unique)
Msieve: matrix is 790172 x 790401 (224.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 18min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 46sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

15878843319320679020248106232044011280479851971885786694336452147436681619033667539511923438362512755946993536779150983058778273718134845621899292637<149>

5953966686545496025433140413582874313905718244523<49>
2666935197202726920008546074640186998280931632420295228235401356110528403292035400707391292802112919<100>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 15878843319320679020248106232044011280479851971885786694336452147436681619033667539511923438362512755946993536779150983058778273718134845621899292637 (149 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5120628187
Step 1 took 24718ms
********** Factor found in step 1: 5953966686545496025433140413582874313905718244523
Found probable prime factor of 49 digits: 5953966686545496025433140413582874313905718244523
Probable prime cofactor 2666935197202726920008546074640186998280931632420295228235401356110528403292035400707391292802112919 has 100 digits

Core i7-4930K

310505373135648431381530022901158597135575324374150492275338205424765411940067454107013600642802614272795191635112106856943224772335189549092620904524336722763054930095261517<174>

41382586189118513492014577633495603183373966011665480914292998299760229<71>
7503285843872544994715364975950489310210856819818983819508652971167181685144008981815870164828335811273<103>

Tue Feb 14 12:33:09 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Feb 14 12:33:09 2017  random seeds: 8cf2af80 a454d6ee
Tue Feb 14 12:33:09 2017  factoring 310505373135648431381530022901158597135575324374150492275338205424765411940067454107013600642802614272795191635112106856943224772335189549092620904524336722763054930095261517 (174 digits)
Tue Feb 14 12:33:10 2017  no P-1/P+1/ECM available, skipping
Tue Feb 14 12:33:10 2017  commencing number field sieve (174-digit input)
Tue Feb 14 12:33:10 2017  R0: -10000000000000000000000000000000000000
Tue Feb 14 12:33:10 2017  R1: 1
Tue Feb 14 12:33:10 2017  A0: 59
Tue Feb 14 12:33:10 2017  A1: 0
Tue Feb 14 12:33:10 2017  A2: 0
Tue Feb 14 12:33:10 2017  A3: 0
Tue Feb 14 12:33:10 2017  A4: 0
Tue Feb 14 12:33:10 2017  A5: 100
Tue Feb 14 12:33:10 2017  skew 0.90, size 4.461e-13, alpha 0.092, combined = 5.058e-11 rroots = 1
Tue Feb 14 12:33:10 2017  
Tue Feb 14 12:33:10 2017  commencing relation filtering
Tue Feb 14 12:33:10 2017  estimated available RAM is 15929.4 MB
Tue Feb 14 12:33:10 2017  commencing duplicate removal, pass 1
Tue Feb 14 12:35:41 2017  found 2962454 hash collisions in 21648187 relations
Tue Feb 14 12:35:59 2017  added 462 free relations
Tue Feb 14 12:35:59 2017  commencing duplicate removal, pass 2
Tue Feb 14 12:36:04 2017  found 2599368 duplicates and 19049281 unique relations
Tue Feb 14 12:36:04 2017  memory use: 98.6 MB
Tue Feb 14 12:36:04 2017  reading ideals above 720000
Tue Feb 14 12:36:04 2017  commencing singleton removal, initial pass
Tue Feb 14 12:38:00 2017  memory use: 689.0 MB
Tue Feb 14 12:38:00 2017  reading all ideals from disk
Tue Feb 14 12:38:00 2017  memory use: 603.7 MB
Tue Feb 14 12:38:01 2017  keeping 21246666 ideals with weight <= 200, target excess is 115947
Tue Feb 14 12:38:02 2017  commencing in-memory singleton removal
Tue Feb 14 12:38:03 2017  begin with 19049281 relations and 21246666 unique ideals
Tue Feb 14 12:38:12 2017  reduce to 7537058 relations and 7333695 ideals in 19 passes
Tue Feb 14 12:38:12 2017  max relations containing the same ideal: 103
Tue Feb 14 12:38:15 2017  removing 471779 relations and 437347 ideals in 34432 cliques
Tue Feb 14 12:38:15 2017  commencing in-memory singleton removal
Tue Feb 14 12:38:15 2017  begin with 7065279 relations and 7333695 unique ideals
Tue Feb 14 12:38:18 2017  reduce to 7038326 relations and 6869187 ideals in 10 passes
Tue Feb 14 12:38:18 2017  max relations containing the same ideal: 99
Tue Feb 14 12:38:20 2017  removing 339151 relations and 304719 ideals in 34432 cliques
Tue Feb 14 12:38:20 2017  commencing in-memory singleton removal
Tue Feb 14 12:38:20 2017  begin with 6699175 relations and 6869187 unique ideals
Tue Feb 14 12:38:23 2017  reduce to 6684506 relations and 6549708 ideals in 8 passes
Tue Feb 14 12:38:23 2017  max relations containing the same ideal: 95
Tue Feb 14 12:38:26 2017  relations with 0 large ideals: 2858
Tue Feb 14 12:38:26 2017  relations with 1 large ideals: 907
Tue Feb 14 12:38:26 2017  relations with 2 large ideals: 16888
Tue Feb 14 12:38:26 2017  relations with 3 large ideals: 130290
Tue Feb 14 12:38:26 2017  relations with 4 large ideals: 551187
Tue Feb 14 12:38:26 2017  relations with 5 large ideals: 1336677
Tue Feb 14 12:38:26 2017  relations with 6 large ideals: 1987883
Tue Feb 14 12:38:26 2017  relations with 7+ large ideals: 2657816
Tue Feb 14 12:38:26 2017  commencing 2-way merge
Tue Feb 14 12:38:28 2017  reduce to 3867056 relation sets and 3732258 unique ideals
Tue Feb 14 12:38:28 2017  commencing full merge
Tue Feb 14 12:39:07 2017  memory use: 450.1 MB
Tue Feb 14 12:39:08 2017  found 1958224 cycles, need 1944458
Tue Feb 14 12:39:08 2017  weight of 1944458 cycles is about 136328300 (70.11/cycle)
Tue Feb 14 12:39:08 2017  distribution of cycle lengths:
Tue Feb 14 12:39:08 2017  1 relations: 284263
Tue Feb 14 12:39:08 2017  2 relations: 246498
Tue Feb 14 12:39:08 2017  3 relations: 228565
Tue Feb 14 12:39:08 2017  4 relations: 198020
Tue Feb 14 12:39:08 2017  5 relations: 172797
Tue Feb 14 12:39:08 2017  6 relations: 141979
Tue Feb 14 12:39:08 2017  7 relations: 120886
Tue Feb 14 12:39:08 2017  8 relations: 100677
Tue Feb 14 12:39:08 2017  9 relations: 82916
Tue Feb 14 12:39:08 2017  10+ relations: 367857
Tue Feb 14 12:39:08 2017  heaviest cycle: 26 relations
Tue Feb 14 12:39:08 2017  commencing cycle optimization
Tue Feb 14 12:39:11 2017  start with 11405945 relations
Tue Feb 14 12:39:21 2017  pruned 237880 relations
Tue Feb 14 12:39:21 2017  memory use: 384.1 MB
Tue Feb 14 12:39:21 2017  distribution of cycle lengths:
Tue Feb 14 12:39:21 2017  1 relations: 284263
Tue Feb 14 12:39:21 2017  2 relations: 251460
Tue Feb 14 12:39:21 2017  3 relations: 235750
Tue Feb 14 12:39:21 2017  4 relations: 201598
Tue Feb 14 12:39:21 2017  5 relations: 175362
Tue Feb 14 12:39:21 2017  6 relations: 143121
Tue Feb 14 12:39:21 2017  7 relations: 121098
Tue Feb 14 12:39:21 2017  8 relations: 99728
Tue Feb 14 12:39:21 2017  9 relations: 81603
Tue Feb 14 12:39:21 2017  10+ relations: 350475
Tue Feb 14 12:39:21 2017  heaviest cycle: 26 relations
Tue Feb 14 12:39:23 2017  RelProcTime: 373
Tue Feb 14 12:39:23 2017  elapsed time 00:06:14
Tue Feb 14 12:39:23 2017 LatSieveTime: 1126.33
Tue Feb 14 12:39:23 2017 -> Running matrix solving step ...
Tue Feb 14 12:39:23 2017 -> ./msieve -s 33353_187/33353_187.dat -l 33353_187/33353_187.log -i 33353_187/33353_187.ini -nf 33353_187/33353_187.fb -t 6 -nc2
Tue Feb 14 12:39:23 2017  
Tue Feb 14 12:39:23 2017  
Tue Feb 14 12:39:23 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Feb 14 12:39:23 2017  random seeds: 67ab7f34 922366e5
Tue Feb 14 12:39:23 2017  factoring 310505373135648431381530022901158597135575324374150492275338205424765411940067454107013600642802614272795191635112106856943224772335189549092620904524336722763054930095261517 (174 digits)
Tue Feb 14 12:39:24 2017  no P-1/P+1/ECM available, skipping
Tue Feb 14 12:39:24 2017  commencing number field sieve (174-digit input)
Tue Feb 14 12:39:24 2017  R0: -10000000000000000000000000000000000000
Tue Feb 14 12:39:24 2017  R1: 1
Tue Feb 14 12:39:24 2017  A0: 59
Tue Feb 14 12:39:24 2017  A1: 0
Tue Feb 14 12:39:24 2017  A2: 0
Tue Feb 14 12:39:24 2017  A3: 0
Tue Feb 14 12:39:24 2017  A4: 0
Tue Feb 14 12:39:24 2017  A5: 100
Tue Feb 14 12:39:24 2017  skew 0.90, size 4.461e-13, alpha 0.092, combined = 5.058e-11 rroots = 1
Tue Feb 14 12:39:24 2017  
Tue Feb 14 12:39:24 2017  commencing linear algebra
Tue Feb 14 12:39:24 2017  read 1944458 cycles
Tue Feb 14 12:39:26 2017  cycles contain 6519890 unique relations
Tue Feb 14 12:39:57 2017  read 6519890 relations
Tue Feb 14 12:40:01 2017  using 20 quadratic characters above 4294917295
Tue Feb 14 12:40:26 2017  building initial matrix
Tue Feb 14 12:41:02 2017  memory use: 791.7 MB
Tue Feb 14 12:41:02 2017  read 1944458 cycles
Tue Feb 14 12:41:02 2017  matrix is 1944279 x 1944458 (584.4 MB) with weight 173959051 (89.46/col)
Tue Feb 14 12:41:02 2017  sparse part has weight 131802321 (67.78/col)
Tue Feb 14 12:41:13 2017  filtering completed in 2 passes
Tue Feb 14 12:41:13 2017  matrix is 1941586 x 1941765 (584.1 MB) with weight 173866431 (89.54/col)
Tue Feb 14 12:41:13 2017  sparse part has weight 131771029 (67.86/col)
Tue Feb 14 12:41:17 2017  matrix starts at (0, 0)
Tue Feb 14 12:41:17 2017  matrix is 1941586 x 1941765 (584.1 MB) with weight 173866431 (89.54/col)
Tue Feb 14 12:41:17 2017  sparse part has weight 131771029 (67.86/col)
Tue Feb 14 12:41:17 2017  saving the first 48 matrix rows for later
Tue Feb 14 12:41:18 2017  matrix includes 64 packed rows
Tue Feb 14 12:41:18 2017  matrix is 1941538 x 1941765 (559.5 MB) with weight 140026117 (72.11/col)
Tue Feb 14 12:41:18 2017  sparse part has weight 127248860 (65.53/col)
Tue Feb 14 12:41:18 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Feb 14 12:41:22 2017  commencing Lanczos iteration (6 threads)
Tue Feb 14 12:41:22 2017  memory use: 449.8 MB
Tue Feb 14 12:41:27 2017  linear algebra at 0.1%, ETA 1h46m
Tue Feb 14 12:41:29 2017  checkpointing every 1050000 dimensions
Tue Feb 14 14:14:03 2017  lanczos halted after 30702 iterations (dim = 1941532)
Tue Feb 14 14:14:05 2017  recovered 35 nontrivial dependencies
Tue Feb 14 14:14:05 2017  BLanczosTime: 5681
Tue Feb 14 14:14:05 2017  elapsed time 01:34:42
Tue Feb 14 14:14:05 2017 -> Running square root step ...
Tue Feb 14 14:14:05 2017 -> ./msieve -s 33353_187/33353_187.dat -l 33353_187/33353_187.log -i 33353_187/33353_187.ini -nf 33353_187/33353_187.fb -t 6 -nc3
Tue Feb 14 14:14:05 2017  
Tue Feb 14 14:14:05 2017  
Tue Feb 14 14:14:05 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Feb 14 14:14:05 2017  random seeds: de67dcc8 3257c5ae
Tue Feb 14 14:14:05 2017  factoring 310505373135648431381530022901158597135575324374150492275338205424765411940067454107013600642802614272795191635112106856943224772335189549092620904524336722763054930095261517 (174 digits)
Tue Feb 14 14:14:06 2017  no P-1/P+1/ECM available, skipping
Tue Feb 14 14:14:06 2017  commencing number field sieve (174-digit input)
Tue Feb 14 14:14:06 2017  R0: -10000000000000000000000000000000000000
Tue Feb 14 14:14:06 2017  R1: 1
Tue Feb 14 14:14:06 2017  A0: 59
Tue Feb 14 14:14:06 2017  A1: 0
Tue Feb 14 14:14:06 2017  A2: 0
Tue Feb 14 14:14:06 2017  A3: 0
Tue Feb 14 14:14:06 2017  A4: 0
Tue Feb 14 14:14:06 2017  A5: 100
Tue Feb 14 14:14:06 2017  skew 0.90, size 4.461e-13, alpha 0.092, combined = 5.058e-11 rroots = 1
Tue Feb 14 14:14:06 2017  
Tue Feb 14 14:14:06 2017  commencing square root phase
Tue Feb 14 14:14:06 2017  reading relations for dependency 1
Tue Feb 14 14:14:06 2017  read 971272 cycles
Tue Feb 14 14:14:07 2017  cycles contain 3262068 unique relations
Tue Feb 14 14:14:22 2017  read 3262068 relations
Tue Feb 14 14:14:31 2017  multiplying 3262068 relations
Tue Feb 14 14:15:50 2017  multiply complete, coefficients have about 94.74 million bits
Tue Feb 14 14:15:50 2017  initial square root is modulo 6309271
Tue Feb 14 14:17:31 2017  sqrtTime: 205
Tue Feb 14 14:17:31 2017  p71 factor: 41382586189118513492014577633495603183373966011665480914292998299760229
Tue Feb 14 14:17:31 2017  p103 factor: 7503285843872544994715364975950489310210856819818983819508652971167181685144008981815870164828335811273
Tue Feb 14 14:17:31 2017  elapsed time 00:03:26

Msieve 1.53 snfs

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

2560910669830719099414073267064446408534979714592184162605955277318103857481969397987893873464041338884330583707578734282986375180382668891241116098915869180230200815007<169>

289784555439895969950723399519431403930302797097<48>
3115849481192005330856300951245592401566838987119211253<55>
2836238346424684205042695847550201013745344714329566161394211420427<67>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 2560910669830719099414073267064446408534979714592184162605955277318103857481969397987893873464041338884330583707578734282986375180382668891241116098915869180230200815007 (169 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7747212498
Step 1 took 29682ms
Step 2 took 10165ms
********** Factor found in step 2: 289784555439895969950723399519431403930302797097
Found probable prime factor of 48 digits: 289784555439895969950723399519431403930302797097
Composite cofactor 8837291780244223367963780844367842551989750112480616157463043236205564679402135577068687249707615321491875957825012465031 has 121 digits

Number: 33353_189
N=8837291780244223367963780844367842551989750112480616157463043236205564679402135577068687249707615321491875957825012465031
  ( 121 digits)
Divisors found:
 r1=3115849481192005330856300951245592401566838987119211253
 r2=2836238346424684205042695847550201013745344714329566161394211420427
Version: 
Total time: 20.88 hours.
Scaled time: 109.46 units (timescale=5.243).
Factorization parameters were as follows:
name: 33353_189
n: 8837291780244223367963780844367842551989750112480616157463043236205564679402135577068687249707615321491875957825012465031
skew: 75210.15
# norm 1.12e+17
c5: 188100
c4: 21639189324
c3: -3759731786605141
c2: 22339975863186630425
c1: 9200827190830262818118225
c0: -82169942035131990305048089125
# alpha -7.02
Y1: 10773755097557
Y0: -136265304089565996533632
# Murphy_E 2.49e-10
# M 4426514940485520759578322314785701492287522660412227486192850122493789127081982559696808157722756634813781869410811119122
type: gnfs
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10717138
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 817926 x 818174
Polynomial selection time: 2.99 hours.
Total sieving time: 16.50 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 20.88 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

34621248091696690886604532103481511084013690583836661014267944319628860861326943331873965339972982823004837470510948084461846238866132341975076878206899093653<158>

1908781850530743840182314465381787852017273201<46>
18137875777721862267071874843281875192984161883404732438135627278684313485248061059454110490736240019335998814053<113>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 34621248091696690886604532103481511084013690583836661014267944319628860861326943331873965339972982823004837470510948084461846238866132341975076878206899093653 (158 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1669611729
Step 1 took 29385ms
Step 2 took 9727ms
********** Factor found in step 2: 1908781850530743840182314465381787852017273201
Found probable prime factor of 46 digits: 1908781850530743840182314465381787852017273201
Probable prime cofactor 18137875777721862267071874843281875192984161883404732438135627278684313485248061059454110490736240019335998814053 has 113 digits

Core i7-4930K

17328761246203312401376012285351657246318554374933534155175201320395637235753749416452126853521046026082470064785579153527237208961440090720693568088898641<155>

65049818158037596671002659799<29>

266392155072645037095816942302058955358495553643466021088865616410260015843700777496865728514142591406443807402250163112129559<126>

Input number is 17328761246203312401376012285351657246318554374933534155175201320395637235753749416452126853521046026082470064785579153527237208961440090720693568088898641 (155 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=453894144
Step 1 took 11481ms
Step 2 took 8066ms
********** Factor found in step 2: 65049818158037596671002659799
Found probable prime factor of 29 digits: 65049818158037596671002659799
Composite cofactor 266392155072645037095816942302058955358495553643466021088865616410260015843700777496865728514142591406443807402250163112129559 has 126 digits

266392155072645037095816942302058955358495553643466021088865616410260015843700777496865728514142591406443807402250163112129559<126>

148625087373329742107733001152935722756890415863265817<54>
1792376776899699828037525833381914140525970845110592375149931736729732527<73>

Number: 33353_194
N = 266392155072645037095816942302058955358495553643466021088865616410260015843700777496865728514142591406443807402250163112129559 (126 digits)
Divisors found:
r1=148625087373329742107733001152935722756890415863265817 (pp54)
r2=1792376776899699828037525833381914140525970845110592375149931736729732527 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 27.90 hours.
Factorization parameters were as follows:
# Murphy_E = 1.277e-10, selected by Maksym Voznyy
n: 266392155072645037095816942302058955358495553643466021088865616410260015843700777496865728514142591406443807402250163112129559
Y0: -5608621536989041931530185
Y1: 500793847471
c0: -3494915207006337855771016626061576
c1: 4167471652852034299442677206
c2: 2875454158298693031467
c3: -2714532660432864
c4: -597603556
c5: 48
skew: 2611793.46
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11607799
Relations: 1714542 relations
Pruned matrix : 1016483 x 1016711
Polynomial selection time: 0.00 hours.
Total sieving time: 27.18 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,7400000,7400000,27,27,53,53,2.5,2.5,100000
total time: 27.90 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

3893608199464691401174825721808506393824413293973441480690936477601484632134551149937510891479988678570264471871900548200014914017403886815811257154433252023953<160>

488521251586885572630453751811387216687<39>
7970192057800778601866229202195059822493075900225299001206792806129837560337652543503681917267157472002147996319521798719<121>

Input number is 3893608199464691401174825721808506393824413293973441480690936477601484632134551149937510891479988678570264471871900548200014914017403886815811257154433252023953 (160 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1986547214
Step 1 took 10982ms
********** Factor found in step 1: 488521251586885572630453751811387216687
Found probable prime factor of 39 digits: 488521251586885572630453751811387216687
Probable prime cofactor 7970192057800778601866229202195059822493075900225299001206792806129837560337652543503681917267157472002147996319521798719 has 121 digits

156620262217297590469192171783716885119284276559483033282041158038215301632296109342836510331780192943370133423753937854616901702606642219923053686802361736763016011227195328529<177>

10536563904969700069169983453422704491<38>
14864453310383825966680056138005619058181527181285396739643210582370339197265372364255484717315664308210924638615928826668414563317900495219<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2149063956
Step 1 took 75144ms
Step 2 took 20586ms
********** Factor found in step 2: 10536563904969700069169983453422704491
Found probable prime factor of 38 digits: 10536563904969700069169983453422704491

3381733104271643863261139978495134639334694087788626551995424230040667464711264011724971016924691585220782350407363823941948610109407259360335482943647<151>

252821341246505712433661120151701<33>
13375979605196336970556990025064023309615893317323263305316614110187635302830125094118879793630334505342221276390523747<119>

Input number is 3381733104271643863261139978495134639334694087788626551995424230040667464711264011724971016924691585220782350407363823941948610109407259360335482943647 (151 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2944831641
Step 1 took 9162ms
Step 2 took 7425ms
********** Factor found in step 2: 252821341246505712433661120151701
Found probable prime factor of 33 digits: 252821341246505712433661120151701
Probable prime cofactor 13375979605196336970556990025064023309615893317323263305316614110187635302830125094118879793630334505342221276390523747 has 119 digits

1154420319091221919277755021656705780747640107459119919441031195879617095498349951479126584528621205978245625667649150188857526666869472271564676739726265312955746537603968850577560951<184>

104027940542653868268602717525354089<36>

11097214008748763172910191300055459528614463508297702584446900120853822892595130687884604733396993135754826816236007614447630712770321652830887387359<149>

Input number is 1154420319091221919277755021656705780747640107459119919441031195879617095498349951479126584528621205978245625667649150188857526666869472271564676739726265312955746537603968850577560951 (184 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=617348971
Step 1 took 11862ms
Step 2 took 8222ms
********** Factor found in step 2: 104027940542653868268602717525354089
Found probable prime factor of 36 digits: 104027940542653868268602717525354089
Composite cofactor 11097214008748763172910191300055459528614463508297702584446900120853822892595130687884604733396993135754826816236007614447630712770321652830887387359 has 149 digits

11097214008748763172910191300055459528614463508297702584446900120853822892595130687884604733396993135754826816236007614447630712770321652830887387359<149>

875961223300919686256437818793423441646679343<45>
12668613305656029058797783618825077858834007071331451281453209566810771719104188410111814472726183871313<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11097214008748763172910191300055459528614463508297702584446900120853822892595130687884604733396993135754826816236007614447630712770321652830887387359 (149 digits)
Using B1=50800000, B2=288592384096, polynomial Dickson(12), sigma=1:124552361
Step 1 took 102096ms
Step 2 took 37999ms
********** Factor found in step 2: 875961223300919686256437818793423441646679343
Found prime factor of 45 digits: 875961223300919686256437818793423441646679343
Prime cofactor 12668613305656029058797783618825077858834007071331451281453209566810771719104188410111814472726183871313 has 104 digits

19804906818891694455750420571227148755337809658727610185647135697634841535978954758119979666559900849415238851553508103862782772831778501201287451730290698797584740773859531<173>

1015416216965961537611086712699207101<37>
19504225447637880595396013844370874757010556204724933640416028069415409798387539794433668615845987458700200253569440435749708012452699431<137>

Input number is 19804906818891694455750420571227148755337809658727610185647135697634841535978954758119979666559900849415238851553508103862782772831778501201287451730290698797584740773859531 (173 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2248146616
Step 1 took 11078ms
Step 2 took 8301ms
********** Factor found in step 2: 1015416216965961537611086712699207101
Found probable prime factor of 37 digits: 1015416216965961537611086712699207101
Probable prime cofactor 19504225447637880595396013844370874757010556204724933640416028069415409798387539794433668615845987458700200253569440435749708012452699431 has 137 digits

13418409615171422697650090998620035323707433906063897658802782625046013902970685637319572656983233788829592240521377559811740153824746123404322860307094450280886108345085355517391884461<185>

81165913888668777015165910366648135048012992198188733895367<59>
165320748234003547145536443280940146682943562812624866727148115945533372960995887563394068799510089446578172193501274333007083<126>

Number: n
N=13418409615171422697650090998620035323707433906063897658802782625046013902970685637319572656983233788829592240521377559811740153824746123404322860307094450280886108345085355517391884461  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Oct 23 19:53:18 2021  p59 factor: 81165913888668777015165910366648135048012992198188733895367
Sat Oct 23 19:53:18 2021  p126 factor: 165320748234003547145536443280940146682943562812624866727148115945533372960995887563394068799510089446578172193501274333007083
Sat Oct 23 19:53:18 2021  elapsed time 01:50:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 10^205+59 = 3(203)53
#
n: 13418409615171422697650090998620035323707433906063897658802782625046013902970685637319572656983233788829592240521377559811740153824746123404322860307094450280886108345085355517391884461
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 59
skew: 2.26
# Murphy_E = 9.85e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9745212 hash collisions in 64886395 relations (57621448 unique)
Msieve: matrix is 2185022 x 2185249 (752.5 MB)

Sieving start time : 2021/10/23 05:27:01
Sieving end time  : 2021/10/23 18:01:22

Total sieving time: 12hrs 34min 21secs.

Total relation processing time: 1hrs 32min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

71939743498073146827289344573686892491405682296840842214168721557566030365415182417142733371368686750654158348288523664722357948177615419325988170016198338550450991<164>

209287570514522807607213362374342639<36>
390658563845186587920137345999002905229407977980761075513138683<63>
879889427293826461182453086412119908867186813590503761325003254643<66>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3301721869
Step 1 took 56518ms
Step 2 took 18479ms
********** Factor found in step 2: 209287570514522807607213362374342639
Found probable prime factor of 36 digits: 209287570514522807607213362374342639
Composite cofactor 343736340009169966898385358852483206804362380827594300328171358808067931740296891168831994451306916270517705006025926283222655169 has 129 digits


N=343736340009169966898385358852483206804362380827594300328171358808067931740296891168831994451306916270517705006025926283222655169
  ( 129 digits)
Divisors found:
 r1=390658563845186587920137345999002905229407977980761075513138683 (pp63)
 r2=879889427293826461182453086412119908867186813590503761325003254643 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 77.12 hours.
Scaled time: 153.16 units (timescale=1.986).
Factorization parameters were as follows:
n: 343736340009169966898385358852483206804362380827594300328171358808067931740296891168831994451306916270517705006025926283222655169
skew: 1601779.07
c0: 6344000222465275244797130554747760
c1: 15319460709706334495751296396
c2: -22131650062626922331216
c3: -13679027303170289
c4: 9461939124
c5: 1980
Y0: -11166361275915968895423411
Y1: 10135312395929
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 600000
type: gnfs
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [4300000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1242816 x 1243042
Total sieving time: 75.47 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8600000,8600000,28,28,56,56,2.5,2.5,100000
total time: 77.12 hours.
 --------- CPU info (if available) ----------

4694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779342723004694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779343<205>

591932038517505156089699717968247084189209464230024069891763072300446721203<75>
7931376197357720367047359783338764511163199260659815312763372019707791344549542657231675089912674018108977584170324646166845867381<130>

Number: n
N=4694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779342723004694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779343  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jul  9 18:05:47 2020  p75 factor: 591932038517505156089699717968247084189209464230024069891763072300446721203
Thu Jul  9 18:05:47 2020  p130 factor: 7931376197357720367047359783338764511163199260659815312763372019707791344549542657231675089912674018108977584170324646166845867381
Thu Jul  9 18:05:47 2020  elapsed time 02:20:07 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 10^207+59 = 3(205)53
#
n: 4694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779342723004694835680751173708920187793427230046948356807511737089201877934272300469483568075117370892018779343
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 59
skew: 0.90
# Murphy_E = 7.442e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9488644 hash collisions in 62215822 relations (54978522 unique)
Msieve: matrix is 2403935 x 2404161 (841.2 MB)

Sieving start time: 2020/07/08 23:31:31
Sieving end time  : 2020/07/09 15:44:46

Total sieving time: 16hrs 13min 15secs.

Total relation processing time: 1hrs 59min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 22sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.150655] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283140K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420320K reserved, 0K cma-reserved)
[    0.184724] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.65 BogoMIPS (lpj=11977304)
[    0.182225] smpboot: Total of 16 processors activated (95818.43 BogoMIPS)

73951791471723716294556126290829324809905896611061478688212278972677927028423947240036576706977595529063627601527686689890144561273201645034413447120993044248993283064730035327249504459123<188>

21835518891508246276911733191850550306598337815305633520662907259<65>
3386765931194943963525835539020421054180115779202238448251282261315231877116061713246567017478927194157361805753752436245097<124>

Number: n
N=73951791471723716294556126290829324809905896611061478688212278972677927028423947240036576706977595529063627601527686689890144561273201645034413447120993044248993283064730035327249504459123  ( 188 digits)
SNFS difficulty: 208 digits.
Divisors found:

Wed Aug 25 05:45:07 2021  p65 factor: 21835518891508246276911733191850550306598337815305633520662907259
Wed Aug 25 05:45:07 2021  p124 factor: 3386765931194943963525835539020421054180115779202238448251282261315231877116061713246567017478927194157361805753752436245097
Wed Aug 25 05:45:07 2021  elapsed time 03:03:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 10^208+59 = 3(206)53
#
n: 73951791471723716294556126290829324809905896611061478688212278972677927028423947240036576706977595529063627601527686689890144561273201645034413447120993044248993283064730035327249504459123
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 59
skew: 0.57
# Murphy_E = 5.459e-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, 52100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10885623 hash collisions in 67155898 relations (58585392 unique)
Msieve: matrix is 2781192 x 2781420 (962.9 MB)

Sieving start time : 2021/08/24 07:34:51
Sieving end time  : 2021/08/25 02:40:16

Total sieving time: 19hrs 5min 25secs.

Total relation processing time: 2hrs 42min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 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) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

176088971629746969791583510765396948843233552765045889155457160915843436101489483492411463173418360547785573948246579135363682464369557326577337250263970305848156178648459107462705871019568056061<195>

746832104236239613122426674923298103569499059<45>
235781202536582586067832876201881128455958911069549160142434934981439841137406613771679528530506908533489854210502083654362467788850765094340703105679<150>

Number: n
N=176088971629746969791583510765396948843233552765045889155457160915843436101489483492411463173418360547785573948246579135363682464369557326577337250263970305848156178648459107462705871019568056061
  ( 195 digits)
SNFS difficulty: 209 digits.
Divisors found:

Fri Jun 25 15:54:59 2021  p45 factor: 746832104236239613122426674923298103569499059
Fri Jun 25 15:54:59 2021  p150 factor: 235781202536582586067832876201881128455958911069549160142434934981439841137406613771679528530506908533489854210502083654362467788850765094340703105679
Fri Jun 25 15:54:59 2021  elapsed time 02:54:32 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 10^209+59 = 3(207)53
#
n: 176088971629746969791583510765396948843233552765045889155457160915843436101489483492411463173418360547785573948246579135363682464369557326577337250263970305848156178648459107462705871019568056061
m: 500000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 295
skew: 1.79
# Murphy_E = 6.019e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8441083 hash collisions in 59150495 relations (52944332 unique)
Msieve: matrix is 2681106 x 2681331 (939.5 MB)

Sieving start time : 2021/06/24 23:11:52
Sieving end time  : 2021/06/25 12:59:15

Total sieving time: 13hrs 47min 23secs.

Total relation processing time: 2hrs 28min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 11sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
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)

1765644560869791788012026952231097595847224807839935400806065610099659809378352253372036313167691690683499862922097619248509743470280062750830278763684333445451587669771803<172>

3461321328171955663476672595171742197439723768540829206907510481994767615717<76>
510107093062720695309068988760376991871941878213140334291552748507898845469685254361826633058559<96>

Number: 33353_210
N = 1765644560869791788012026952231097595847224807839935400806065610099659809378352253372036313167691690683499862922097619248509743470280062750830278763684333445451587669771803 (172 digits)
SNFS difficulty: 211 digits.
Divisors found:
r1=3461321328171955663476672595171742197439723768540829206907510481994767615717 (pp76)
r2=510107093062720695309068988760376991871941878213140334291552748507898845469685254361826633058559 (pp96)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 69.45 hours.
Factorization parameters were as follows:
n: 1765644560869791788012026952231097595847224807839935400806065610099659809378352253372036313167691690683499862922097619248509743470280062750830278763684333445451587669771803
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 59
skew: 2.26
# Murphy_E = 6.044e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 43331977
Relations: 7378094 relations
Pruned matrix : 4445562 x 4445791
Total sieving time: 65.08 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.10 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,211,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 69.45 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

80823410592848228829831715098235509069295673622696508078817556614768782586340019961152325715223567261531481954465826836967372225346011411302180059757672817453477198121393<170>

44026635468901690505567949619106137884950455474736796810116163862721708863991748694770846899133911720650206971166914033513860617918283189990614378147450894615333883446687650598657956549686852807<194>

1824859994873360759436609366963133<34>
24126034650651100065094282682772789930948826523921874847191519492457822292896080085901233676129907799170365854245486006701336199511864081352641846034390812244179<161>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=377914759
Step 1 took 18437ms
Step 2 took 13165ms
********** Factor found in step 2: 1824859994873360759436609366963133
Found probable prime factor of 34 digits: 1824859994873360759436609366963133
Probable prime cofactor

2117121990819997628208156808350933570946868088921505718796260694868401881618219113687707987413071066780786958259726908652284446689652410892213477213961996344531325409620471719929429712351879<190>

28757067444826301992233994096519277513190414687916858341813996832430758362150244867448875960071152650909487734039820626575109424329607154534960496301127868603001366466443275472943215083683782157403829363<203>

324071543774684292045854608490856273749554179216552814434947<60>
830181432729112828242909627013243505879266825301999546816466467372519<69>
106888426034094507731938324103631224713047595986011280304374870715118339591<75>

Number: n
N=28757067444826301992233994096519277513190414687916858341813996832430758362150244867448875960071152650909487734039820626575109424329607154534960496301127868603001366466443275472943215083683782157403829363
  ( 203 digits)
SNFS difficulty: 216 digits.
Divisors found:

Tue Sep 24 14:01:35 2019  found factor: 324071543774684292045854608490856273749554179216552814434947
Tue Sep 24 14:07:58 2019  p60 factor: 324071543774684292045854608490856273749554179216552814434947
Tue Sep 24 14:07:58 2019  p69 factor: 830181432729112828242909627013243505879266825301999546816466467372519
Tue Sep 24 14:07:58 2019  p75 factor: 106888426034094507731938324103631224713047595986011280304374870715118339591
Tue Sep 24 14:07:58 2019  elapsed time 06:13:37 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 10^216+59 = 3(214)53
#
n: 28757067444826301992233994096519277513190414687916858341813996832430758362150244867448875960071152650909487734039820626575109424329607154534960496301127868603001366466443275472943215083683782157403829363
m: 1000000000000000000000000000000000000
deg: 6
c6: 1
c0: 59
skew: 1.97
# Murphy_E = 3.378e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 46800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9148657 hash collisions in 56261074 relations (49271779 unique)
Msieve: matrix is 3802265 x 3802490 (1326.1 MB)

Sieving start time: 2019/09/23 15:13:15
Sieving end time  : 2019/09/24 07:53:26

Total sieving time: 16hrs 40min 11secs.

Total relation processing time: 5hrs 43min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 45sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

102225303004858675366628914762176344062484043243981296811443401336852011210827124578387859647628021312453025672239630458497707294908937704127372439962110905549932324111102606589136578111226995981<195>

496748779239875018007143247445469402758942719898265850011673596312137062923167866314968530964835153917609247475274329513335220978694444858401760477673626117063817315668946743563377692999319454172441371225330213751<213>

824108767819421410282147837061200918099<39>

602770894616573884189000942559600444084246590161248076747153496197439070427259254273478059334867379246206138156787649415751271815458341228048665919320457626924497797088883149<174>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=820186610
Step 1 took 6263ms
Step 2 took 3499ms
********** Factor found in step 2: 824108767819421410282147837061200918099
Found probable prime factor of 39 digits: 824108767819421410282147837061200918099
Composite cofactor

315086459979749797629739632653578406704947074116796501122862333160271290440932365287164938825268110540577752801655550114931861552403542539683626377233409096400190170600260117751880717631<186>

186825023115169824827189141850653699485533774952449004940665179899950168815359<78>
1686532428718138861135843253686348180635414295154390059127871427861677780977405177721729061353000089410396609<109>

Number: 33353_220
N = 315086459979749797629739632653578406704947074116796501122862333160271290440932365287164938825268110540577752801655550114931861552403542539683626377233409096400190170600260117751880717631 (186 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=186825023115169824827189141850653699485533774952449004940665179899950168815359 (pp78)
r2=1686532428718138861135843253686348180635414295154390059127871427861677780977405177721729061353000089410396609 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.50 hours.
Factorization parameters were as follows:
n: 315086459979749797629739632653578406704947074116796501122862333160271290440932365287164938825268110540577752801655550114931861552403542539683626377233409096400190170600260117751880717631
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 59
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 31236263
Relations: 7510572 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 44.10 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 6486107 x 6486354
Matrix solve time: 26.89 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 71.50 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

383355252780433718648196461832066502193818111764035439123211264761470622740454692316052679081016993875802261036725888020220278139111049734885769851728448302344575349075799842159539577768554476294352497590678113<210>

503770155259439561656724556606824996220773568241146149320419951033067392408893<78>
760972536340520881764434469599671144895802332023678707411064323494804037049092556706925534985414520832653754220903752346840074519541<132>

Number: 33353_222
N = 383355252780433718648196461832066502193818111764035439123211264761470622740454692316052679081016993875802261036725888020220278139111049734885769851728448302344575349075799842159539577768554476294352497590678113 (210 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=503770155259439561656724556606824996220773568241146149320419951033067392408893 (pp78)
r2=760972536340520881764434469599671144895802332023678707411064323494804037049092556706925534985414520832653754220903752346840074519541 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.03 hours.
Factorization parameters were as follows:
n: 383355252780433718648196461832066502193818111764035439123211264761470622740454692316052679081016993875802261036725888020220278139111049734885769851728448302344575349075799842159539577768554476294352497590678113
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 59
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8102742 relations
Pruned matrix : 7042225 x 7042450
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.65 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 28.91 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 67.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

2334774527199109532428297536899498682249700817804801395626090911827442974636711709798028835114121844737611604397681803064689149570214377952488141328291334520582234452325024438137989<181>

1220921409686247217460958745068924899530519494292676185393130406629322148423082435181421234844291629979314039411719266055545568107636313090979153537009683682471100823842026159842761322432529061594717<199>

1651193246623131504671594879768849<34>

739417637628523095560664045855343973962168251762399871688330917069361551909195728451769349003378203021684330931276591018481924364224987965045529569057673838714632333<165>

Input number is 1220921409686247217460958745068924899530519494292676185393130406629322148423082435181421234844291629979314039411719266055545568107636313090979153537009683682471100823842026159842761322432529061594717 (199 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4085977522
Step 1 took 15972ms
Step 2 took 10251ms
********** Factor found in step 2: 1651193246623131504671594879768849
Found probable prime factor of 34 digits: 1651193246623131504671594879768849
Composite cofactor 739417637628523095560664045855343973962168251762399871688330917069361551909195728451769349003378203021684330931276591018481924364224987965045529569057673838714632333 has 165 digits

13349922753147732085219535792360100420972094668043478322601349322218567214066249095498194794455962105207136391315935094111118089218083589204804668015819552143695256452446823225563668643012179559869585514021237749683<215>

57703574919726503992146639333371835543711323742216394836260926435583981685903716021781689879653361291668718925757274453883263855894142492155037427363930560071393861397621655756629539543909372599<194>

33485004441241218722041419360361116971<38>

1723266156974341251574572570561281570613636525556991158084528303241929934374030340392004391344965372404476096181039627878679689848818297372080504900792789669<157>

Input number is 57703574919726503992146639333371835543711323742216394836260926435583981685903716021781689879653361291668718925757274453883263855894142492155037427363930560071393861397621655756629539543909372599 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3475945585
Step 1 took 16207ms
Step 2 took 10292ms
********** Factor found in step 2: 33485004441241218722041419360361116971
Found probable prime factor of 38 digits: 33485004441241218722041419360361116971
Composite cofactor 1723266156974341251574572570561281570613636525556991158084528303241929934374030340392004391344965372404476096181039627878679689848818297372080504900792789669 has 157 digits

1723266156974341251574572570561281570613636525556991158084528303241929934374030340392004391344965372404476096181039627878679689848818297372080504900792789669<157>

1887813957075300289708380128403303703<37>
2779405363426824886373092272692190971<37>
328428831520843381154895715380616301432622045949943100679490590864384479124535745913<84>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2500969944
Step 1 took 40802ms
Step 2 took 20346ms
********** Factor found in step 2: 1887813957075300289708380128403303703
Found probable prime factor of 37 digits: 1887813957075300289708380128403303703

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3711220319
Step 1 took 40810ms
Step 2 took 20350ms
********** Factor found in step 2: 2779405363426824886373092272692190971
Found probable prime factor of 37 digits: 2779405363426824886373092272692190971

6943765980643419077038792112465122331449975686403418777068101748669418203374156427910134058429152096041727034032160885391267672665594410323935709892790336388659802476244161421172250739111810394637135107701629431068783765364037<226>

1677165424486980829669528780891394646519399301840102684706569812630722510543309090155884680637791562177601515054482053832213396267725373008082606998360266976446171715684452194932313843811783241739010989741415446537<214>

65915621041620283305436252779007<32>

25444126869835437959198092410362736623752066012595232415185242445899750414010159016058909636468115317923172108981237983214149000105177481456516186103066908236274686228081233489036791<182>

Input number is 1677165424486980829669528780891394646519399301840102684706569812630722510543309090155884680637791562177601515054482053832213396267725373008082606998360266976446171715684452194932313843811783241739010989741415446537 (214 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1725497875
Step 1 took 18228ms
Step 2 took 11306ms
********** Factor found in step 2: 65915621041620283305436252779007
Found probable prime factor of 32 digits: 65915621041620283305436252779007
Composite cofactor 25444126869835437959198092410362736623752066012595232415185242445899750414010159016058909636468115317923172108981237983214149000105177481456516186103066908236274686228081233489036791 has 182 digits

149189994328235714950769751920661504799966904446478278228374861177966342766836104901324799318975105988646680086878704722093893807417973190200685461925117287970250231057912019501<177>

611727455797749147949220546753615802660089490551931259073185161134532465081961477707911834646561595765934864984601365348169473717248883957505485354254800629658149607888018454615908764827949702994874096343<204>

709051907400807597828431741731604120076480474794839610622156430589355826643369846733911496939014082474156714137668720790724288364721692392368394579747423147820929838546909354837749317957<186>

37655337166824383427646882284179458686419510917831619561890584337263347264565316082039489483673841922242889416806769033136608252784638760182543879555582126559635087707653671057511335961898477403<194>

5080375806176148339070385647852510473806140839998580654727988758676659144886599622423771205450810486714654588397321880903047797508980086623464246368890246595091254850986171890911519516988546723185053919299901452232922097043689887<229>

61756157961295261784036108359345019104646018162881585901850454719622266868186013655201827462735641343234894266070887166557327637569783027668569581112652277883824761325916394896362137301211186575427717599102103933<212>

256438087907558175926105109728390548633936974441963457278523448501132502294239955613944198245130163270485322522358530434012634348857918689174194103459693381383833834466127608390231874882840071306961<198>

217016621889419693407419759509755037<36>

1181651827749054159198360087488551691727501176484035934709547709539220916651107501301806337165743419905805165509177504180238962061201315478068935150406396154170053<163>

Input number is 256438087907558175926105109728390548633936974441963457278523448501132502294239955613944198245130163270485322522358530434012634348857918689174194103459693381383833834466127608390231874882840071306961 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1899126516
Step 1 took 15983ms
Step 2 took 10222ms
********** Factor found in step 2: 217016621889419693407419759509755037
Found probable prime factor of 36 digits: 217016621889419693407419759509755037
Composite cofactor 1181651827749054159198360087488551691727501176484035934709547709539220916651107501301806337165743419905805165509177504180238962061201315478068935150406396154170053 has 163 digits

1181651827749054159198360087488551691727501176484035934709547709539220916651107501301806337165743419905805165509177504180238962061201315478068935150406396154170053<163>

1270536980051633580157833394572280076631467358731<49>
2431684492587587273804400373322062839001813867510261<52>
382467903961583633966073080168163799768154433689004027668774483<63>

#
# N = 10^245+59 = 3(243)53
#
# N = 5952367111<10> × 42751872602417989<17> × 510800559897012197587<21> × 217016621889419693407419759509755037<36> ×
# [1181651827749054159198360087488551691727501176484035934709547709539220916651107501301806337165743419905805165509177504180238962061201315478068935150406396154170053<163>]
# (Serge Batalov / GMP-ECM B1=3000000, sigma=1899126516 for P36 / December 21, 2014 )
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
#
# Input number is 1181651827749054159198360087488551691727501176484035934709547709539220916651107501301806337165743419905805165509177504180238962061201315478068935150406396154170053 (163 digits)
# Using B1=63610000, B2=388133141770, polynomial Dickson(30), sigma=1:548191554
# Step 1 took 160005ms
# Step 2 took 52511ms
# ********** Factor found in step 2: 1270536980051633580157833394572280076631467358731
# Found prime factor of 49 digits: 1270536980051633580157833394572280076631467358731
# Composite cofactor 930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063 has 114 digits
#

CADO:


STA:Fri 27 Oct 2023 11:09:03 AEDT (930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063 - C114)

cado-nfs.py -t 16 --no-colors 930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063 2>&1 | tee -a log-14

Info:root: Using default parameter file ./parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.fjtkf6mr
Info:Database: Opened connection to database /tmp/cado.fjtkf6mr/c115.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.fjtkf6mr/c115.parameters_snapshot.0
Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,LINUX-7
Info:Lattice Sieving: param rels_wanted is 0
Info:Complete Factorization / Discrete logarithm: Factoring 930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063
===
n: 930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063
skew: 37647.624
c0: 1154522418948720766984281134
c1: 15386101810164681468977
c2: -3602055909916322900
c3: 15596459352865
c4: 891412980
c5: 14400
Y0: -11847165813945810205695
Y1: 20103008456122993
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.109e-06
# f(x) = 14400*x^5+891412980*x^4+15596459352865*x^3-3602055909916322900*x^2+15386101810164681468977*x+1154522418948720766984281134
# g(x) = 20103008456122993*x-11847165813945810205695
===
Info:Square Root: Factors: 382467903961583633966073080168163799768154433689004027668774483 2431684492587587273804400373322062839001813867510261
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 686.92/52.3013
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 16.85/3.75551
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6989717
Info:Lattice Sieving: Average J: 1903.13 for 135340 special-q, max bucket fill -bkmult 1.0,1s:1.279100
Info:Lattice Sieving: Total time: 16562.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.79/72.0983
Info:Generate Free Relations: Total cpu/real time for freerel: 74.35/6.10212
Info:Filtering - Merging: Total cpu/real time for merge: 128.67/11.7207
Info:Filtering - Merging: Total cpu/real time for replay: 13.31/10.2691
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 143.02/119.465
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.4s
Info:Linear Algebra: Total cpu/real time for bwc: 3899.98/298.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2484.68, WCT time 171.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 25.19, WCT time 26.15
Info:Linear Algebra: Mksol: CPU time 1335.02,  WCT time 91.73, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 258.8
Info:Polynomial Selection (root optimized): Rootsieve time: 258.03
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 23148
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15772/33.660/40.641/45.370/1.094
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 12074/32.080/35.906/41.060/0.788
Info:Polynomial Selection (size optimized): Total time: 1698.71
Info:Square Root: Total cpu/real time for sqrt: 686.92/52.3013
Info:Generate Factor Base: Total cpu/real time for makefb: 6.66/0.716048
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 35.73/32.9377
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.199999999999996s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 38124.5/2753.23
Info:root: Cleaning up computation data in /tmp/cado.fjtkf6mr
382467903961583633966073080168163799768154433689004027668774483 2431684492587587273804400373322062839001813867510261

END:Fri 27 Oct 2023 11:55:01 AEDT (930041270975861559482774512157556471516681453613975071045645966142595149004218745423192642802977598127452297470063 - C114)

6989326761874023714826696412057247614138880131071163392473795649813804037049670406416952581474289832378522161355998385926440878515519926376095754660909826849089655518801204422179672894835443123851607647142403339<211>

4800969629924383499564910261399553<34>

1455815658218214431858375341947011454371238733353553350568864777159648721390835700724656699078367036474396927127517388091781961922975339000025831506071160098947695238009751735563<178>

Input number is 6989326761874023714826696412057247614138880131071163392473795649813804037049670406416952581474289832378522161355998385926440878515519926376095754660909826849089655518801204422179672894835443123851607647142403339 (211 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=126174159
Step 1 took 16120ms
Step 2 took 10761ms
********** Factor found in step 2: 4800969629924383499564910261399553
Found probable prime factor of 34 digits: 4800969629924383499564910261399553
Composite cofactor 1455815658218214431858375341947011454371238733353553350568864777159648721390835700724656699078367036474396927127517388091781961922975339000025831506071160098947695238009751735563 has 178 digits

820489672458892959159738204684115520083184200931354873685114610453160479674685279936785324310475782930202178792826943131797772924127282677983229162729135369600419345617619414071194777721135548623261835295292110130875961660807547052539<234>

133625157291977091940036716114780641<36>
6140233539004077103599943853776484568087185879840060293461855203548875569868943016109516756019959528266184673103391929034878348914109728523077314791776604750690154650142914310324604446975138329605979<199>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2611403565
Step 1 took 21135ms
Step 2 took 12477ms
********** Factor found in step 2: 133625157291977091940036716114780641
Found probable prime factor of 36 digits: 133625157291977091940036716114780641
Probable prime cofactor

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