Dear Artur,

On 27 Nov., 22:49, Artur <[email protected]> wrote:
> Dear Simon,
> I have base about 1 MB prime factors which occured in many
> factorizations x^n-1 , Lucas, Fibonacci etc. I don't adding any
> successive primes only primes which occured in siome factorizations (my
> base also contained Cunningham base and 100 others)
> Algorhithm of probe factorziation is  very simply.

Sure it's simple. Factorization is not my field of expertise, but I
would be surprized if trial division would not already be part of the
factorization routines (but perhaps with a too small base).

Concerning Cunningham: There has been a thread on Sage devel (http://
groups.google.com/group/sage-devel/browse_thread/thread/
6d2ef34de1a5eb27/87db0305f9022ff3) and two trac tickets #7239 and
#7240 (that's to say http://trac.sagemath.org/sage_trac/ticket/7239
and http://trac.sagemath.org/sage_trac/ticket/7240 ) concerning
factorization of Cunningham numbers. The first ticket is already part
of Sage, but the second needs work and hasn't been touched since a
while.

> That is worth lost 5 second on the start ...

Do you mean by "5 seconds on the start": The time that Sage needs to
start up would increase by 5 seconds? I think many people would think
that the startup time of Sage is already too much, so, increasing it
further wouldn't be good.

Best regards,
Simon

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