4386800257339265571199285250527432245987346642377889940905440634181278349895045122702690759<91>

275211394124960265212782044900640703<36>
15939747957337225794603273784899858020247830193184194553<56>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4386800257339265571199285250527432245987346642377889940905440634181278349895045122702690759 (91 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3447484428
Step 1 took 2948ms
Step 2 took 3432ms
********** Factor found in step 2: 275211394124960265212782044900640703
Found probable prime factor of 36 digits: 275211394124960265212782044900640703
Probable prime cofactor 15939747957337225794603273784899858020247830193184194553 has 56 digits

Core 2 Quad Q6600

3416449951557799194329712916220488501351282443526592218652796899699148437101626638111264086482076385701901993779<112>

13079519603592591828724136575259833<35>
261206072937066617575379951763202353709110249235984400041972053868280867577163<78>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3416449951557799194329712916220488501351282443526592218652796899699148437101626638111264086482076385701901993779 (112 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2024510530
Step 1 took 3463ms
Step 2 took 3791ms
********** Factor found in step 2: 13079519603592591828724136575259833
Found probable prime factor of 35 digits: 13079519603592591828724136575259833
Probable prime cofactor 261206072937066617575379951763202353709110249235984400041972053868280867577163 has 78 digits

Core 2 Quad Q6600

96074614955509853374734392658394094992047014932306016222428043900796653215149734058090779771<92>

13606100517264678251735534718702197189<38>
7061142524531661338165749232263043327688308648736184639<55>

Wed Nov 04 03:16:06 2009  
Wed Nov 04 03:16:06 2009  
Wed Nov 04 03:16:06 2009  Msieve v. 1.43
Wed Nov 04 03:16:06 2009  random seeds: 60f2ff78 55277435
Wed Nov 04 03:16:06 2009  factoring 96074614955509853374734392658394094992047014932306016222428043900796653215149734058090779771 (92 digits)
Wed Nov 04 03:16:07 2009  searching for 15-digit factors
Wed Nov 04 03:16:07 2009  commencing quadratic sieve (92-digit input)
Wed Nov 04 03:16:08 2009  using multiplier of 29
Wed Nov 04 03:16:08 2009  using 64kb Opteron sieve core
Wed Nov 04 03:16:08 2009  sieve interval: 18 blocks of size 65536
Wed Nov 04 03:16:08 2009  processing polynomials in batches of 6
Wed Nov 04 03:16:08 2009  using a sieve bound of 1847539 (69412 primes)
Wed Nov 04 03:16:08 2009  using large prime bound of 208771907 (27 bits)
Wed Nov 04 03:16:08 2009  using double large prime bound of 944951756339680 (42-50 bits)
Wed Nov 04 03:16:08 2009  using trial factoring cutoff of 50 bits
Wed Nov 04 03:16:08 2009  polynomial 'A' values have 12 factors
Wed Nov 04 03:16:08 2009  restarting with 2240 full and 114056 partial relations
Wed Nov 04 04:40:28 2009  69576 relations (17880 full + 51696 combined from 889191 partial), need 69508
Wed Nov 04 04:40:29 2009  begin with 907071 relations
Wed Nov 04 04:40:29 2009  reduce to 175853 relations in 12 passes
Wed Nov 04 04:40:29 2009  attempting to read 175853 relations
Wed Nov 04 04:40:31 2009  recovered 175853 relations
Wed Nov 04 04:40:31 2009  recovered 157201 polynomials
Wed Nov 04 04:40:31 2009  attempting to build 69576 cycles
Wed Nov 04 04:40:31 2009  found 69576 cycles in 5 passes
Wed Nov 04 04:40:31 2009  distribution of cycle lengths:
Wed Nov 04 04:40:31 2009     length 1 : 17880
Wed Nov 04 04:40:31 2009     length 2 : 12677
Wed Nov 04 04:40:31 2009     length 3 : 12033
Wed Nov 04 04:40:31 2009     length 4 : 9369
Wed Nov 04 04:40:31 2009     length 5 : 6758
Wed Nov 04 04:40:31 2009     length 6 : 4430
Wed Nov 04 04:40:31 2009     length 7 : 2778
Wed Nov 04 04:40:31 2009     length 9+: 3651
Wed Nov 04 04:40:31 2009  largest cycle: 19 relations
Wed Nov 04 04:40:32 2009  matrix is 69412 x 69576 (17.7 MB) with weight 4370660 (62.82/col)
Wed Nov 04 04:40:32 2009  sparse part has weight 4370660 (62.82/col)
Wed Nov 04 04:40:33 2009  filtering completed in 3 passes
Wed Nov 04 04:40:33 2009  matrix is 65447 x 65511 (16.8 MB) with weight 4148934 (63.33/col)
Wed Nov 04 04:40:33 2009  sparse part has weight 4148934 (63.33/col)
Wed Nov 04 04:40:33 2009  saving the first 48 matrix rows for later
Wed Nov 04 04:40:33 2009  matrix is 65399 x 65511 (10.2 MB) with weight 3230916 (49.32/col)
Wed Nov 04 04:40:33 2009  sparse part has weight 2284762 (34.88/col)
Wed Nov 04 04:40:33 2009  matrix includes 64 packed rows
Wed Nov 04 04:40:33 2009  using block size 26204 for processor cache size 1024 kB
Wed Nov 04 04:40:33 2009  commencing Lanczos iteration
Wed Nov 04 04:40:33 2009  memory use: 10.5 MB
Wed Nov 04 04:40:42 2009  linear algebra at 36.8%, ETA 0h 0m
Wed Nov 04 04:40:58 2009  lanczos halted after 1036 iterations (dim = 65397)
Wed Nov 04 04:40:58 2009  recovered 17 nontrivial dependencies
Wed Nov 04 04:40:59 2009  prp38 factor: 13606100517264678251735534718702197189
Wed Nov 04 04:40:59 2009  prp55 factor: 7061142524531661338165749232263043327688308648736184639
Wed Nov 04 04:40:59 2009  elapsed time 01:24:53

305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989<99>

479267594069721891682480549097268372227422319287<48>
637903656034309727455345127696823887454307086504547<51>

Number: 74441_118
N=305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989
  ( 99 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=479267594069721891682480549097268372227422319287 (pp48)
 r2=637903656034309727455345127696823887454307086504547 (pp51)
Version: Msieve-1.40
Total time: 1.99 hours.
Scaled time: 2.01 units (timescale=1.010).
Factorization parameters were as follows:
n: 305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989
m: 500000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95723 x 95968
Total sieving time: 1.93 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,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.99 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

9823634061308601992262375977557460526603204910482843794627402711296077541420800355402220532262483291<100>

248173394390078679300038958119545859112216157363<48>
39583751858057050006460477944893403895270269829507257<53>

SNFS difficulty: 121 digits.
Divisors found:
 r1=248173394390078679300038958119545859112216157363 (pp48)
 r2=39583751858057050006460477944893403895270269829507257 (pp53)
Version: Msieve v. 1.44 SVN130
Total time: 0.86 hours.
Scaled time: 2.06 units (timescale=2.400).
Factorization parameters were as follows:
n: 9823634061308601992262375977557460526603204910482843794627402711296077541420800355402220532262483291
m: 1000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 80715 x 80940
Total sieving time: 0.79 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 0.86 hours.

1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479<109>

323849544307374500128746883591241254838333<42>
5327271893239009943943442287524260619878365564348217121263894689563<67>

Number: 74441_131
N=1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479
  ( 109 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=323849544307374500128746883591241254838333 (pp42)
 r2=5327271893239009943943442287524260619878365564348217121263894689563 (pp67)
Version: Msieve-1.40
Total time: 4.53 hours.
Scaled time: 9.44 units (timescale=2.085).
Factorization parameters were as follows:
name: 74441_131
n: 1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479
m: 200000000000000000000000000
deg: 5
c5: 335
c0: -496
skew: 1.08
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, 1200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166901 x 167149
Total sieving time: 4.35 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 4.53 hours.
 --------- CPU info (if available) ----------

46765551638031908225910312923474405199786280869339065071698203645956926057134044970216126092746638328533578261081259419<119>

8625640909763231199919977502862827<34>
119417958244208526547468954975940805596503<42>
45400961013383699554747369470928758093181399<44>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 46765551638031908225910312923474405199786280869339065071698203645956926057134044970216126092746638328533578261081259419 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2597803104
Step 1 took 4212ms
Step 2 took 4119ms
********** Factor found in step 2: 8625640909763231199919977502862827
Found probable prime factor of 34 digits: 8625640909763231199919977502862827
Composite cofactor 5421690066543193864230956289682168517981529320315248970797035445413782539943179047697 has 85 digits

11/03/09 22:52:19 v1.10 @ 조영욱-PC, starting SIQS on c85: 5421690066543193864230956289682168517981529320315248970797035445413782539943179047697
11/03/09 22:52:19 v1.10 @ 조영욱-PC, random seeds: 2623786136, 2605774612
11/03/09 22:52:19 v1.10 @ 조영욱-PC, ==== sieve params ====
11/03/09 22:52:19 v1.10 @ 조영욱-PC, n = 85 digits, 282 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, factor base: 55732 primes (max prime = 1463621)
11/03/09 22:52:19 v1.10 @ 조영욱-PC, single large prime cutoff: 160998310 (110 * pmax)
11/03/09 22:52:19 v1.10 @ 조영욱-PC, double large prime range from 42 to 50 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, double large prime cutoff: 591940930810882
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
11/03/09 22:52:19 v1.10 @ 조영욱-PC, buckets hold 1024 elements
11/03/09 22:52:19 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
11/03/09 22:52:19 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using multiplier of 1
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
11/03/09 22:52:19 v1.10 @ 조영욱-PC, trial factoring cutoff at 94 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, ==== sieving started ====
11/03/09 23:12:08 v1.10 @ 조영욱-PC, sieve time = 528.9270, relation time = 286.5150, poly_time = 373.1850
11/03/09 23:12:08 v1.10 @ 조영욱-PC, 55814 relations found: 18396 full + 37418 from 517693 partial, using 211761 polys (207 A polys)
11/03/09 23:12:08 v1.10 @ 조영욱-PC, on average, sieving found 2.53 rels/poly and 450.81 rels/sec
11/03/09 23:12:08 v1.10 @ 조영욱-PC, trial division touched 10174530 sieve locations out of 249803440128
11/03/09 23:12:08 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
11/03/09 23:12:08 v1.10 @ 조영욱-PC, begin with 536089 relations
11/03/09 23:12:08 v1.10 @ 조영욱-PC, reduce to 114934 relations in 9 passes
11/03/09 23:12:09 v1.10 @ 조영욱-PC, recovered 114934 relations
11/03/09 23:12:09 v1.10 @ 조영욱-PC, recovered 88632 polynomials
11/03/09 23:12:09 v1.10 @ 조영욱-PC, attempting to build 55814 cycles
11/03/09 23:12:09 v1.10 @ 조영욱-PC, found 55814 cycles in 4 passes
11/03/09 23:12:09 v1.10 @ 조영욱-PC, distribution of cycle lengths:
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 1 : 18396
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 2 : 15365
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 3 : 10307
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 4 : 5958
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 5 : 3118
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 6 : 1481
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 7 : 700
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 9+: 489
11/03/09 23:12:09 v1.10 @ 조영욱-PC, largest cycle: 15 relations
11/03/09 23:12:09 v1.10 @ 조영욱-PC, matrix is 55732 x 55814 (11.6 MB) with weight 2587778 (46.36/col)
11/03/09 23:12:09 v1.10 @ 조영욱-PC, sparse part has weight 2587778 (46.36/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, filtering completed in 3 passes
11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix is 49309 x 49373 (10.4 MB) with weight 2337344 (47.34/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, sparse part has weight 2337344 (47.34/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix is 49261 x 49373 (7.0 MB) with weight 1814592 (36.75/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, sparse part has weight 1344877 (27.24/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
11/03/09 23:12:10 v1.10 @ 조영욱-PC, using block size 19749 for processor cache size 4096 kB
11/03/09 23:12:10 v1.10 @ 조영욱-PC, commencing Lanczos iteration
11/03/09 23:12:10 v1.10 @ 조영욱-PC, memory use: 6.5 MB
11/03/09 23:12:19 v1.10 @ 조영욱-PC, lanczos halted after 781 iterations (dim = 49258)
11/03/09 23:12:19 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
11/03/09 23:12:19 v1.10 @ 조영욱-PC, prp44 = 45400961013383699554747369470928758093181399
11/03/09 23:12:20 v1.10 @ 조영욱-PC, prp42 = 119417958244208526547468954975940805596503
11/03/09 23:12:20 v1.10 @ 조영욱-PC, Lanczos elapsed time = 11.0290 seconds.
11/03/09 23:12:20 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.5610 seconds.
11/03/09 23:12:20 v1.10 @ 조영욱-PC, SIQS elapsed time = 1200.7470 seconds.
11/03/09 23:12:20 v1.10 @ 조영욱-PC, 
11/03/09 23:12:20 v1.10 @ 조영욱-PC, 

GMP-ECM v6.2.3 / YAFU v1.10

Core 2 Quad Q6600

889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303<99>

4810783287458379447319665714720974617182731<43>
184980237899848999666716380766074086221876478826386870813<57>

Number: 74441_136
N=889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303
  ( 99 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=4810783287458379447319665714720974617182731 (pp43)
 r2=184980237899848999666716380766074086221876478826386870813 (pp57)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.69 hours.
Scaled time: 18.94 units (timescale=1.956).
Factorization parameters were as follows:
name: 74441_136
n: 889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303
m: 2000000000000000000000000000
deg: 5
c5: 335
c0: -496
skew: 1.08
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1550001)
Primes: RFBsize:110630, AFBsize:110790, largePrimes:3539552 encountered
Relations: rels:3573888, finalFF:316292
Max relations in full relation-set: 28
Initial matrix: 221487 x 316292 with sparse part having weight 29442668.
Pruned matrix : 194165 x 195336 with weight 14866622.
Total sieving time: 9.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 9.69 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243<123>

2155169564333464472349918628266493657340772283669081<52>
419340596308113045083191970050775890985316605601219929324602580966516003<72>

Number: 123-1
N=903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2155169564333464472349918628266493657340772283669081 (pp52)
 r2=419340596308113045083191970050775890985316605601219929324602580966516003 (pp72)
Version: Msieve-1.40
Total time: 6.21 hours.
Scaled time: 12.23 units (timescale=1.969).
Factorization parameters were as follows:
n: 903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243
m: 5000000000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264792 x 265017
Total sieving time: 5.97 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 6.21 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217<118>

34655482245468834228541408388489501901665410519<47>
197686862953873716181311104410965221646157892429803380406605260036919143<72>

Number: 74441_144
N=6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217
  ( 118 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=34655482245468834228541408388489501901665410519
 r2=197686862953873716181311104410965221646157892429803380406605260036919143
Version: 
Total time: 7.05 hours.
Scaled time: 16.85 units (timescale=2.389).
Factorization parameters were as follows:
n: 6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: -310
skew: 1.36
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1275000, 2775001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4934852
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 407050 x 407298
Total sieving time: 6.06 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2550000,2550000,26,26,49,49,2.3,2.3,75000
total time: 7.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793<117>

9260894445086141962651210313544909342955325247050444087<55>
35203649447637528618873300517503888994181400098044701486542239<62>

Number: 74441_145
N=326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793
  ( 117 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9260894445086141962651210313544909342955325247050444087
 r2=35203649447637528618873300517503888994181400098044701486542239
Version: 
Total time: 6.29 hours.
Scaled time: 15.05 units (timescale=2.391).
Factorization parameters were as follows:
n: 326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
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, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4800623
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307282 x 307530
Total sieving time: 5.82 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,75000
total time: 6.29 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069<138>

3543243945117669927050599146096106098149924350703<49>
245917899090014024113532245535836223215750238360235398952104060053448988922276779413690323<90>

Number: 74441_147
N=871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069
  ( 138 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3543243945117669927050599146096106098149924350703
 r2=245917899090014024113532245535836223215750238360235398952104060053448988922276779413690323
Version: 
Total time: 8.99 hours.
Scaled time: 21.45 units (timescale=2.385).
Factorization parameters were as follows:
n: 871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069
m: 100000000000000000000000000000
deg: 5
c5: 6700
c0: -31
skew: 0.34
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1650000, 3375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7066652
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456862 x 457110
Total sieving time: 7.75 hours.
Total relation processing time: 0.74 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,49,49,2.3,2.3,75000
total time: 8.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513<136>

20881086487350036134625000283626100896654287<44>
53364319064384742665900100125286466593148958555660756921564191235935418790516441550676542399<92>

Number: 74441_149
N=1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=20881086487350036134625000283626100896654287
 r2=53364319064384742665900100125286466593148958555660756921564191235935418790516441550676542399
Version: 
Total time: 10.05 hours.
Scaled time: 23.97 units (timescale=2.386).
Factorization parameters were as follows:
n: 1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513
m: 1000000000000000000000000000000
deg: 5
c5: 67
c0: -310
skew: 1.36
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7412479
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 371929 x 372177
Total sieving time: 9.35 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 10.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

537103120139339161837271430024183269497567761442391196882272189956546662230998950851183593673<93>

52149321682005352760460016522007528725573<41>
10299330898577574176970919887050802682776591407979701<53>

Wed Nov 04 11:38:20 2009  Msieve v. 1.42
Wed Nov 04 11:38:20 2009  random seeds: 089ec948 20f939fa
Wed Nov 04 11:38:20 2009  factoring 537103120139339161837271430024183269497567761442391196882272189956546662230998950851183593673 (93 digits)
Wed Nov 04 11:38:21 2009  searching for 15-digit factors
Wed Nov 04 11:38:21 2009  commencing quadratic sieve (93-digit input)
Wed Nov 04 11:38:21 2009  using multiplier of 5
Wed Nov 04 11:38:21 2009  using 32kb Intel Core sieve core
Wed Nov 04 11:38:21 2009  sieve interval: 36 blocks of size 32768
Wed Nov 04 11:38:21 2009  processing polynomials in batches of 6
Wed Nov 04 11:38:21 2009  using a sieve bound of 1954487 (72941 primes)
Wed Nov 04 11:38:21 2009  using large prime bound of 244310875 (27 bits)
Wed Nov 04 11:38:21 2009  using double large prime bound of 1253998370578250 (42-51 bits)
Wed Nov 04 11:38:21 2009  using trial factoring cutoff of 51 bits
Wed Nov 04 11:38:21 2009  polynomial 'A' values have 12 factors
Wed Nov 04 14:26:40 2009  73249 relations (18003 full + 55246 combined from 1003555 partial), need 73037
Wed Nov 04 14:26:42 2009  begin with 1021558 relations
Wed Nov 04 14:26:43 2009  reduce to 190009 relations in 11 passes
Wed Nov 04 14:26:43 2009  attempting to read 190009 relations
Wed Nov 04 14:26:45 2009  recovered 190009 relations
Wed Nov 04 14:26:45 2009  recovered 173099 polynomials
Wed Nov 04 14:26:46 2009  attempting to build 73249 cycles
Wed Nov 04 14:26:46 2009  found 73249 cycles in 6 passes
Wed Nov 04 14:26:46 2009  distribution of cycle lengths:
Wed Nov 04 14:26:46 2009     length 1 : 18003
Wed Nov 04 14:26:46 2009     length 2 : 12924
Wed Nov 04 14:26:46 2009     length 3 : 12314
Wed Nov 04 14:26:46 2009     length 4 : 9925
Wed Nov 04 14:26:46 2009     length 5 : 7590
Wed Nov 04 14:26:46 2009     length 6 : 5002
Wed Nov 04 14:26:46 2009     length 7 : 3092
Wed Nov 04 14:26:46 2009     length 9+: 4399
Wed Nov 04 14:26:46 2009  largest cycle: 22 relations
Wed Nov 04 14:26:46 2009  matrix is 72941 x 73249 (18.7 MB) with weight 4614755 (63.00/col)
Wed Nov 04 14:26:46 2009  sparse part has weight 4614755 (63.00/col)
Wed Nov 04 14:26:47 2009  filtering completed in 3 passes
Wed Nov 04 14:26:47 2009  matrix is 69394 x 69458 (17.8 MB) with weight 4391238 (63.22/col)
Wed Nov 04 14:26:47 2009  sparse part has weight 4391238 (63.22/col)
Wed Nov 04 14:26:47 2009  saving the first 48 matrix rows for later
Wed Nov 04 14:26:47 2009  matrix is 69346 x 69458 (10.7 MB) with weight 3426212 (49.33/col)
Wed Nov 04 14:26:47 2009  sparse part has weight 2392857 (34.45/col)
Wed Nov 04 14:26:47 2009  matrix includes 64 packed rows
Wed Nov 04 14:26:47 2009  using block size 27783 for processor cache size 1024 kB
Wed Nov 04 14:26:48 2009  commencing Lanczos iteration
Wed Nov 04 14:26:48 2009  memory use: 11.2 MB
Wed Nov 04 14:27:19 2009  lanczos halted after 1098 iterations (dim = 69346)
Wed Nov 04 14:27:19 2009  recovered 18 nontrivial dependencies
Wed Nov 04 14:27:19 2009  prp41 factor: 52149321682005352760460016522007528725573
Wed Nov 04 14:27:19 2009  prp53 factor: 10299330898577574176970919887050802682776591407979701
Wed Nov 04 14:27:19 2009  elapsed time 02:48:59

9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249<115>

8228829892112628636884835633777315487804386047416617137<55>
1212517479021868655624024510948004899355487100786836051889177<61>

Number: 74441_151
N=9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249
  ( 115 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=8228829892112628636884835633777315487804386047416617137
 r2=1212517479021868655624024510948004899355487100786836051889177
Version: 
Total time: 9.71 hours.
Scaled time: 23.17 units (timescale=2.387).
Factorization parameters were as follows:
n: 9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249
m: 1000000000000000000000000000000
deg: 5
c5: 670
c0: -31
skew: 0.54
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, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7894010
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 428637 x 428885
Total sieving time: 8.86 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 9.71 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123<121>

6384161033655476762880992360445318917<37>
801762046385247037048308402141985803146797607769907046767693665075239890836475568119<84>

Number: 74441_153
N=5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123
  ( 121 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=6384161033655476762880992360445318917 (pp37)
 r2=801762046385247037048308402141985803146797607769907046767693665075239890836475568119 (pp84)
Version: Msieve-1.40
Total time: 26.48 hours.
Scaled time: 26.27 units (timescale=0.992).
Factorization parameters were as follows:
n: 5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123
m: 5000000000000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 517516 x 517745
Total sieving time: 25.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 26.48 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761<148>

19770670872949815347485142394152319553<38>
70311137559137507052774831616250832259377569867<47>
1047541994464449155489159844448139419478733450739365527434608811<64>

Number: n
N=1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761
  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sat Nov 14 18:58:09 2009  prp38 factor: 19770670872949815347485142394152319553
Sat Nov 14 18:58:09 2009  prp47 factor: 70311137559137507052774831616250832259377569867
Sat Nov 14 18:58:09 2009  prp64 factor: 1047541994464449155489159844448139419478733450739365527434608811
Sat Nov 14 18:58:09 2009  elapsed time 00:55:11 (Msieve 1.43 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.59 hours.
Scaled time: 39.25 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_7_4_153_1
n: 1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761
m: 10000000000000000000000000000000
deg: 5
c5: 67
c0: -310
skew: 1.36
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [1450000, 2750249)
Primes: RFBsize:210109, AFBsize:210215, largePrimes:7718909 encountered
Relations: rels:7439444, finalFF:438767
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 935880 hash collisions in 8065056 relations
Msieve: matrix is 535005 x 535232 (143.1 MB)

Total sieving time: 21.47 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 21.59 hours.
 --------- CPU info (if available) ----------

375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467<126>

80153664603958430270698294749615024437<38>
53243536433576582261971256661042578792061799<44>
88004479143123417579377741641004702435368009<44>

Number: 74441_156
N=375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=80153664603958430270698294749615024437
 r2=53243536433576582261971256661042578792061799
 r3=88004479143123417579377741641004702435368009
Version: 
Total time: 14.44 hours.
Scaled time: 34.20 units (timescale=2.368).
Factorization parameters were as follows:
n: 375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467
m: 10000000000000000000000000000000
deg: 5
c5: 670
c0: -31
skew: 0.54
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8551031
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 530012 x 530260
Total sieving time: 13.13 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 14.44 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899<101>

93224551460111137035240108268625574954487489831903<50>
317654677042421270612800208132930793843765449092733<51>

Number: 74441_158
N=29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899
  ( 101 digits)
Divisors found:
 r1=93224551460111137035240108268625574954487489831903 (pp50)
 r2=317654677042421270612800208132930793843765449092733 (pp51)
Version: Msieve-1.40
Total time: 5.22 hours.
Scaled time: 17.25 units (timescale=3.305).
Factorization parameters were as follows:
name: 74441_158
n: 29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899
skew: 2475.53
# norm 7.83e+13
c5: 286800
c4: -2941514404
c3: 3174525952836
c2: 18842763152668317
c1: 16056592382406591394
c0: 4443972655071256500177
# alpha -4.91
Y1: 60202425107
Y0: -10064370379691956090
# Murphy_E 3.01e-09
# M 5135300505416392765969601109169315018788510709089396459401407529503863629792793102008601301469075470
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214611 x 214859
Polynomial selection time: 0.55 hours.
Total sieving time: 4.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.22 hours.
 --------- CPU info (if available) ----------

8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503<121>

5184273162643458694917399313243984064834873060204015700713<58>
1612213304015942235676505728696547693838364040958693307596122831<64>

Number: 74441_160
N=8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503
  ( 121 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=5184273162643458694917399313243984064834873060204015700713
 r2=1612213304015942235676505728696547693838364040958693307596122831
Version: 
Total time: 17.49 hours.
Scaled time: 41.84 units (timescale=2.392).
Factorization parameters were as follows:
n: 8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503
m: 100000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9409654
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652517 x 652764
Total sieving time: 15.59 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 17.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

10468301293755797423881824808300936684163049041001719203135482913387586546663127409790577743604090731829830211783508368815067239088721<134>

2379704242579980728400961963262974523<37>
80520601705670054813859962771453621977<38>
54631889004741725520371953058841143590754460348049791924251<59>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 10468301293755797423881824808300936684163049041001719203135482913387586546663127409790577743604090731829830211783508368815067239088721 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4672242577
Step 1 took 3327ms
Step 2 took 2201ms
********** Factor found in step 2: 80520601705670054813859962771453621977
Found probable prime factor of 38 digits: 80520601705670054813859962771453621977
Composite cofactor 130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273 has 96 digits

Number: 74441_163
N=130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273
  ( 96 digits)
Divisors found:
 r1=2379704242579980728400961963262974523
 r2=54631889004741725520371953058841143590754460348049791924251
Version: 
Total time: 1.50 hours.
Scaled time: 3.46 units (timescale=2.313).
Factorization parameters were as follows:
name: 74441_163
n: 130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273
skew: 1979.38
# norm 1.96e+13
c5: 273300
c4: 304405751
c3: 365710080704
c2: -4895444318937764
c1: -4512394773361583236
c0: 13984228209751842845
# alpha -6.07
Y1: 14191866557
Y0: -861914766383702208
# Murphy_E 6.01e-09
# M 46998393681213226899223521402912408001520722578974367414646002933959646617795624266321907021062
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3482298
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128893 x 129141
Polynomial selection time: 0.10 hours.
Total sieving time: 1.21 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 1.50 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GMP-ECM v6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281<164>

36877280473198598114033606344601705893521134287453029239<56>
1483253158041523948079442997084179518478110622805970858351989516224667268559875468140693529675012634339151679<109>

N=54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281
  ( 164 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=36877280473198598114033606344601705893521134287453029239 (pp56)
 r2=1483253158041523948079442997084179518478110622805970858351989516224667268559875468140693529675012634339151679 (pp109)
Version: Msieve-1.40
Total time: 71.53 hours.
Scaled time: 66.81 units (timescale=0.934).
Factorization parameters were as follows:
n: 54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281
m: 2000000000000000000000000000000000
deg: 5
c5: 335
c0: -496
skew: 1.08
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 881679 x 881908
Total sieving time: 69.81 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.42 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 71.53 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

3502425090514369839464801792831352863378564620939980353829959014019250494360162188995524651143<94>

84574198791351340668356637482340533647<38>
41412453686437193224539957363738958943723854038718898569<56>

Wed Nov 04 14:47:54 2009  Msieve v. 1.42
Wed Nov 04 14:47:54 2009  random seeds: b7fa92a0 b09111fb
Wed Nov 04 14:47:54 2009  factoring 3502425090514369839464801792831352863378564620939980353829959014019250494360162188995524651143 (94 digits)
Wed Nov 04 14:47:55 2009  searching for 15-digit factors
Wed Nov 04 14:47:55 2009  commencing quadratic sieve (94-digit input)
Wed Nov 04 14:47:55 2009  using multiplier of 7
Wed Nov 04 14:47:55 2009  using 32kb Intel Core sieve core
Wed Nov 04 14:47:55 2009  sieve interval: 36 blocks of size 32768
Wed Nov 04 14:47:55 2009  processing polynomials in batches of 6
Wed Nov 04 14:47:55 2009  using a sieve bound of 2025253 (75248 primes)
Wed Nov 04 14:47:55 2009  using large prime bound of 271383902 (28 bits)
Wed Nov 04 14:47:55 2009  using double large prime bound of 1515134967946490 (42-51 bits)
Wed Nov 04 14:47:55 2009  using trial factoring cutoff of 51 bits
Wed Nov 04 14:47:55 2009  polynomial 'A' values have 12 factors
Wed Nov 04 17:50:50 2009  75673 relations (18625 full + 57048 combined from 1070859 partial), need 75344
Wed Nov 04 17:50:51 2009  begin with 1089484 relations
Wed Nov 04 17:50:52 2009  reduce to 195943 relations in 11 passes
Wed Nov 04 17:50:52 2009  attempting to read 195943 relations
Wed Nov 04 17:50:55 2009  recovered 195943 relations
Wed Nov 04 17:50:55 2009  recovered 179427 polynomials
Wed Nov 04 17:50:56 2009  attempting to build 75673 cycles
Wed Nov 04 17:50:56 2009  found 75673 cycles in 6 passes
Wed Nov 04 17:50:56 2009  distribution of cycle lengths:
Wed Nov 04 17:50:56 2009     length 1 : 18625
Wed Nov 04 17:50:56 2009     length 2 : 13525
Wed Nov 04 17:50:56 2009     length 3 : 12818
Wed Nov 04 17:50:56 2009     length 4 : 10120
Wed Nov 04 17:50:56 2009     length 5 : 7691
Wed Nov 04 17:50:56 2009     length 6 : 5105
Wed Nov 04 17:50:56 2009     length 7 : 3291
Wed Nov 04 17:50:56 2009     length 9+: 4498
Wed Nov 04 17:50:56 2009  largest cycle: 20 relations
Wed Nov 04 17:50:56 2009  matrix is 75248 x 75673 (19.9 MB) with weight 4909489 (64.88/col)
Wed Nov 04 17:50:56 2009  sparse part has weight 4909489 (64.88/col)
Wed Nov 04 17:50:57 2009  filtering completed in 3 passes
Wed Nov 04 17:50:57 2009  matrix is 71566 x 71630 (18.9 MB) with weight 4655436 (64.99/col)
Wed Nov 04 17:50:57 2009  sparse part has weight 4655436 (64.99/col)
Wed Nov 04 17:50:57 2009  saving the first 48 matrix rows for later
Wed Nov 04 17:50:57 2009  matrix is 71518 x 71630 (12.2 MB) with weight 3691149 (51.53/col)
Wed Nov 04 17:50:57 2009  sparse part has weight 2758033 (38.50/col)
Wed Nov 04 17:50:57 2009  matrix includes 64 packed rows
Wed Nov 04 17:50:57 2009  using block size 28652 for processor cache size 1024 kB
Wed Nov 04 17:50:58 2009  commencing Lanczos iteration
Wed Nov 04 17:50:58 2009  memory use: 12.2 MB
Wed Nov 04 17:51:32 2009  lanczos halted after 1132 iterations (dim = 71517)
Wed Nov 04 17:51:32 2009  recovered 17 nontrivial dependencies
Wed Nov 04 17:51:33 2009  prp38 factor: 84574198791351340668356637482340533647
Wed Nov 04 17:51:33 2009  prp56 factor: 41412453686437193224539957363738958943723854038718898569
Wed Nov 04 17:51:33 2009  elapsed time 03:03:39

66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867<104>

97126863769841467874236485364535089605312141371<47>
686767840130450661304870889966446488159378580482101462377<57>

Number: 74441_168
N=66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867
  ( 104 digits)
Divisors found:
 r1=97126863769841467874236485364535089605312141371
 r2=686767840130450661304870889966446488159378580482101462377
Version: 
Total time: 4.22 hours.
Scaled time: 10.06 units (timescale=2.384).
Factorization parameters were as follows:
name: 74441_168
n: 66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867
skew: 22384.96
# norm 2.87e+14
c5: 15660
c4: -501824996
c3: -18525148742447
c2: 266426610854246285
c1: 4333073707957086227643
c0: 14764715322523703194493871
# alpha -6.14
Y1: 7300412317
Y0: -84308575724840796752
# Murphy_E 2.08e-09
# M 5388142146302891828223044752647144935689243276179164408869092559758099099626333652594346077847048977290
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4950394
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255278 x 255526
Polynomial selection time: 0.29 hours.
Total sieving time: 3.36 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 4.22 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821<147>

39268314952713850595448103837343547881474177284595825197111581901<65>
20875107072457486060732694351310805475334418232554128505489461163587376424731649921<83>

Number: 74441_171
N=819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821
  ( 147 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=39268314952713850595448103837343547881474177284595825197111581901 (pp65)
 r2=20875107072457486060732694351310805475334418232554128505489461163587376424731649921 (pp83)
Version: Msieve-1.40
Total time: 78.42 hours.
Scaled time: 231.64 units (timescale=2.954).
Factorization parameters were as follows:
name: 74441_171
n: 819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821
m: 10000000000000000000000000000000000
deg: 5
c5: 670
c0: -31
skew: 0.54
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1016588 x 1016836
Total sieving time: 76.13 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.07 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 78.42 hours.
 --------- CPU info (if available) ----------

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

248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<174>

430710479242399035363062350740645865987466720557004828022753286974516590870289028663<84>
576136778897578548828836762015811405604962956451806450404338507568484460587741229848480869<90>

N=248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=430710479242399035363062350740645865987466720557004828022753286974516590870289028663 (pp84)
 r2=576136778897578548828836762015811405604962956451806450404338507568484460587741229848480869 (pp90)
Version: Msieve-1.40
Total time: 104.00 hours.
Scaled time: 197.49 units (timescale=1.899).
Factorization parameters were as follows:
n: 248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 50000000000000000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 8350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1467553 x 1467786
Total sieving time: 100.25 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.82 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 104.00 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

39486958878461977530728017677393333887113465707845189339260872315000605869237979314708532093662195595794929864937545522035432987798745286621845173767753<152>

10089025204178640369944170255353061<35>

3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3446776837
Step 1 took 77407ms
********** Factor found in step 1: 10089025204178640369944170255353061
Found probable prime factor of 35 digits: 10089025204178640369944170255353061
Composite cofactor 3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373 has 118 digits

GMP-ECM 6.2.3

3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373<118>

1107956568466102167290113690803424518152297503113039877<55>
3532496530426287269069411683893327481180797375709308177297031249<64>

Number: 118-1
N=3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373
  ( 118 digits)
Divisors found:
 r1=1107956568466102167290113690803424518152297503113039877 (pp55)
 r2=3532496530426287269069411683893327481180797375709308177297031249 (pp64)
Version: Msieve-1.40
Total time: 37.11 hours.
Scaled time: 66.17 units (timescale=1.783).
Factorization parameters were as follows:
name: 118-1
n: 3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373
skew: 42954.57
# norm 8.57e+015
c5: 54660
c4: -932461988
c3: -374496512642915
c2: 10002635600250758200
c1: 270855343945990365403500
c0: -18562453694038349731592352
# alpha -5.98
Y1: 3386095329991
Y0: -37238064974161682273765
# Murphy_E 4.25e-010
# M 2222552567939126652836296674134316880245006806139735071148813715276862431777248114069572064147648960180184003064531821
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 637643 x 637872
Polynomial selection time: 4.04 hours.
Total sieving time: 32.09 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 37.11 hours.
 --------- CPU info (if available) ----------

82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923<170>

393007290755296676600975185335423075552050629797117701609<57>
210641059005337681090850353556043252785508344730403422889278293035429519751561094996454076042806528622893752218747<114>

N=82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923
  ( 170 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=393007290755296676600975185335423075552050629797117701609 (pp57)
 r2=210641059005337681090850353556043252785508344730403422889278293035429519751561094996454076042806528622893752218747 (pp114)
Version: Msieve-1.40
Total time: 82.62 hours.
Scaled time: 155.56 units (timescale=1.883).
Factorization parameters were as follows:
n: 82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923
m: 100000000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1326117 x 1326348
Total sieving time: 79.81 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.19 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 82.62 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

268849564624212511536455198427029412944905902652381525620962240680550539705469282934071666466032663215761807311103085750973074916736888567874483367441113919987159423779142089<174>

14585106125382471096943606647246369289<38>

18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201<137>

Factor=14585106125382471096943606647246369289  Method=ECM  B1=11000000  Sigma=2392920153

ECMNET

18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201<137>

19898020154030755883891055184890564603400541908862993560684534496063<68>
926381508641067228306012978749534751045234695934945784575230010870527<69>

N = 18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201 (137 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=19898020154030755883891055184890564603400541908862993560684534496063 (pp68)
r2=926381508641067228306012978749534751045234695934945784575230010870527 (pp69)
Version: Msieve v. 1.48
Total time: 40.25 hours.
Factorization parameters were as follows:
name: (67*10^176-31)/9
n: 18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -31
c1: 0
c2: 0
c3: 0
c4: 0
c5: 670
skew: 0.54
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20891025
Relations: 2718970 relations
Pruned matrix : 1545766 x 1545991
Polynomial selection time: 0.00 hours.
Total sieving time: 36.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.11 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 40.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

68162642146051008875308794945570688276123190301450753342859160824346795452437649947865398298519512661137273260502669239635297940735861<134>

505759631354981794964047398848248973<36>
134772800991325300273077336980786311442257355451892165176382096720526209317925748259944647776542857<99>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2246438050
Step 1 took 5289ms
Step 2 took 4274ms
********** Factor found in step 2: 505759631354981794964047398848248973
Found probable prime factor of 36 digits: 505759631354981794964047398848248973
Probable prime cofactor 134772800991325300273077336980786311442257355451892165176382096720526209317925748259944647776542857 has 99 digits

GMP-ECM 6.3

18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137<158>

817372861126359048794746447096443033068029937530770407393222921141558437<72>
22544834050908461165732547254318851639929285113145702182725787416536172686973717235101<86>

Number: 74441_180
N=18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137
  ( 158 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=817372861126359048794746447096443033068029937530770407393222921141558437
 r2=22544834050908461165732547254318851639929285113145702182725787416536172686973717235101
Version: 
Total time: 55.71 hours.
Scaled time: 292.85 units (timescale=5.257).
Factorization parameters were as follows:
n: 18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137
m: 1000000000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
# Murphy_E = 8.883e-11
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2700000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17986251
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1376369 x 1376617
Total sieving time: 52.29 hours.
Total relation processing time: 1.22 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000
total time: 55.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 4930k

351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319<114>

339804285505812771909306394351621065329986786223<48>
1033907895700441246559141545237427637530368994032326666507566286553<67>

Number: 74441_184
N=351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319
  ( 114 digits)
Divisors found:
 r1=339804285505812771909306394351621065329986786223 (pp48)
 r2=1033907895700441246559141545237427637530368994032326666507566286553 (pp67)
Version: Msieve-1.40
Total time: 23.21 hours.
Scaled time: 22.44 units (timescale=0.967).
Factorization parameters were as follows:
n: 351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319
c5: 10800
c4: 1941725750
c3: 81144728246589
c2: -2951244695963751041
c1: 4701141700422248571895
c0: 240834821565109408055254255
Y1: 1235140464791
Y0:-7988311196055664378158
skew: 35675.38
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 525895 x 526143
Total sieving time: 22.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 23.21 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463<177>

81087778987890950319381185660568997637551954440426196784469871<62>
5131795739322660061520153353210447923892452263927995547459620715762426302360140169993475435650712589802639928612353<115>

N=416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=81087778987890950319381185660568997637551954440426196784469871 (pp62)
 r2=5131795739322660061520153353210447923892452263927995547459620715762426302360140169993475435650712589802639928612353 (pp115)
Version: Msieve v. 1.48
Total time:
Scaled time: 93.86 units (timescale=0.698).
Factorization parameters were as follows:
n: 416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463
m: 10000000000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 13510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1944158 x 1944268
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:

16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453<170>

6499408419146109364123407892520365650564389529650367998093003410933447<70>
2522207537760745644508459697314188321588450345415635912684254650276761118193513717840743019909336699<100>

Sun Mar  5 21:17:20 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Mar  5 21:17:20 2017  random seeds: ab4f95b2 fa11f463
Sun Mar  5 21:17:20 2017  factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits)
Sun Mar  5 21:17:21 2017  no P-1/P+1/ECM available, skipping
Sun Mar  5 21:17:21 2017  commencing number field sieve (170-digit input)
Sun Mar  5 21:17:21 2017  R0: -10000000000000000000000000000000000000
Sun Mar  5 21:17:21 2017  R1: 1
Sun Mar  5 21:17:21 2017  A0: -31
Sun Mar  5 21:17:21 2017  A1: 0
Sun Mar  5 21:17:21 2017  A2: 0
Sun Mar  5 21:17:21 2017  A3: 0
Sun Mar  5 21:17:21 2017  A4: 0
Sun Mar  5 21:17:21 2017  A5: 670
Sun Mar  5 21:17:21 2017  skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1
Sun Mar  5 21:17:21 2017  
Sun Mar  5 21:17:21 2017  commencing relation filtering
Sun Mar  5 21:17:21 2017  estimated available RAM is 15929.4 MB
Sun Mar  5 21:17:21 2017  commencing duplicate removal, pass 1
Sun Mar  5 21:20:15 2017  found 3385189 hash collisions in 22317759 relations
Sun Mar  5 21:20:35 2017  added 360 free relations
Sun Mar  5 21:20:35 2017  commencing duplicate removal, pass 2
Sun Mar  5 21:20:42 2017  found 3086178 duplicates and 19231941 unique relations
Sun Mar  5 21:20:42 2017  memory use: 98.6 MB
Sun Mar  5 21:20:42 2017  reading ideals above 720000
Sun Mar  5 21:20:42 2017  commencing singleton removal, initial pass
Sun Mar  5 21:22:54 2017  memory use: 689.0 MB
Sun Mar  5 21:22:54 2017  reading all ideals from disk
Sun Mar  5 21:22:54 2017  memory use: 613.4 MB
Sun Mar  5 21:22:55 2017  keeping 21402156 ideals with weight <= 200, target excess is 116369
Sun Mar  5 21:22:56 2017  commencing in-memory singleton removal
Sun Mar  5 21:22:57 2017  begin with 19231941 relations and 21402156 unique ideals
Sun Mar  5 21:23:07 2017  reduce to 7778639 relations and 7601973 ideals in 20 passes
Sun Mar  5 21:23:07 2017  max relations containing the same ideal: 106
Sun Mar  5 21:23:10 2017  removing 326438 relations and 305599 ideals in 20839 cliques
Sun Mar  5 21:23:10 2017  commencing in-memory singleton removal
Sun Mar  5 21:23:10 2017  begin with 7452201 relations and 7601973 unique ideals
Sun Mar  5 21:23:14 2017  reduce to 7439304 relations and 7283424 ideals in 8 passes
Sun Mar  5 21:23:14 2017  max relations containing the same ideal: 102
Sun Mar  5 21:23:16 2017  removing 234320 relations and 213481 ideals in 20839 cliques
Sun Mar  5 21:23:16 2017  commencing in-memory singleton removal
Sun Mar  5 21:23:16 2017  begin with 7204984 relations and 7283424 unique ideals
Sun Mar  5 21:23:20 2017  reduce to 7198639 relations and 7063575 ideals in 9 passes
Sun Mar  5 21:23:20 2017  max relations containing the same ideal: 98
Sun Mar  5 21:23:22 2017  relations with 0 large ideals: 2936
Sun Mar  5 21:23:22 2017  relations with 1 large ideals: 825
Sun Mar  5 21:23:22 2017  relations with 2 large ideals: 16031
Sun Mar  5 21:23:22 2017  relations with 3 large ideals: 128225
Sun Mar  5 21:23:22 2017  relations with 4 large ideals: 551164
Sun Mar  5 21:23:22 2017  relations with 5 large ideals: 1371708
Sun Mar  5 21:23:22 2017  relations with 6 large ideals: 2117232
Sun Mar  5 21:23:22 2017  relations with 7+ large ideals: 3010518
Sun Mar  5 21:23:22 2017  commencing 2-way merge
Sun Mar  5 21:23:25 2017  reduce to 4191572 relation sets and 4056508 unique ideals
Sun Mar  5 21:23:25 2017  commencing full merge
Sun Mar  5 21:24:17 2017  memory use: 489.7 MB
Sun Mar  5 21:24:17 2017  found 2151027 cycles, need 2138708
Sun Mar  5 21:24:17 2017  weight of 2138708 cycles is about 149854901 (70.07/cycle)
Sun Mar  5 21:24:17 2017  distribution of cycle lengths:
Sun Mar  5 21:24:17 2017  1 relations: 325986
Sun Mar  5 21:24:17 2017  2 relations: 283754
Sun Mar  5 21:24:18 2017  3 relations: 260271
Sun Mar  5 21:24:18 2017  4 relations: 221372
Sun Mar  5 21:24:18 2017  5 relations: 188663
Sun Mar  5 21:24:18 2017  6 relations: 155444
Sun Mar  5 21:24:18 2017  7 relations: 130891
Sun Mar  5 21:24:18 2017  8 relations: 106799
Sun Mar  5 21:24:18 2017  9 relations: 86757
Sun Mar  5 21:24:18 2017  10+ relations: 378771
Sun Mar  5 21:24:18 2017  heaviest cycle: 27 relations
Sun Mar  5 21:24:18 2017  commencing cycle optimization
Sun Mar  5 21:24:21 2017  start with 12226457 relations
Sun Mar  5 21:24:33 2017  pruned 258181 relations
Sun Mar  5 21:24:33 2017  memory use: 413.0 MB
Sun Mar  5 21:24:33 2017  distribution of cycle lengths:
Sun Mar  5 21:24:33 2017  1 relations: 325986
Sun Mar  5 21:24:33 2017  2 relations: 289579
Sun Mar  5 21:24:33 2017  3 relations: 268500
Sun Mar  5 21:24:33 2017  4 relations: 225240
Sun Mar  5 21:24:33 2017  5 relations: 191733
Sun Mar  5 21:24:33 2017  6 relations: 156277
Sun Mar  5 21:24:33 2017  7 relations: 130278
Sun Mar  5 21:24:33 2017  8 relations: 105721
Sun Mar  5 21:24:33 2017  9 relations: 85408
Sun Mar  5 21:24:33 2017  10+ relations: 359986
Sun Mar  5 21:24:33 2017  heaviest cycle: 27 relations
Sun Mar  5 21:24:36 2017  RelProcTime: 435
Sun Mar  5 21:24:36 2017  elapsed time 00:07:16
Sun Mar 05 21:24:36 2017 LatSieveTime: 1310.05
Sun Mar 05 21:24:36 2017 -> Running matrix solving step ...
Sun Mar 05 21:24:36 2017 -> ./msieve -s 74441_186/74441_186.dat -l 74441_186/74441_186.log -i 74441_186/74441_186.ini -nf 74441_186/74441_186.fb -t 6 -nc2
Sun Mar  5 21:24:36 2017  
Sun Mar  5 21:24:36 2017  
Sun Mar  5 21:24:36 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Mar  5 21:24:36 2017  random seeds: 52303e22 7f06b03c
Sun Mar  5 21:24:36 2017  factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits)
Sun Mar  5 21:24:37 2017  no P-1/P+1/ECM available, skipping
Sun Mar  5 21:24:37 2017  commencing number field sieve (170-digit input)
Sun Mar  5 21:24:37 2017  R0: -10000000000000000000000000000000000000
Sun Mar  5 21:24:37 2017  R1: 1
Sun Mar  5 21:24:37 2017  A0: -31
Sun Mar  5 21:24:37 2017  A1: 0
Sun Mar  5 21:24:37 2017  A2: 0
Sun Mar  5 21:24:37 2017  A3: 0
Sun Mar  5 21:24:37 2017  A4: 0
Sun Mar  5 21:24:37 2017  A5: 670
Sun Mar  5 21:24:37 2017  skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1
Sun Mar  5 21:24:37 2017  
Sun Mar  5 21:24:37 2017  commencing linear algebra
Sun Mar  5 21:24:37 2017  read 2138708 cycles
Sun Mar  5 21:24:40 2017  cycles contain 7026088 unique relations
Sun Mar  5 21:25:16 2017  read 7026088 relations
Sun Mar  5 21:25:21 2017  using 20 quadratic characters above 4294917295
Sun Mar  5 21:25:50 2017  building initial matrix
Sun Mar  5 21:26:36 2017  memory use: 864.8 MB
Sun Mar  5 21:26:36 2017  read 2138708 cycles
Sun Mar  5 21:26:37 2017  matrix is 2138530 x 2138708 (642.3 MB) with weight 190064059 (88.87/col)
Sun Mar  5 21:26:37 2017  sparse part has weight 144847595 (67.73/col)
Sun Mar  5 21:26:49 2017  filtering completed in 2 passes
Sun Mar  5 21:26:50 2017  matrix is 2135690 x 2135868 (642.0 MB) with weight 189965386 (88.94/col)
Sun Mar  5 21:26:50 2017  sparse part has weight 144813466 (67.80/col)
Sun Mar  5 21:26:54 2017  matrix starts at (0, 0)
Sun Mar  5 21:26:54 2017  matrix is 2135690 x 2135868 (642.0 MB) with weight 189965386 (88.94/col)
Sun Mar  5 21:26:54 2017  sparse part has weight 144813466 (67.80/col)
Sun Mar  5 21:26:54 2017  saving the first 48 matrix rows for later
Sun Mar  5 21:26:55 2017  matrix includes 64 packed rows
Sun Mar  5 21:26:55 2017  matrix is 2135642 x 2135868 (611.2 MB) with weight 151028840 (70.71/col)
Sun Mar  5 21:26:55 2017  sparse part has weight 138867061 (65.02/col)
Sun Mar  5 21:26:55 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Mar  5 21:27:00 2017  commencing Lanczos iteration (6 threads)
Sun Mar  5 21:27:00 2017  memory use: 490.1 MB
Sun Mar  5 21:27:06 2017  linear algebra at 0.1%, ETA 2h20m
Sun Mar  5 21:27:08 2017  checkpointing every 920000 dimensions
Sun Mar  5 23:29:46 2017  lanczos halted after 33774 iterations (dim = 2135640)
Sun Mar  5 23:29:47 2017  recovered 37 nontrivial dependencies
Sun Mar  5 23:29:47 2017  BLanczosTime: 7510
Sun Mar  5 23:29:47 2017  elapsed time 02:05:11
Sun Mar 05 23:29:47 2017 -> Running square root step ...
Sun Mar 05 23:29:47 2017 -> ./msieve -s 74441_186/74441_186.dat -l 74441_186/74441_186.log -i 74441_186/74441_186.ini -nf 74441_186/74441_186.fb -t 6 -nc3
Sun Mar  5 23:29:47 2017  
Sun Mar  5 23:29:47 2017  
Sun Mar  5 23:29:47 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Mar  5 23:29:47 2017  random seeds: fb117467 7ca99de9
Sun Mar  5 23:29:47 2017  factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits)
Sun Mar  5 23:29:48 2017  no P-1/P+1/ECM available, skipping
Sun Mar  5 23:29:48 2017  commencing number field sieve (170-digit input)
Sun Mar  5 23:29:48 2017  R0: -10000000000000000000000000000000000000
Sun Mar  5 23:29:48 2017  R1: 1
Sun Mar  5 23:29:48 2017  A0: -31
Sun Mar  5 23:29:48 2017  A1: 0
Sun Mar  5 23:29:48 2017  A2: 0
Sun Mar  5 23:29:48 2017  A3: 0
Sun Mar  5 23:29:48 2017  A4: 0
Sun Mar  5 23:29:48 2017  A5: 670
Sun Mar  5 23:29:48 2017  skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1
Sun Mar  5 23:29:48 2017  
Sun Mar  5 23:29:48 2017  commencing square root phase
Sun Mar  5 23:29:48 2017  reading relations for dependency 1
Sun Mar  5 23:29:48 2017  read 1068271 cycles
Sun Mar  5 23:29:50 2017  cycles contain 3512278 unique relations
Sun Mar  5 23:30:07 2017  read 3512278 relations
Sun Mar  5 23:30:17 2017  multiplying 3512278 relations
Sun Mar  5 23:32:00 2017  multiply complete, coefficients have about 110.73 million bits
Sun Mar  5 23:32:00 2017  initial square root is modulo 88631891
Sun Mar  5 23:34:07 2017  Newton iteration failed to converge
Sun Mar  5 23:34:07 2017  algebraic square root failed
Sun Mar  5 23:34:07 2017  reading relations for dependency 2
Sun Mar  5 23:34:08 2017  read 1065670 cycles
Sun Mar  5 23:34:09 2017  cycles contain 3506588 unique relations
Sun Mar  5 23:34:26 2017  read 3506588 relations
Sun Mar  5 23:34:36 2017  multiplying 3506588 relations
Sun Mar  5 23:36:19 2017  multiply complete, coefficients have about 110.54 million bits
Sun Mar  5 23:36:19 2017  initial square root is modulo 85995181
Sun Mar  5 23:38:29 2017  Newton iteration failed to converge
Sun Mar  5 23:38:29 2017  algebraic square root failed
Sun Mar  5 23:38:29 2017  reading relations for dependency 3
Sun Mar  5 23:38:29 2017  read 1067945 cycles
Sun Mar  5 23:38:30 2017  cycles contain 3514334 unique relations
Sun Mar  5 23:38:48 2017  read 3514334 relations
Sun Mar  5 23:38:57 2017  multiplying 3514334 relations
Sun Mar  5 23:40:38 2017  multiply complete, coefficients have about 110.79 million bits
Sun Mar  5 23:40:39 2017  initial square root is modulo 89523341
Sun Mar  5 23:42:46 2017  GCD is N, no factor found
Sun Mar  5 23:42:46 2017  reading relations for dependency 4
Sun Mar  5 23:42:46 2017  read 1067626 cycles
Sun Mar  5 23:42:47 2017  cycles contain 3512808 unique relations
Sun Mar  5 23:43:04 2017  read 3512808 relations
Sun Mar  5 23:43:15 2017  multiplying 3512808 relations
Sun Mar  5 23:44:57 2017  multiply complete, coefficients have about 110.74 million bits
Sun Mar  5 23:44:57 2017  initial square root is modulo 88862801
Sun Mar  5 23:47:06 2017  Newton iteration failed to converge
Sun Mar  5 23:47:06 2017  algebraic square root failed
Sun Mar  5 23:47:06 2017  reading relations for dependency 5
Sun Mar  5 23:47:06 2017  read 1067213 cycles
Sun Mar  5 23:47:07 2017  cycles contain 3510652 unique relations
Sun Mar  5 23:47:25 2017  read 3510652 relations
Sun Mar  5 23:47:36 2017  multiplying 3510652 relations
Sun Mar  5 23:49:18 2017  multiply complete, coefficients have about 110.67 million bits
Sun Mar  5 23:49:19 2017  initial square root is modulo 87827261
Sun Mar  5 23:51:26 2017  sqrtTime: 1298
Sun Mar  5 23:51:26 2017  p70 factor: 6499408419146109364123407892520365650564389529650367998093003410933447
Sun Mar  5 23:51:26 2017  p100 factor: 2522207537760745644508459697314188321588450345415635912684254650276761118193513717840743019909336699
Sun Mar  5 23:51:26 2017  elapsed time 00:21:39

Msieve 1.53 snfs

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

1916940075870182643646386852848640462802810142868372597938227659704572207575724130655906360250859364328587680732829969841368309026343288417954898283<148>

52742678219087518232011918361982912132281<41>
36345140986345363524305750726613489083836981288993625712041716340762312088413234088332583082262615713234243<107>

B1=43000000
B2=4300000000
hW_
Stage1: d = 1847807582410591237555869311325518748626910739518821133774971051939704908905682494622171627507135691885961238153718935836932014011132822827091244631
Stage1 time: 595.628005 seconds
Stage2 time: 240.720465 seconds
Stage2 gcd: -7179443499639540551
total time: 836.349 seconds
Y=143697973780790613896110975955430521633627857728493303509498146050399401660075346738267422930300166340982177821490692561256924197868996562136357951
--------------------------------------------------
@ probable prime factor found: 52742678219087518232011918361982912132281 digits: 41 cofactor: 36345140986345363524305750726613489083836981288993625712041716340762312088413234088332583082262615713234243

total time: 27613.099 seconds

g\W_ECM×í°éà’(D_

Intel Xeon E5-2640
Red Hat Enterprise Linux Server release 6.3

315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293<126>

453623042157188494833456689042930926393009<42>
695753664657761128510720422386966763463167956391897474816209571386200215574720684477<84>

N=315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293
  ( 126 digits)
Divisors found:
 r1=453623042157188494833456689042930926393009 (pp42)
 r2=695753664657761128510720422386966763463167956391897474816209571386200215574720684477 (pp84)
Version: Msieve-1.39
Total time: 48.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 1.400096e-10, selected by Jeff Gilchrist
n: 315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293
Y0: -2045200591272225710195065
Y1: 37530693047023
c0: -9606844287138699891655946024184
c1: -86627021361775285765926408
c2: 655721995325626052628
c3: -915713005939213
c4: 2740378862
c5: 8820
skew: 337556.66
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved algebraic special-q in [3700000, 7200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1523005 x 1523253
Total sieving time: 44.81 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 3.07 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7400000,7400000,30,30,60,60,2.6,2.6,500000
total time: 48.71 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.235321] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.331196] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428180] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 6004.11 BogoMIPS (lpj=12008231)
[    0.156009] Calibrating delay using timer specific routine.. 8400.06 BogoMIPS (lpj=16800120)
[    0.248015] Calibrating delay using timer specific routine.. 6000.08 BogoMIPS (lpj=12000173)
[    0.347721] Calibrating delay using timer specific routine.. 6000.07 BogoMIPS (lpj=12000153)
[    0.435722] Total of 4 processors activated (26404.33 BogoMIPS).

109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761<162>

3852533893942619106589519427714732588664812882569575838932490482171405091<73>
28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371<89>

109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761=3852533893942619106589519427714732588664812882569575838932490482171405091*28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371

cado polynomial
n: 109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761
skew: 0.54
type: snfs
c0: -31
c5: 670
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 670*x^5-31
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13900000
tasks.lim1 = 13900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.sqrt.threads = 2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371 3852533893942619106589519427714732588664812882569575838932490482171405091
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.89/2.40245
Info:Generate Free Relations: Total cpu/real time for freerel: 102.56/26.4841
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31869676
Info:Lattice Sieving: Average J: 1893.72 for 5284717 special-q, max bucket fill -bkmult 1.0,1s:1.111790
Info:Lattice Sieving: Total time: 1.38498e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 62.2/165.022
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 164.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 544.14/550.224
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 481.7000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 457.66/549.382
Info:Filtering - Merging: Merged matrix has 3083447 rows and total weight 528271698 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 433.93/125.606
Info:Filtering - Merging: Total cpu/real time for replay: 120.18/107.729
Info:Linear Algebra: Total cpu/real time for bwc: 172866/44279.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 28405.6, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (96768 iterations)
Info:Linear Algebra: Lingen CPU time 647.13, WCT time 186.75
Info:Linear Algebra: Mksol: WCT time 15315.48, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48640 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 106.1/45.422
Info:Square Root: Total cpu/real time for sqrt: 889.09/279.299
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.70525e+06/154626
28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371 3852533893942619106589519427714732588664812882569575838932490482171405091

cado-nfs-3.0.0

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

2274671786621949951263749654269552518055133473554962856563812879331411196076321546565020576595542670694967075946973<115>

876417883079711189730801115665794456501<39>
2595419183630539862325486973334714191597155410525075313845472607910755022473<76>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 2274671786621949951263749654269552518055133473554962856563812879331411196076321546565020576595542670694967075946973 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6695390019
Step 1 took 3447ms
Step 2 took 3775ms
********** Factor found in step 2: 876417883079711189730801115665794456501
Found probable prime factor of 39 digits: 876417883079711189730801115665794456501
Probable prime cofactor 2595419183630539862325486973334714191597155410525075313845472607910755022473 has 76 digits

Core 2 Quad Q6600

66996523060310261385141400668393153447150775764860344019868205768226131661848769555836212249773052474830518036668000629015049882364769565498080591201924499146437961030522838481<176>

386270755538741551898456545924829063119117<42>

173444461170425711379559827397538607304136055786974931614169377022796157746851390505487714775242376740427463192042769755387911372551893<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=264891915
Step 1 took 91106ms
Step 2 took 29935ms
********** Factor found in step 2: 386270755538741551898456545924829063119117
Found probable prime factor of 42 digits: 386270755538741551898456545924829063119117

173444461170425711379559827397538607304136055786974931614169377022796157746851390505487714775242376740427463192042769755387911372551893<135>

63822557331448783908699877432204027400212379<44>
2717604377237330766915009030902954501665259417350176145712435872632345721301327797120127567<91>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1980678408
Step 1 took 46067ms
Step 2 took 27254ms
********** Factor found in step 2: 63822557331448783908699877432204027400212379
Found probable prime factor of 44 digits: 63822557331448783908699877432204027400212379
Probable prime cofactor 2717604377237330766915009030902954501665259417350176145712435872632345721301327797120127567 has 91 digits

GMP-ECM 6.3

4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419<181>

294533607595416557876650056113685294784686599547589415134258011773<66>
15466090819870689011179284431334647867418234009144993581760542107937030654456270698898212626039994165476178952844703<116>

Number: n
N=4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Sep 27 14:48:48 2021  p66 factor: 294533607595416557876650056113685294784686599547589415134258011773
Mon Sep 27 14:48:48 2021  p116 factor: 15466090819870689011179284431334647867418234009144993581760542107937030654456270698898212626039994165476178952844703
Mon Sep 27 14:48:48 2021  elapsed time 02:28:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.286).
Factorization parameters were as follows:
#
# N = 67x10^203-31 = 74(202)1
#
n: 4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419
m: 10000000000000000000000000000000000
deg: 6
c6: 67
c0: -310
skew: 1.29
# Murphy_E = 6.946e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11051261 hash collisions in 67756699 relations (58322036 unique)
Msieve: matrix is 2397607 x 2397836 (828.7 MB)

Sieving start time : 2021/09/26 16:44:30
Sieving end time  : 2021/09/27 11:37:07

Total sieving time: 18hrs 52min 37secs.

Total relation processing time: 2hrs 4min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 59sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

8104277310764010017537019160654764954960678179307531912918721004059744905755994910701475209277414468415063569544875025035331669456264329023284141931705222256362148494011520673<175>

5550444302556379391880786223859165728094569<43>
1460113257425429271750862612675578324983619726818061455269335309132223273111852886974469151265077175633463610251341854395718960977017<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2936816475
Step 1 took 26146ms
Step 2 took 12105ms
********** Factor found in step 2: 5550444302556379391880786223859165728094569
Found probable prime factor of 43 digits: 5550444302556379391880786223859165728094569
Probable prime cofactor 1460113257425429271750862612675578324983619726818061455269335309132223273111852886974469151265077175633463610251341854395718960977017 has 133 digits

GMP-ECM 6.3

275024239037223635535034150717056800576867417367649004561409753382834805553426653216950686513963099742456295305475150439246056975701695186580392749642018954825838014775071<171>

4611264540635844627547995641723792105553538700616861371581741781243719482624646700558850097152834410520792221381020419789742399783264802655381212671511946199996389408739301595156636158705483003<193>

3273074389195125445044386384553085563461<40>
1408848071360147299305369216406471144402157815023087394212586410745208839668589305590680177252250681868418398502694501832857341084359304784800258859599423<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2465511360
Step 1 took 12387ms
Step 2 took 7145ms
********** Factor found in step 2: 3273074389195125445044386384553085563461
Found probable prime factor of 40 digits: 3273074389195125445044386384553085563461
Probable prime cofactor 1408848071360147299305369216406471144402157815023087394212586410745208839668589305590680177252250681868418398502694501832857341084359304784800258859599423 has 154 digits

GMP-ECM 6.3

2738975074193236637929330129677628364684469833750196592703450255315791529698795107705318248707626325658104491078113941428311429740148950010430326362195245567590438680561079596758976896369319<190>

486699195079559547562274099802162444371958813764462382860088154845391522668356701027482553794419556133703337396531056222994092035908021958489009583392984572562210191801693888832166030173373659704583<198>

488604803583898673685403785989806405275279781890835366233235722790009554550981599899996919390469057571151846993493852418955611475179337855329514335326231926177322140205012600019982142484765311886960975901739<207>

2909001139311357344364047776191758029<37>

167963084297576183866635389592603991839977622046594059571931125499266425139362748984617422647607086599965396083375427072325369527165662713633624416963230909524819794955991<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=405002397
Step 1 took 26775ms
Step 2 took 10318ms
********** Factor found in step 2: 2909001139311357344364047776191758029
Found probable prime factor of 37 digits: 2909001139311357344364047776191758029

7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<217>

1655810674018581740331638902180622724210289919633748558063431<61>
644695213247227056936731100840643890828462672918497615471771647<63>
6973762770356945230150643711174115254257083502158869533014422660972607024991784624525626306913<94>

Number: 74441_216
N = 7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (217 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=1655810674018581740331638902180622724210289919633748558063431 (pp61)
r2=644695213247227056936731100840643890828462672918497615471771647 (pp63)
r3=6973762770356945230150643711174115254257083502158869533014422660972607024991784624525626306913 (pp94)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 417.30 hours.
Factorization parameters were as follows:
n: 7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 1000000000000000000000000000000000000
deg: 6
c6: 67
c0: -31
skew: 0.88
# Murphy_E = 2.528e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51852233
Relations: 7657546 relations
Pruned matrix : 5297677 x 5297902
Polynomial selection time: 0.00 hours.
Total sieving time: 391.62 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 24.71 hours.
time per square root: 0.53 hours.
Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,200000
total time: 417.30 hours.
x86_64
Linux-3.13.0-68-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.10GHz

1534348582056720184740397791311612152302730853959229462423092148230983235673725452114348886067346046194932012726000216000378895456174156155633653573957750648982659700108774620235431184476758691<193>

162649909670237943922598091075734902009<39>

9433442571025779250968852358037354286657704183138734140979319168810506505544590616440940063624315581837063984531898464262136044171756458326291509868562299<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1927432481
Step 1 took 22807ms
Step 2 took 9629ms
********** Factor found in step 2: 162649909670237943922598091075734902009
Found probable prime factor of 39 digits: 162649909670237943922598091075734902009

8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977<163>

584511622347513231083567700255998196792293052514049333<54>
14349664831209285428472894264890802256888044776733315442786201404104782347999281404756075238519677318564316069<110>

Number: 74441_220
N = 8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977 (163 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=584511622347513231083567700255998196792293052514049333 (pp54)
r2=14349664831209285428472894264890802256888044776733315442786201404104782347999281404756075238519677318564316069 (pp110)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.13 hours.
Factorization parameters were as follows:
n: 8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 67
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7524566 relations
Pruned matrix : 6785377 x 6785602
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 26.85 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 26.54 hours.
time per square root: 0.43 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 54.13 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<222>

166732722403673600891804633372672417982781322302779413771749867<63>
2542793918413255119681348971513246180356170669153144113113826648318227<70>
585300685980801135201084726039664842071280831564722265269633096182903121657392597428234083<90>

N=248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=166732722403673600891804633372672417982781322302779413771749867 (pp63)
 r2=2542793918413255119681348971513246180356170669153144113113826648318227 (pp70)
 r3=585300685980801135201084726039664842071280831564722265269633096182903121657392597428234083 (pp90)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 315.98 units (timescale=1.877).
Factorization parameters were as follows:
n: 248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 10000000000000000000000000000000000000
deg: 6
c6: 67
c0: -310
skew: 1.29
# Murphy_E = 1.941e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 640000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [19000000, 64440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : submatrix x not
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time:

64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297<221>

16779830091683224604923970317482612717709117277317877<53>
3471279494573166816135457175962553858994851934215033129177537663099<67>
1108474850554729424432794394733929136795592438619229006370865679348544709615476393499407722593810491439<103>

Number: n
N=64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297
  ( 221 digits)
SNFS difficulty: 224 digits.
Divisors found:

Sat May  4 00:37:20 2019  found factor: 16779830091683224604923970317482612717709117277317877
Sat May  4 00:50:49 2019  p53 factor: 16779830091683224604923970317482612717709117277317877
Sat May  4 00:50:49 2019  p67 factor: 3471279494573166816135457175962553858994851934215033129177537663099
Sat May  4 00:50:49 2019  p103 factor: 1108474850554729424432794394733929136795592438619229006370865679348544709615476393499407722593810491439
Sat May  4 00:50:49 2019  elapsed time 15:36:42 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 67x10^223-31 = 74(222)1
#
n: 64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297
m: 10000000000000000000000000000000000000
deg: 6
c6: 670
c0: -31
skew: 0.60
# Murphy_E = 1.358e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 117100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13735896 hash collisions in 65328301 relations (52869448 unique)
Msieve: matrix is 5657752 x 5657977 (1978.1 MB)

Sieving start time: 2019/04/30 20:45:35
Sieving end time  : 2019/05/03 09:11:40

Total sieving time: 60hrs 26min 5secs.

Total relation processing time: 14hrs 48min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 26min 47sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285084K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 418376K reserved, 0K cma-reserved)
[    0.076569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977856)
[    0.074217] smpboot: Total of 16 processors activated (95822.84 BogoMIPS)

3224506033776686553427014586119114928139779022795388226257694052950284596598696275511975409243519746422380140816777010860906901746950730940069123881585080704321005282111801287276117632336166713666741926488830848287<214>

255379704123063586210211859342289029915887<42>

12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201<173>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3624834425
Step 1 took 14165ms
Step 2 took 7784ms
********** Factor found in step 2: 255379704123063586210211859342289029915887
Found probable prime factor of 42 digits: 255379704123063586210211859342289029915887
Composite cofactor 12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201 has 173 digits

GMP-ECM 6.3

12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201<173>

2145634363810367375970107932170671<34>

5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431<139>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1308385864
Step 1 took 7800ms
Step 2 took 5928ms
********** Factor found in step 2: 2145634363810367375970107932170671
Found probable prime factor of 34 digits: 2145634363810367375970107932170671
Composite cofactor 5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431 has 139 digits

GMP-ECM 6.3

5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431<139>

229291042424684699151473078301871112361955199<45>
25664571029458062564161509806523607376798025345367301205413688738076490365444296979698170682369<95>

Number: n
N=5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431
  ( 139 digits)
Divisors found:

Sun Nov  3 03:06:26 2013  prp45 factor: 229291042424684699151473078301871112361955199
Sun Nov  3 03:06:26 2013  prp95 factor: 25664571029458062564161509806523607376798025345367301205413688738076490365444296979698170682369
Sun Nov  3 03:06:26 2013  elapsed time 03:38:07 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.744).
Factorization parameters were as follows:
# Murphy_E = 2.418e-11, selected by Erik Branger
#
# 74(224)1 - c139
#
n: 5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431
Y0: -1029034478456876510773603727
Y1: 182436546453271
c0: 1438244916518611108697053702027200
c1: 2822712086933657002750747280
c2: -21156245036927798221812
c3: -21174931511401554
c4: 85491764851
c5: 5100
skew: 613864.24
type: gnfs
# selected mechanically
rlim: 16900000
alim: 16900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12450000)
Primes: RFBsize:1085243, AFBsize:1084643,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3484971 hash collisions in 28776086 relations (26309193 unique)
Msieve: matrix is 1553519 x 1553745 (445.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 56min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 46sec.

Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16900000,16900000,28,28,55,55,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

754471255786699758342626861486477537664447348159539886810884422834156596025441170031296811038176304070919310867190064402611743364693165856345432441808350823996389007148164473926416384294015585816153631<201>

19669102972977014986718246608169096100358997173<47>
38358193397190133360502456197060478052826021684507255862405376043432149365897534095682257962886143527536603652824075646039427645839169122114779611393900547<155>

GMP-ECM 6.2.3 [powered by GMP 6.3.0] [ECM]
Input number is 754471255786699758342626861486477537664447348159539886810884422834156596025441170031296811038176304070919310867190064402611743364693165856345432441808350823996389007148164473926416384294015585816153631 (201 digits)
Using B1=54280000, B2=288595837546, polynomial Dickson(12), sigma=1038699855
Step 1 took 205066ms
Step 2 took 46874ms
********** Factor found in step 2: 19669102972977014986718246608169096100358997173
Found probable prime factor of 47 digits: 19669102972977014986718246608169096100358997173
Probable prime cofactor 38358193397190133360502456197060478052826021684507255862405376043432149365897534095682257962886143527536603652824075646039427645839169122114779611393900547 has 155 digits

8518312950575763665176870143209967005688449009786003528351202924101848019860742944932778375587172369100647197293599468746435655396060323732029967232182153382092293055768038944627534241770760762447300228551429187<211>

168478057961570960095898336896189374203798114909138066117144033100210029830939353176585883396636122737610694470202330839716155149833116944914723859995246350529<159>

313995275700669197331291543408719159410763843627648676084858793<63>
536562397589002623237112558491221519973084034450045312759369291829190038696077180645567988766553<96>

Wed Jun 01 06:40:21 2022  
Wed Jun 01 06:40:21 2022  
Wed Jun 01 06:40:21 2022  Msieve v. 1.53 (SVN 988)
Wed Jun 01 06:40:21 2022  random seeds: 79f32ac4 503ead86
Wed Jun 01 06:40:21 2022  factoring 168478057961570960095898336896189374203798114909138066117144033100210029830939353176585883396636122737610694470202330839716155149833116944914723859995246350529 (159 digits)
Wed Jun 01 06:40:21 2022  searching for 15-digit factors
Wed Jun 01 06:40:21 2022  commencing number field sieve (159-digit input)
Wed Jun 01 06:40:21 2022  R0: -4851266826518136623665645567097
Wed Jun 01 06:40:21 2022  R1: 2596355756973773
Wed Jun 01 06:40:21 2022  A0: 50520435350264847218171939930231744880
Wed Jun 01 06:40:21 2022  A1: 49162713281051789945666535814076
Wed Jun 01 06:40:21 2022  A2: 19511259867816594066750370
Wed Jun 01 06:40:21 2022  A3: 1322706128831064626
Wed Jun 01 06:40:21 2022  A4: -947464968255
Wed Jun 01 06:40:21 2022  A5: 62700
Wed Jun 01 06:40:21 2022  skew 5300630.74, size 1.946e-015, alpha -6.050, combined = 1.685e-012 rroots = 1
Wed Jun 01 06:40:21 2022  
Wed Jun 01 06:40:21 2022  commencing relation filtering
Wed Jun 01 06:40:21 2022  setting target matrix density to 130.0
Wed Jun 01 06:40:21 2022  estimated available RAM is 16151.1 MB
Wed Jun 01 06:40:21 2022  commencing duplicate removal, pass 1
Wed Jun 01 06:40:45 2022  error -15 reading relation 2841708
Wed Jun 01 06:42:54 2022  error -9 reading relation 18492003
Wed Jun 01 06:49:17 2022  error -9 reading relation 64181894
Wed Jun 01 06:52:34 2022  error -9 reading relation 87412915
Wed Jun 01 06:53:25 2022  error -15 reading relation 93661774
Wed Jun 01 06:53:32 2022  error -9 reading relation 94476052
Wed Jun 01 06:53:41 2022  error -15 reading relation 95505347
Wed Jun 01 06:54:07 2022  error -15 reading relation 98681857
Wed Jun 01 06:54:17 2022  error -15 reading relation 99993394
Wed Jun 01 06:54:17 2022  error -5 reading relation 99995377
Wed Jun 01 06:54:17 2022  error -5 reading relation 100004377
Wed Jun 01 06:54:18 2022  error -15 reading relation 100050029
Wed Jun 01 06:55:12 2022  error -1 reading relation 107157687
Wed Jun 01 06:57:13 2022  error -15 reading relation 122570003
Wed Jun 01 06:57:43 2022  error -5 reading relation 126343688
Wed Jun 01 06:57:43 2022  error -15 reading relation 126380464
Wed Jun 01 06:59:11 2022  skipped 6 relations with composite factors
Wed Jun 01 06:59:11 2022  found 25480304 hash collisions in 137698190 relations
Wed Jun 01 06:59:34 2022  added 122151 free relations
Wed Jun 01 06:59:34 2022  commencing duplicate removal, pass 2
Wed Jun 01 07:00:59 2022  found 23449835 duplicates and 114370506 unique relations
Wed Jun 01 07:00:59 2022  memory use: 660.8 MB
Wed Jun 01 07:00:59 2022  reading ideals above 79888384
Wed Jun 01 07:00:59 2022  commencing singleton removal, initial pass
Wed Jun 01 07:13:11 2022  memory use: 2756.0 MB
Wed Jun 01 07:13:11 2022  reading all ideals from disk
Wed Jun 01 07:13:14 2022  memory use: 1893.3 MB
Wed Jun 01 07:13:20 2022  commencing in-memory singleton removal
Wed Jun 01 07:13:26 2022  begin with 114370506 relations and 84235830 unique ideals
Wed Jun 01 07:14:16 2022  reduce to 83969160 relations and 51399325 ideals in 11 passes
Wed Jun 01 07:14:16 2022  max relations containing the same ideal: 51
Wed Jun 01 07:14:23 2022  reading ideals above 720000
Wed Jun 01 07:14:23 2022  commencing singleton removal, initial pass
Wed Jun 01 07:26:31 2022  memory use: 1506.0 MB
Wed Jun 01 07:26:31 2022  reading all ideals from disk
Wed Jun 01 07:26:37 2022  memory use: 3112.3 MB
Wed Jun 01 07:26:50 2022  keeping 60285186 ideals with weight <= 200, target excess is 443804
Wed Jun 01 07:27:02 2022  commencing in-memory singleton removal
Wed Jun 01 07:27:13 2022  begin with 83969161 relations and 60285186 unique ideals
Wed Jun 01 07:28:08 2022  reduce to 83965726 relations and 60281749 ideals in 6 passes
Wed Jun 01 07:28:08 2022  max relations containing the same ideal: 200
Wed Jun 01 07:28:57 2022  removing 7718070 relations and 5718070 ideals in 2000000 cliques
Wed Jun 01 07:29:00 2022  commencing in-memory singleton removal
Wed Jun 01 07:29:12 2022  begin with 76247656 relations and 60281749 unique ideals
Wed Jun 01 07:30:22 2022  reduce to 75685008 relations and 53984649 ideals in 7 passes
Wed Jun 01 07:30:22 2022  max relations containing the same ideal: 196
Wed Jun 01 07:31:11 2022  removing 6152970 relations and 4152970 ideals in 2000000 cliques
Wed Jun 01 07:31:13 2022  commencing in-memory singleton removal
Wed Jun 01 07:31:22 2022  begin with 69532038 relations and 53984649 unique ideals
Wed Jun 01 07:32:15 2022  reduce to 69150612 relations and 49440380 ideals in 7 passes
Wed Jun 01 07:32:15 2022  max relations containing the same ideal: 186
Wed Jun 01 07:32:55 2022  removing 5745761 relations and 3745761 ideals in 2000000 cliques
Wed Jun 01 07:32:58 2022  commencing in-memory singleton removal
Wed Jun 01 07:33:06 2022  begin with 63404851 relations and 49440380 unique ideals
Wed Jun 01 07:33:47 2022  reduce to 63073221 relations and 45354013 ideals in 6 passes
Wed Jun 01 07:33:47 2022  max relations containing the same ideal: 178
Wed Jun 01 07:34:24 2022  removing 5531601 relations and 3531601 ideals in 2000000 cliques
Wed Jun 01 07:34:26 2022  commencing in-memory singleton removal
Wed Jun 01 07:34:33 2022  begin with 57541620 relations and 45354013 unique ideals
Wed Jun 01 07:35:17 2022  reduce to 57229230 relations and 41501104 ideals in 7 passes
Wed Jun 01 07:35:17 2022  max relations containing the same ideal: 167
Wed Jun 01 07:35:50 2022  removing 5397377 relations and 3397377 ideals in 2000000 cliques
Wed Jun 01 07:35:52 2022  commencing in-memory singleton removal
Wed Jun 01 07:35:59 2022  begin with 51831853 relations and 41501104 unique ideals
Wed Jun 01 07:36:31 2022  reduce to 51524026 relations and 37786671 ideals in 6 passes
Wed Jun 01 07:36:31 2022  max relations containing the same ideal: 155
Wed Jun 01 07:36:58 2022  removing 5299663 relations and 3299663 ideals in 2000000 cliques
Wed Jun 01 07:36:59 2022  commencing in-memory singleton removal
Wed Jun 01 07:37:04 2022  begin with 46224363 relations and 37786671 unique ideals
Wed Jun 01 07:37:33 2022  reduce to 45909217 relations and 34161413 ideals in 6 passes
Wed Jun 01 07:37:33 2022  max relations containing the same ideal: 145
Wed Jun 01 07:38:01 2022  removing 5237604 relations and 3237604 ideals in 2000000 cliques
Wed Jun 01 07:38:02 2022  commencing in-memory singleton removal
Wed Jun 01 07:38:07 2022  begin with 40671613 relations and 34161413 unique ideals
Wed Jun 01 07:38:33 2022  reduce to 40342356 relations and 30582688 ideals in 6 passes
Wed Jun 01 07:38:33 2022  max relations containing the same ideal: 130
Wed Jun 01 07:38:56 2022  removing 5195262 relations and 3195262 ideals in 2000000 cliques
Wed Jun 01 07:38:58 2022  commencing in-memory singleton removal
Wed Jun 01 07:39:01 2022  begin with 35147094 relations and 30582688 unique ideals
Wed Jun 01 07:39:25 2022  reduce to 34789309 relations and 27015431 ideals in 7 passes
Wed Jun 01 07:39:25 2022  max relations containing the same ideal: 119
Wed Jun 01 07:39:44 2022  removing 5164659 relations and 3164659 ideals in 2000000 cliques
Wed Jun 01 07:39:45 2022  commencing in-memory singleton removal
Wed Jun 01 07:39:48 2022  begin with 29624650 relations and 27015431 unique ideals
Wed Jun 01 07:40:11 2022  reduce to 29226165 relations and 23433793 ideals in 7 passes
Wed Jun 01 07:40:11 2022  max relations containing the same ideal: 106
Wed Jun 01 07:40:29 2022  removing 5148609 relations and 3148609 ideals in 2000000 cliques
Wed Jun 01 07:40:30 2022  commencing in-memory singleton removal
Wed Jun 01 07:40:33 2022  begin with 24077556 relations and 23433793 unique ideals
Wed Jun 01 07:40:50 2022  reduce to 23616229 relations and 19798878 ideals in 7 passes
Wed Jun 01 07:40:50 2022  max relations containing the same ideal: 94
Wed Jun 01 07:41:04 2022  removing 5138015 relations and 3138015 ideals in 2000000 cliques
Wed Jun 01 07:41:06 2022  commencing in-memory singleton removal
Wed Jun 01 07:41:08 2022  begin with 18478214 relations and 19798878 unique ideals
Wed Jun 01 07:41:21 2022  reduce to 17913032 relations and 16057848 ideals in 7 passes
Wed Jun 01 07:41:21 2022  max relations containing the same ideal: 77
Wed Jun 01 07:41:32 2022  removing 3638472 relations and 2298101 ideals in 1340371 cliques
Wed Jun 01 07:41:33 2022  commencing in-memory singleton removal
Wed Jun 01 07:41:35 2022  begin with 14274560 relations and 16057848 unique ideals
Wed Jun 01 07:41:46 2022  reduce to 13814276 relations and 13269948 ideals in 8 passes
Wed Jun 01 07:41:46 2022  max relations containing the same ideal: 67
Wed Jun 01 07:41:55 2022  removing 157820 relations and 128305 ideals in 29515 cliques
Wed Jun 01 07:41:55 2022  commencing in-memory singleton removal
Wed Jun 01 07:41:57 2022  begin with 13656456 relations and 13269948 unique ideals
Wed Jun 01 07:42:03 2022  reduce to 13654762 relations and 13139944 ideals in 5 passes
Wed Jun 01 07:42:03 2022  max relations containing the same ideal: 67
Wed Jun 01 07:42:05 2022  relations with 0 large ideals: 1457
Wed Jun 01 07:42:05 2022  relations with 1 large ideals: 8535
Wed Jun 01 07:42:05 2022  relations with 2 large ideals: 115869
Wed Jun 01 07:42:05 2022  relations with 3 large ideals: 663181
Wed Jun 01 07:42:05 2022  relations with 4 large ideals: 1971493
Wed Jun 01 07:42:05 2022  relations with 5 large ideals: 3412830
Wed Jun 01 07:42:05 2022  relations with 6 large ideals: 3672600
Wed Jun 01 07:42:05 2022  relations with 7+ large ideals: 3808797
Wed Jun 01 07:42:05 2022  commencing 2-way merge
Wed Jun 01 07:42:17 2022  reduce to 9441911 relation sets and 8927093 unique ideals
Wed Jun 01 07:42:17 2022  commencing full merge
Wed Jun 01 07:46:44 2022  memory use: 1138.2 MB
Wed Jun 01 07:46:47 2022  found 4141635 cycles, need 4119293
Wed Jun 01 07:46:47 2022  weight of 4119293 cycles is about 536230514 (130.18/cycle)
Wed Jun 01 07:46:47 2022  distribution of cycle lengths:
Wed Jun 01 07:46:47 2022  1 relations: 69655
Wed Jun 01 07:46:47 2022  2 relations: 186160
Wed Jun 01 07:46:47 2022  3 relations: 251536
Wed Jun 01 07:46:47 2022  4 relations: 285887
Wed Jun 01 07:46:47 2022  5 relations: 311397
Wed Jun 01 07:46:47 2022  6 relations: 319027
Wed Jun 01 07:46:47 2022  7 relations: 320191
Wed Jun 01 07:46:47 2022  8 relations: 307519
Wed Jun 01 07:46:47 2022  9 relations: 289641
Wed Jun 01 07:46:47 2022  10+ relations: 1778280
Wed Jun 01 07:46:47 2022  heaviest cycle: 28 relations
Wed Jun 01 07:46:50 2022  commencing cycle optimization
Wed Jun 01 07:47:02 2022  start with 38935612 relations
Wed Jun 01 07:49:19 2022  pruned 2299867 relations
Wed Jun 01 07:49:19 2022  memory use: 966.9 MB
Wed Jun 01 07:49:20 2022  distribution of cycle lengths:
Wed Jun 01 07:49:20 2022  1 relations: 69655
Wed Jun 01 07:49:20 2022  2 relations: 192421
Wed Jun 01 07:49:20 2022  3 relations: 264983
Wed Jun 01 07:49:20 2022  4 relations: 302081
Wed Jun 01 07:49:20 2022  5 relations: 333065
Wed Jun 01 07:49:20 2022  6 relations: 341729
Wed Jun 01 07:49:20 2022  7 relations: 343761
Wed Jun 01 07:49:20 2022  8 relations: 329200
Wed Jun 01 07:49:20 2022  9 relations: 307713
Wed Jun 01 07:49:20 2022  10+ relations: 1634685
Wed Jun 01 07:49:20 2022  heaviest cycle: 28 relations
Wed Jun 01 07:49:27 2022  RelProcTime: 4146
Wed Jun 01 07:49:27 2022  
Wed Jun 01 07:49:27 2022  commencing linear algebra
Wed Jun 01 07:49:28 2022  read 4119293 cycles
Wed Jun 01 07:49:38 2022  cycles contain 13422805 unique relations
Wed Jun 01 07:51:00 2022  read 13422805 relations
Wed Jun 01 07:51:32 2022  using 20 quadratic characters above 4294917295
Wed Jun 01 07:52:24 2022  building initial matrix
Wed Jun 01 07:55:50 2022  memory use: 1847.1 MB
Wed Jun 01 07:55:55 2022  read 4119293 cycles
Wed Jun 01 07:55:56 2022  matrix is 4119115 x 4119293 (2037.1 MB) with weight 619326651 (150.35/col)
Wed Jun 01 07:55:56 2022  sparse part has weight 488691473 (118.63/col)
Wed Jun 01 07:56:56 2022  filtering completed in 2 passes
Wed Jun 01 07:56:57 2022  matrix is 4119053 x 4119231 (2037.1 MB) with weight 619323367 (150.35/col)
Wed Jun 01 07:56:57 2022  sparse part has weight 488690262 (118.64/col)
Wed Jun 01 07:57:14 2022  matrix starts at (0, 0)
Wed Jun 01 07:57:15 2022  matrix is 4119053 x 4119231 (2037.1 MB) with weight 619323367 (150.35/col)
Wed Jun 01 07:57:15 2022  sparse part has weight 488690262 (118.64/col)
Wed Jun 01 07:57:15 2022  saving the first 48 matrix rows for later
Wed Jun 01 07:57:17 2022  matrix includes 64 packed rows
Wed Jun 01 07:57:18 2022  matrix is 4119005 x 4119231 (1984.9 MB) with weight 531962627 (129.14/col)
Wed Jun 01 07:57:18 2022  sparse part has weight 479140829 (116.32/col)
Wed Jun 01 07:57:18 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 01 07:57:40 2022  commencing Lanczos iteration (6 threads)
Wed Jun 01 07:57:40 2022  memory use: 1646.4 MB
Wed Jun 01 07:58:04 2022  linear algebra at 0.0%, ETA 17h16m
Wed Jun 01 07:58:11 2022  checkpointing every 250000 dimensions
Thu Jun 02 00:57:30 2022  lanczos halted after 65137 iterations (dim = 4119003)
Thu Jun 02 00:57:36 2022  recovered 31 nontrivial dependencies
Thu Jun 02 00:57:37 2022  BLanczosTime: 61690
Thu Jun 02 00:57:37 2022  
Thu Jun 02 00:57:38 2022  commencing square root phase
Thu Jun 02 00:57:38 2022  handling dependencies 1 to 64
Thu Jun 02 00:57:38 2022  reading relations for dependency 1
Thu Jun 02 00:57:39 2022  read 2058717 cycles
Thu Jun 02 00:57:44 2022  cycles contain 6708774 unique relations
Thu Jun 02 00:59:05 2022  read 6708774 relations
Thu Jun 02 00:59:48 2022  multiplying 6708774 relations
Thu Jun 02 01:07:23 2022  multiply complete, coefficients have about 348.08 million bits
Thu Jun 02 01:07:26 2022  initial square root is modulo 1760699
Thu Jun 02 01:16:04 2022  GCD is 1, no factor found
Thu Jun 02 01:16:04 2022  reading relations for dependency 2
Thu Jun 02 01:16:06 2022  read 2058404 cycles
Thu Jun 02 01:16:11 2022  cycles contain 6708736 unique relations
Thu Jun 02 01:17:23 2022  read 6708736 relations
Thu Jun 02 01:18:06 2022  multiplying 6708736 relations
Thu Jun 02 01:25:41 2022  multiply complete, coefficients have about 348.08 million bits
Thu Jun 02 01:25:44 2022  initial square root is modulo 1760881
Thu Jun 02 01:34:18 2022  sqrtTime: 2200
Thu Jun 02 01:34:18 2022  p63 factor: 313995275700669197331291543408719159410763843627648676084858793
Thu Jun 02 01:34:18 2022  p96 factor: 536562397589002623237112558491221519973084034450045312759369291829190038696077180645567988766553
Thu Jun 02 01:34:18 2022  elapsed time 18:53:57

Msieve v. 1.53 (SVN 988)

Core i7-10750H with 16 GB memory, 6 threads, Windows 10

2091574998238577369221834386425021801994410855710383796802433381006985820361691001192661584953820185515179115979754345590784080104599509533491518113072606434252739305642328451570029911<184>

20327873172208164450127968631416959798824945624394906932890867862767514862638220514536311204361874886141559056428978926823146338854343064532846515135280245958716026384524913098547515499190884289376251480128373867295586785673<224>

436007041724324022744765947544075776657902959988815484040274421621503445819238354775025788041400868627952604631181208844342208439281822089131129050536765711389192289699036905233145541373376200000503404487724835993967<216>

397979163634511033773008567263887<33>
1095552434812231400113579370551885549048303682701993573107407592999437460812424153271634144404421380035239635822368851523250725692465176555799102945574669906302224056873266638689495841<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3596209754
Step 1 took 14165ms
Step 2 took 7816ms
********** Factor found in step 2: 397979163634511033773008567263887
Found probable prime factor of 33 digits: 397979163634511033773008567263887
Probable prime cofactor 1095552434812231400113579370551885549048303682701993573107407592999437460812424153271634144404421380035239635822368851523250725692465176555799102945574669906302224056873266638689495841 has 184 digits

GMP-ECM 6.3

3459492767351996875880705744434695837023224640052769114136090998253584525459343720909801888981344974212642027473382197126771090458379316846008772810406106005440732409670635673430689246866773440004285869962896192871346305883093<226>

108347960549100002354502237645335764229<39>

31929468259665671410151894958721348395510228069572294504573759987082524568502081663413407232508206768949576659074697761942676702236640433331214371584017914115845543361033145554886295452817<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2194483772
Step 1 took 30423ms
Step 2 took 11381ms
********** Factor found in step 2: 108347960549100002354502237645335764229
Found probable prime factor of 39 digits: 108347960549100002354502237645335764229

3253357607000863077026071413949245999398244410917715735710820835516330300550179394206119776110631611948310960455277657787780473986146659437328388233<148>

95328934222175935067062346771015789<35>
194958220372518007238416412422777288909669727<45>
175051369909631651538931044787411983953292469631547283822192814184211<69>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1325782534
Step 1 took 5460ms
Step 2 took 4337ms
********** Factor found in step 2: 95328934222175935067062346771015789
Found probable prime factor of 35 digits: 95328934222175935067062346771015789
Composite cofactor 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 has 113 digits

N = 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 (113 digits)
Divisors found:
r1=194958220372518007238416412422777288909669727 (pp45)
r2=175051369909631651538931044787411983953292469631547283822192814184211 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 4.25 hours.
Factorization parameters were as follows:
n: 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397
Y0: -4738878506722478266844
Y1: 897512556007
c0: 1600460367009431318652660831
c1: 1162440493703521506787263
c2: -1366215423726787993
c3: -293955312715591
c4: 171105914
c5: 14280
skew: 89246.36  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8475136
Relations: 589582 relations
Pruned matrix : 365855 x 366080
Polynomial selection time: 0.00 hours.
Total sieving time: 4.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 4.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

36672140120415982484948002189381499726327312534209085933223864258347016967706622879036672140120415982484948002189381499726327312534209085933223864258347016967706622879036672140120415982484948002189381499726327312534209085933223864258347<236>

436744611702623762110117678028131129529<39>
83967012157177514687012243657597090994820405871752335840501631065397401461922554893218037679093121840692212630763018785222777734168595048388890918124833604999526518212440262470910360806064210013443<197>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=527026380
Step 1 took 13120ms
Step 2 took 6973ms
********** Factor found in step 2: 436744611702623762110117678028131129529
Found probable prime factor of 39 digits: 436744611702623762110117678028131129529
Probable prime cofactor 83967012157177514687012243657597090994820405871752335840501631065397401461922554893218037679093121840692212630763018785222777734168595048388890918124833604999526518212440262470910360806064210013443 has 197 digits

GMP-ECM 6.3

7225511447582688968693045175623065558035955007710806992569585988978398956075361005963743030616756715951125346447097393423706148155337711777583659559783018969663636265596859598606662568615397888425162034790298402838439720901139905313447<235>

173374072237232106505800898480969991<36>

41675847803216156819117229111252187034290384622054123601236847398146985541458757303343771141186833978251735988152003369564299902756337318134909041563420544610423261193233241197505685094648194587019617<200>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3774538856
Step 1 took 13026ms
Step 2 took 6974ms
********** Factor found in step 2: 173374072237232106505800898480969991
Found probable prime factor of 36 digits: 173374072237232106505800898480969991
Composite cofactor 41675847803216156819117229111252187034290384622054123601236847398146985541458757303343771141186833978251735988152003369564299902756337318134909041563420544610423261193233241197505685094648194587019617 has 200 digits

GMP-ECM 6.3

7777395917763402670772160095328114136342810175361724956461963805081705933659477109055036116508385022732759434985471703958829159345540236632323937060393917146734671968467894050927712403777<187>

656063070999473129071874213<27>

11854646697176541033324073189491059488815300175486613833787850269546821224419182352080370994356094227135154886258862321820465261811603877531892372921573937893229<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=972321115
Step 1 took 8611ms
Step 2 took 5367ms
********** Factor found in step 2: 656063070999473129071874213
Found probable prime factor of 27 digits: 656063070999473129071874213
Composite cofactor 11854646697176541033324073189491059488815300175486613833787850269546821224419182352080370994356094227135154886258862321820465261811603877531892372921573937893229 has 161 digits

GMP-ECM 6.3

3428670170947618565723976581913840692637053630670720633178992342007345546061007016308708586135760560648308636796070989621757700754418444322448206877863486037647276401210024347478861793828865803319141<199>

27351224934888197661745567769520721<35>

125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021<165>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3288137165
Step 1 took 9874ms
Step 2 took 5835ms
********** Factor found in step 2: 27351224934888197661745567769520721
Found probable prime factor of 35 digits: 27351224934888197661745567769520721
Composite cofactor 125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021 has 165 digits

GMP-ECM 6.3

125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021<165>

5798144372874728411725086442118487895849<40>
21620209749852284082186931632255665900448167850710751582140730824478906613239455706663661952604505351655184602914174385735629<125>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=711002507
Step 1 took 378804ms
Step 2 took 106414ms
********** Factor found in step 2: 5798144372874728411725086442118487895849
Found probable prime factor of 40 digits: 5798144372874728411725086442118487895849

145735491819109411916442104292764114626912061954473326251163747567171036956567405992829711076337594597882061655240969255976144911447578553233043238012592365945485198163688453428618424823431787348092772548335474411044817<219>

2252082045815316127921426037845607559248655610254433936381896116792516490878905034981659653446043672579130969009282596188557206026594641148319657120102631367795659027300866957421566121750987463014000890304545932507521<217>

1635092301234063945467198391509985272478917302086306594556323694927295582755748040409874820343724686091152112671691479418046203137728800636498169684951580432153395748869530448975936377914743700521670141813792756904466447493<223>

81459293049735716912494434255133419781<38>

20072507875016093941198123709798386445818990627548331026706625794252966950685585905021796632732661432018283896280786549035034114594903534813636457687928928211724949498725413040206241153<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3132979687
Step 1 took 108255ms
Step 2 took 35767ms
********** Factor found in step 2: 81459293049735716912494434255133419781
Found probable prime factor of 38 digits: 81459293049735716912494434255133419781

454865240534812097423855177779396128807538381840800101483607818540709399387719839984071374006988722597515412432197995543857126050181969528965986836381214505288975290934490957695399582434014844908017<198>

339527428495270180218118501153633120849973978009771295337680297932784717819767692292879400364155835995076345529462619297016060660882538205703959447249346409700146604903080121885279256242363800092331190256474965426479389418196947192336207154299<243>

1700583322005022722630269443<28>
199653509535163708972069713365832179522855062948289456816660861808402053464343146734810405760567549627431659015262249897701510784566302089196863732878708747897605789218164409614146737620698555711299261304216632202793<216>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1294880906
Step 1 took 13166ms
Step 2 took 7192ms
********** Factor found in step 2: 1700583322005022722630269443
Found probable prime factor of 28 digits: 1700583322005022722630269443
Probable prime cofactor 199653509535163708972069713365832179522855062948289456816660861808402053464343146734810405760567549627431659015262249897701510784566302089196863732878708747897605789218164409614146737620698555711299261304216632202793 has 216 digits

GMP-ECM 6.3

112948633658692830290463426558101114314132065611355552183954550818456143899930882179402889462061059694195788870345083362834842124782953185320049225374669161651410172120231291828924965019639575852593604072894013722416089279994605438392420640941351<246>

3865133209355932008719311548209299466739172273645664905160070074941234516127166293827465918832709224418630261594466039754209318894052453603830368193709258105689100456681393420117089672795673065612930560352308456546414661294408179973444623053<241>

1321498937990485788523923244685410034393<40>
2924809924730911337948066951665330853523982750395008993666929689899074203430215119148283814575097107458052477708245855408299127186470685149668075640180444707958089619385073889514302088661712165914105621<202>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=473051302
Step 1 took 35187ms
Step 2 took 12593ms
********** Factor found in step 2: 1321498937990485788523923244685410034393
Found probable prime factor of 40 digits: 1321498937990485788523923244685410034393

536073875402027639095235877304576386570923481773361904929790997825340936414459709873707610563531336653930222121542497475096138677397964262777852550931782106663367591<165>

50782224696612251351973682473181<32>
10556329081773958372291171061980548831529300305753911990746732906844964450895186775087235674634635199021567242542109294273115786134611<134>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=723170135
Step 1 took 6396ms
Step 2 took 4680ms
********** Factor found in step 2: 50782224696612251351973682473181
Found probable prime factor of 32 digits: 50782224696612251351973682473181
Probable prime cofactor 10556329081773958372291171061980548831529300305753911990746732906844964450895186775087235674634635199021567242542109294273115786134611 has 134 digits

GMP-ECM 6.3

2235495445656023759923744249911711217512378904528165319884153020817915537019563156520450736417025444630627855961134928089341510084645184400160123096637746268172989969661200392562082927415964719844813804627264120733668734137352919<229>

686132226675813892340012263749405487643970403922708696289058954587109710919495568179786283819449586518660609103327343804375262166340383004063930977769649209045103735183259856990168279005520191828236081495180372803737865469226273<228>

19038887643248352641705064671780885277170983564368515701014157527984258563584461629177444492160727640961162761496276602963466457239584580939918892184687995811440171885328210263060887416641828661720410827926099564180624044650463054149525888632855917<248>

33158128031714278647003140883231072446640574199979141446746806503604850724683619936176101672922840500981251462996424539786030959320814277623838494610486408362190868293173186503727329167909816081358179748391137243374225827<221>

979289866415450241974692307614576193640269944265824624004180724541890861172801281233863227415521254668608128005849044628489940220448421795751473323238078137971652163231128197071995026499<186>