20190112, 15:03  #463  
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×2,213 Posts 
Quote:
Are they not twins if there are NO primes between them? Or is there a better term? Ok I googled; not twins; or cousins; or even sexy, but still consecutive primes. I stand corrected. And I know that everyone (you too) knew I meant I factored the Mersenne prime with these exponents. But we can have fun keeping each other on their toes. 

20190114, 00:18  #464 
Jul 2018
19_{10} Posts 
A factorization of a 172digit composite into 88digit and 84digit primes with CADONFS's development version (git revision 0dec81292) and the default params.c170 file:
Code:
3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341 == 446312748645718146132684289764373070973541797549254695585526735493360431216546061841 * 6758452466578325810330347608534512938095716148720844026944541733955827767173119787909501 Code:
n: 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341 skew: 5687366.741 c0: 1844365051828556051246292858200517299056 c1: 652680455268348606492829307490528 c2: 42979525126081196796415117 c3: 747412658435266339995 c4: 16124985610032 c5: 2706480 Y0: 1348430098615952463172584497847510 Y1: 242062762813618602089 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=2.631e+15) = 2.96e08 # found by revision 0dec81292 # f(x) = 2706480*x^516124985610032*x^4747412658435266339995*x^342979525126081196796415117*x^2652680455268348606492829307490528*x+1844365051828556051246292858200517299056 # g(x) = 242062762813618602089*x1348430098615952463172584497847510 Looks like polynomial selection ran for 6.5h, sieving took 5 days 16 hours (both jobs distributed across 6 machines) and linear algebra took 7 days 13 hours, though these times are estimates only. Along with a 230digit SNFS job from January 3rd, all in all a good start to the year. 
20190114, 06:20  #465 
"Curtis"
Feb 2005
Riverside, CA
23·191 Posts 
Nooks
If you are able to post some timings, I would appreciate having them as a baseline for when I develop params for 170+ numbers. I can get the input params from the Git distribution; if you have them I'd like the following from the last page or two of the screen display (and thus, perhaps, the log file, though I haven't looked there): Total sieving time bwc time total CPU time (wall clock not relevant since you used multiple machines). If you could scroll up to just above the start of the matrix phase, the total matrix weight would be nice too, but that's secondary to the timings. 
20190201, 03:08  #466 
Jul 2018
19 Posts 
The final 191digit composite factor of via SNFS:
Code:
236629558781563913152694288465588385072932963576605354172203938573603707688\ 657537351091535752598011220253440476681720689237296299832984394194906581349\ 98810605512544414399653796835562442062749 == 758248354419233258221885990957066295939092170798035281629413131115956168\ 07051026803657302059 * 3120739496530870602238825207916337507864541192949895693245364011021398842\ 82412308031192400107693911 Code:
n: 23662955878156391315269428846558838507293296357660535417220393857360370768865753735109153575259801122025344047668172068923729629983298439419490658134998810605512544414399653796835562442062749 skew: 0.35 c0: 61 c6: 34000 Y0: 1000000000000000000000000000000000000000000 Y1: 1 # f(x) = 34000*x^661 # g(x) = x1000000000000000000000000000000000000000000 Code:
Generate Factor Base: Total cpu/real time for makefb: 99.59/21.3723 Generate Free Relations: Total cpu/real time for freerel: 1360.09/193.008 Lattice Sieving: Total time: 3.35592e+07s Filtering  Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1046.05/799.656 Filtering  Duplicate Removal, removal pass: Total cpu/real time for dup2: 5185.82/1825.88 Filtering  Singleton removal: Total cpu/real time for purge: 4031.2/1504.99 Filtering  Merging: Total cpu/real time for merge: 9195.7/8388.62 Filtering  Merging: Total cpu/real time for replay: 509.53/424.943 Linear Algebra: Total cpu/real time for bwc: 1.30761e+07/337028 Quadratic Characters: Total cpu/real time for characters: 513.59/126.766 Square Root: Total cpu/real time for sqrt: 18426/2744.89 Complete Factorization: Total cpu/elapsed time for entire factorization: 6.74113e+07/1.27886e+06 
20190307, 16:45  #467  
Mar 2018
3·43 Posts 
My first attempt at doing a (S)NFS factorization on my own finally complete.
The number was C157 from M2856, i.e. cofactor of 2^1428+1 it split into Quote:
(out of the cofactors of mersenne numbers with composite exponent – i'm excluding the wagstaff numbers too – at the moment there were only 22 currently 200dd and below, this was the smallest) (next one I'll be working on will be C159 from the lower aurifellian "half" of M5340, i.e. 2,2670L in cunningham project notation. it used to be C200 before I found a P41 during a t45 ECM. I've since ran ECM to t50 and will run more before starting NFS) 

20190307, 17:52  #468  
"Curtis"
Feb 2005
Riverside, CA
1129_{16} Posts 
Quote:
Another way to guesstimate ECM depth is to use 0.33*{input digits}, and then do half that much ECM. It's not a massive waste for you to do 75% as much, or 50% extra, of "optimal" ECM, but don't feel like you *need* to do more ECM before you jump in to GNFS. 

20190315, 06:42  #469  
Mar 2018
3·43 Posts 
Quote:
Code:
p77 factor: 14395422614070252889320736657833207061788526074290028178132689141296169594901 p83 factor: 49230132958996393737968357088119278041863452859497085931935198555333741322274461901 

20190414, 08:39  #470 
(loop (#_fork))
Feb 2006
Cambridge, England
1100010110010_{2} Posts 
L1657 factored in fivemack's shed
Code:
Sat Apr 13 23:26:19 2019 p63 factor: 296487969525296276850921981749786845648115727996781154088552709 Sat Apr 13 23:26:19 2019 p136 factor: 2875934486229125150363886610871286062228526402357438883980261213555353869456660982295169078268290455092395769879076574162437017394717449 Linear algebra was 436.4 clockhours on 14 cores i9/7940X; sieving was 142 calendar days on a variety of machines (327960 threadhours, average 96 threads) Polynomial selection was about 13 days on 48 cores (c5=100M..148M, stage1 norm 2e30, filtered with stage2 norm 3e27) ; polynomial used was Code:
n: 852679976309849462561536948832252846150022423314081294539696739447185168605454946622214267597669582414001048054414801767580861775753868718426635210602520095957947143580737129768159250338498398519341 # size 1.520e19, alpha 8.037, combined = 5.249e15 rroots = 5 skew: 87449658.66 c0: 19173795040547917922319576642461732013068609000 c1: 11624482281468240523430055237992563747370 c2: 151621758548975810978340099738421 c3: 13148951379326142412839968 c4: 15717746636680866 c5: 145180728 Y0: 89903255613260185328110621485495452493 Y1: 597297877329514173839 lpbr: 33 lpba: 33 mfbr: 66 mfba: 96 alambda: 3.4 rlambda: 2.4 alim: 268000000 rlim: 268000000 Code:
Tue Mar 26 14:39:06 2019 matrix is 39891210 x 39891388 (20304.8 MB) with weight 6098284592 (152.87/col) Tue Mar 26 14:39:06 2019 sparse part has weight 4844082745 (121.43/col) Tue Mar 26 14:48:05 2019 filtering completed in 2 passes Tue Mar 26 14:48:14 2019 matrix is 39890195 x 39890373 (20304.7 MB) with weight 6098240356 (152.87/col) Tue Mar 26 14:48:14 2019 sparse part has weight 4844072509 (121.43/col) Tue Mar 26 14:50:33 2019 matrix starts at (0, 0) Tue Mar 26 14:50:39 2019 matrix is 39890195 x 39890373 (20304.7 MB) with weight 6098240356 (152.87/col) Tue Mar 26 14:50:39 2019 sparse part has weight 4844072509 (121.43/col) Tue Mar 26 14:50:39 2019 saving the first 240 matrix rows for later Tue Mar 26 14:50:49 2019 matrix includes 256 packed rows Tue Mar 26 14:51:02 2019 matrix is 39889955 x 39890373 (18437.2 MB) with weight 4450167471 (111.56/col) Tue Mar 26 14:51:02 2019 sparse part has weight 4194944839 (105.16/col) Last fiddled with by fivemack on 20190414 at 08:40 
20190415, 17:10  #471  
Mar 2018
3×43 Posts 
Quote:
Last fiddled with by DukeBG on 20190415 at 17:11 

20190415, 17:36  #473 
Mar 2018
10000001_{2} Posts 

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