Re: Critiquing surrogate factoring

From: Bruce Stephens (bruce+usenet_at_cenderis.demon.co.uk)
Date: 03/31/05


Date: Thu, 31 Mar 2005 10:09:08 +0100

jstevh@msn.com writes:

[...]

> I will remind that what I presented here in my original post is a
> theorem, and being a theorem, it's not arguable as to its
> correctness.

Ah. So your proof of the theorem is that it's a theorem, and is
therefore true? That would be proof by assertion, I think
<http://www.enseeiht.fr/~queinnec/proof.html>.

> That theorem shows that you get rational factors of M^2 from using
> the factorization of Tj^2, where T = M^2 - j^2, and j is a number
> you select, with the requirement that j^2 > M^2.

It would probably help if you defined what you mean by a rational
factor (or just give a reference; I couldn't see any definition
online). Of course what we actually want is non-trivial integer
factors of M. So even if the alleged theorem is true, it may be
valueless for factoring in the usual (integer) sense.