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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 $ n$, finds and verifies a proof of the primality of $ n$ in random time $ (operatorname{lg} n)^{4+o(1)}$. Several practical speedups are incorporated into the algorithm and discussed in detail.

Keywords:
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