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