Proving primality in essentially quartic random time
Authors:
Daniel J. Bernstein.
Affiliation:
Department of Mathematics, Statistics, and Computer Science (M/C 249), The University of Illinois at Chicago, Chicago, Illinois 60607--7045
Abstract:
This paper presents an algorithm that, given a prime , finds and verifies a proof of the primality of in random time . Several practical speedups are incorporated into the algorithm and discussed in detail.