Re: Surrogate factoring, corrected algorithm

From: Tim Peters (tim.one_at_comcast.net)
Date: 02/17/05


Date: Thu, 17 Feb 2005 00:21:06 -0500


 [JSH]
>> [...]
>> Then the corrected algorithm is as follows.

[Tim Peters]
> As far as I can see, the only difference from the weekend's algorithm is
> that this one iterates over splittings of T^3 j^2 instead of over T j^2.

My mistake, and my apologies for that. The equations for w also changed:
they were adding 2j^2 in the weekend algorithm, but are adding 2Tj^2 in this
algorithm.

After correcting the implementation to match, at M = 112554401 * 221667653
it still (of course) does the same number of gcds. It still doesn't find a
factor at any j in 1 through 16, and j=17 is still very expensive (and is
still running, so I can't say what will happen with it yet -- and I won't
bother, unless it turns out to be really interesting).



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