Re: Mersenne: Re: Mayer's Counter-Challenge

1998-12-04 Thread Peter-Lawrence . Montgomery
Dienst writes (in response to Ernst Mayer) If one instead does a fast polynomial-evaluation stage 2, even one with modest circular convolution length (to keep memory requirements reasonable), the stage 2 depth for a given amount of work should rise dramatically, perhaps 2-3 orders of

Mersenne: Re: Mayer's Counter-Challenge

1998-12-03 Thread Ernst W. Mayer
George Woltman wrote: I wrote a program to analyze P-1 factoring success rate. Yes, that's what I hoped to see. And your stage 2 work estimates are in fact much too pessimistic - more on this shortly. I assumed that GCDs are free (they certainly aren't) Even if an individual GCD costs much

Re: Mersenne: Re: Mayer's Counter-Challenge

1998-12-03 Thread Deinst
If one instead does a fast polynomial-evaluation stage 2, even one with modest circular convolution length (to keep memory requirements reasonable), the stage 2 depth for a given amount of work should rise dramatically, perhaps 2-3 orders of magnitude. One needs to do an extended GCD at the

Mersenne: Re: Mayer's Counter-Challenge

1998-12-02 Thread George Woltman
Hi, First off, thanks to all that have submitted ideas to my factoring challenge. A few have even started to write the assembly code. I hope to incorporate these ideas and code sometime next year. Secondly, I must apologize for not reviewing and commenting on the suggestions.