On Tue, 13 Aug 2002, Lucky Green wrote:

> Gary Jeffers
> > Sent: Tuesday, August 13, 2002 3:07 PM
> > To: [EMAIL PROTECTED]
> > Subject: A faster way to factor prime numbers found?
> >
> >
> > A faster way to factor prime numbers found?
>
> AFICT, the proposed algorithm is for a test for primality and does not
> represent an algorithm to factor composites.
>

Yes, the paper is quite readable.  The "futuristic" conjecture is that
primes can be proved in O(log^3(n)) time, but the algorithm as presented
is O(log^12(n)) time.  The authors admit that present probabalistic
algorithms are faster.  However, it presents a new way to think about the
problem, so it opens the door for a lot of new research.  Time will tell
if that leads to new factoring algorithms.

Is Pollard still interested?  Maybe somebody should drop off the paper and
a new computer at his house :-)

Patience, persistence, truth,
Dr. mike


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