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Re: [Axiom-mail] Elliptic curve factoring


From: Bill Page
Subject: Re: [Axiom-mail] Elliptic curve factoring
Date: Tue, 10 Jul 2007 10:17:54 -0400

On 7/10/07, Alasdair McAndrew wrote:
I have written some highly unoptimized code for factoring integers using
Lenstra's elliptic curve method, with the "birthday paradox" phase two
developed by Richard Brent.  Even at this stage, it can factor the seventh
Fermat number 2^2^7+1 in 352 seconds, as opposed to 1877 seconds by the
in-built factoring method.  If anybody is interesting in developing this
code further, do let me know.


I am very interested in helping to develop this code. One way that we
could do that is to put it in a web page on the Axiom Wiki (like some
of the other Axiom Contributions on the wiki). If you would like me to
do this, just send me the code by email attachment. Or I would be
happy to show you how to do it.

Regards,
Bill Page.




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