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 500000, I would be most grateful.

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 >= 38917 & B2 >= 534241

I'm not entirely sure why the B2 required to find the factor at the end of 
stage 2 is smaller than the B1 required to find it in stage 1. One of the 
improvements I guess.

Regards
Brian Beesley
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