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 2012-07-25, 07:29 #1 Raman Noodles     "Mr. Tuch" Dec 2007 Chennai, India 23518 Posts Operation Dunning-Kruger-Krieg If whether it is really being practically possible, indeed Please pardon my own interruption. But as a collective team work & effort, will we be indeed really be able to tackle away with RSA-1024 in its place? It sounds rather like a drastic jump to me,is to being for towards away quite directly from 203 digits within Mersenne Forum, 232 digits from within EPFL et al. 309 decimal digits. Remember this thing first place Furthermore, what is being the fun in tackling away something for which we already know the factors to be of both roughly equal in size? I am not questioning for developments & improvements in GNFS polynomial selection tool, not some need to eliminate away the small possible prime factors by using the Elliptic Curve Method, etc. If we go after some mathematical number, then we have got atleast some mystery already being hidden behind, to know size of prime factors being hidden behind them, beneath, etc. 2,1277- being very much easier than RSA-1024; SNFS 385 ≈ GNFS 269 < GNFS 309 (2,1237-) SNFS 373 ?? not much of fun since one prime factor p70 is being revealed thereby 2,1123+ c338 no non-primitive prime factors being known away at all for this thing, either 2,1117- c337 2,2042 L/M SNFS 308 13,269- c299 L1277 / L1279 c267 / c268 [COLOR=White]L1249, 3,607± being done away, either[/COLOR] If RSA-1024 seems to be too drastic a jump, you still need GNFS candidates, numbers alone, as yet, also a little big enough, as well, then, , then, there exist definitely numbers like such as including with RSA-896 GNFS 270, not being a too drastic a jump, such as, like the RSA-1024, GNFS 309 at all EM48 GNFS 256 10,383+ c230, definitely GNFS, being available with lowest possible GNFS/SNFS ratio, among other Cunninghams, is somewhat being equivalent to RSA-768 from within size & difficulty in terms hardly only biggest GNFS being available with actually to be being enough, is although, , maybe next possible step for Mersenne Forum stage after B200 c203, etc. not a sudden drastic jerk as well, including RSA-1024 GNFS 309 at all But still, RSA-896 is being a very much jump too also, as well, as yet at all as since there exist no intermediate RSA-832, RSA-960 at all, during first place But potentially 10,383+ c230 maybe become a sudden ECM hit as well, after so many small prime factors have been eliminated away for this thing by making usage for Elliptical curve method, as well? For this thing, as well. Similar to things for 2,991± stuffs! Or otherwise somebody maybe potentially try away in order to lead away with a somewhat practically potentially possible challenging project probably - but perhaps try to finish away with Cunningham base 2 tables for 1000 bits For this thing, as well, there exist alone 8 such items existing from within the + / - side, as well, 2,929- 2,947- 2,991- 2,947+ 2,961+ 2,983+ 2,989+ 2,991+ But 11 such things, as such, stuffs being pending away from within 2 LM side tables to be being potentially enough They are being listed away as follows 2,1846L 2,1874L 2,1894M 2,1898L 2,1898M 2,1906M 2,1934M 2,1942M 2,1954M 2,1978L 2,1982M Last fiddled with by Raman on 2012-07-25 at 08:29