The Rabin-Monier theorem for Lucas pseudoprimes

Author:

Arnault F.

Abstract

We give bounds on the number of pairs ( P , Q ) (P,Q) with 0 P , Q > n 0\le P,Q>n such that a composite number n n is a strong Lucas pseudoprime with respect to the parameters ( P , Q ) (P,Q) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference10 articles.

1. Rabin-Miller primality test: composite numbers which pass it;Arnault, F.;Math. Comp.,1995

2. \bysame, Constructing Carmichael numbers which are strong pseudoprimes to several bases, J. Symbolic Comput. 20 (1995), 151–161.

3. F. Arnault and G. Robin, Sur une fonction associée aux entiers quadratiques, Preprint.

4. Lucas pseudoprimes;Baillie, Robert;Math. Comp.,1980

5. On strong pseudoprimes to several bases;Jaeschke, Gerhard;Math. Comp.,1993

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