On Sep 30, 7:07 pm, Zimmermann Paul <paul.zimmerm...@loria.fr> wrote:
>        John,
>
> > I can easily factor mod two primes around 10^7 and then use CRT,
> > though that is a bit of a pain.  So my question is:  what's this limit
> > on the size of primes p for which factorization over GF(p)[X,Y] is
> > possible, where does this limit come from, and is it documented?
>
> the limit is p < 2^29 for factorization over GF(p)[X,Y].
> Seehttp://trac.sagemath.org/sage_trac/ticket/11829.
> Note however that Singular is broken for such 
> computations:http://trac.sagemath.org/sage_trac/ticket/10902.
>

Thanks.  I was puzzled by noticing that for primes just a little too
big I got the helpful message (about 2^29) but for next_prime(10^14)
it crashed.  But that was with 4.7.1.

John

> Paul

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