PSEUDOPRIMES IN CERTAIN LINEAR RECURRENCES

Florian Luca; Igor E. Shparlinski

doi:10.51286/albjm/1189355988

2007 PSEUDOPRIMES IN CERTAIN LINEAR RECURRENCES

Florian Luca, Igor E. Shparlinski

Author Affiliations +

Albanian J. Math. 1(3): 125-131 (2007). DOI: 10.51286/albjm/1189355988

Abstract

Let $b\gt1$ be a fixed positive integer. We study the distribution of pseudoprimes to base $b$ in certain linear recurrence sequences. We prove, in effective form, that most terms of these sequences are not pseudoprimes to base $b$ .

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[2] A. C. Cojocaru, F. Luca and I. E. Shparlinski, ‘Pseudoprime reductions of elliptic curves’, Preprint, 2007.[2] A. C. Cojocaru, F. Luca and I. E. Shparlinski, ‘Pseudoprime reductions of elliptic curves’, Preprint, 2007.

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Florian Luca and Igor E. Shparlinski "PSEUDOPRIMES IN CERTAIN LINEAR RECURRENCES," Albanian Journal of Mathematics 1(3), 125-131, (2007). https://doi.org/10.51286/albjm/1189355988

Received: 13 June 2007; Published: 2007

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