Primes in elliptic divisibility sequences

Einsiedler, Manfred, Everest, Graham and Ward, Thomas (2001) Primes in elliptic divisibility sequences. LMS Journal of Computation and Mathematics, 4. pp. 1-13. ISSN 1461-1570

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Abstract

Morgan Ward pursued the study of elliptic divisibility sequences initiated by Lucas, and Chudnovsky and Chudnovsky suggested looking at elliptic divisibility sequences for prime appearance. The problem of prime appearance in these sequences is examined here from a theoretical and a practical viewpoint. We exhibit calculations, together with a heuristic argument, to suggest that these sequences contain only finitely many primes.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
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Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 14:48
Last Modified: 11 Sep 2020 23:55
URI: https://ueaeprints.uea.ac.uk/id/eprint/19698
DOI:

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