Recently I wrote: > Well, if a Mnumber has been trial-factored to 2^63 (with no success, > or else we wouldn't be considering P-1 now), then P-1 will not > find any factors of 63 bits or less.
Tom Cage has reminded me that he and others have found factors with P-1 that are smaller than the posted bit limit in the current nofactor.cmp at http://www.mersenne.org/gimps. AFAIK, the number of such findings is too small to make any significant difference in the probabilities calculated by the P-1 limit-choosing algorithm, but it would be well to remember that it can still happen. Richard Woods _________________________________________________________________________ Unsubscribe & list info -- http://www.ndatech.com/mersenne/signup.htm Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
