Hi George I can supply working examples for ECM on 2^m+1 or more specifically for Fm = 2^(2^m)+1 cases for known factors of Fermat Numbers from F10 to F23. I can provide sets with (Fm, prime factor, sigma, smooth ECM group order). I just need to verify them with Prime95 v22.12 to avoid any egg-on-face mistakes.
I have tools to rapidly compute ECM group orders specifically for Richard Crandall's ECM curve parameterization you use. Just send me a list (or .txt attachment) containing any (prime factor, sigma) pairs you are interested in. Regards Alan Powell At 11:45 PM 11/8/02, you wrote: >A harder problem is finding some smooth ECM curves to test. I do not >have tools to compute group orders. If someone can help by finding a >couple of dozen smooth ECM test cases for exponents between 1000 >and 500000, I would be most grateful. _________________________________________________________________________ Unsubscribe & list info -- http://www.ndatech.com/mersenne/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
