On Sunday 10 November 2002 20:03, [EMAIL PROTECTED] wrote:
> "Brian J. Beesley" <[EMAIL PROTECTED]> wrote
> - Here's one example:
> -
> - With sigma=1459848859275459, Prime95 v22.12 finds the factor
> - 777288435261989969 of M1123:
> -
> - in stage 1 with B1 >= 535489
> - in stage 2 with B1 >= 3891
[EMAIL PROTECTED] wrote:
-
Last I heard, Ernst Mayer lived near San Jose, CA,
He still does. Showed up at the Mersenne prime party
a year ago.
...and kept the web pages on a home machine. One headline at www.sjmercury.com reads
Wet and Wild
Storm knocks out powe
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-
Brian
For M1123 the factor 777288435261989969 using sigma = 1459848859275459 has
a group order of 777288435636813540 = 2^2*3*5*11*31*1823*38917*535489 thus:
1. In stage 1: B1 >= 535489 is required
2. Noting that 534241 is 44147th prime and 535489 the 44230th prime;
In stage 2: B1 >= 38917 is
"Brian J. Beesley" <[EMAIL PROTECTED]> wrote
- From [EMAIL PROTECTED] Sun Nov 10 20:22:33 2002
- On Saturday 09 November 2002 04:45, George Woltman 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 findi
On Saturday 09 November 2002 04:45, George Woltman 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 50, I would be most
On Saturday 09 November 2002 04:45, you wrote:
>
> A harder problem is finding some smooth ECM curves to test. I do not
> have tools to compute group orders.
Nor do I.
> If someone can help by finding a
> couple of dozen smooth ECM test cases for exponents between 1000
> and 50, I would be m
