Vol. 98, No. 2, 1982

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A class of primality tests for trinomials which includes the Lucas-Lehmer test

Hugh C. Williams

Vol. 98 (1982), No. 2, 477–494
Abstract

When n is an odd prime, the well-known Lucas-Lehmer test gives a necessary and sufficient condition for primality of 2n 1. In this paper, primality tests of a similar character are developed for certain integers of the form Ab2n + Bbn 1 and a criterion which generalizes the Lucas-Lehmer test is obtained.

Mathematical Subject Classification
Primary: 10A25, 10A25
Milestones
Received: 6 March 1979
Revised: 6 March 1981
Published: 1 February 1982
Authors
Hugh C. Williams
Department of Mathematics & Statistics
University of Calgary
2500 University Drive NW
Calgary AB T2N 1N4
Canada