Primes in elliptic divisibility sequences

Einsiedler, M.; Everest, G.; Ward, T.

doi:10.1112/s1461157000000772

Primes in elliptic divisibility sequences

Einsiedler, M.; Everest, G.; Ward, T.

Authors

M. Einsiedler

G. Everest

T. Ward

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.

Citation

Einsiedler, M., Everest, G., & Ward, T. (2001). Primes in elliptic divisibility sequences. LMS journal of computation and mathematics, 4, 1-13. https://doi.org/10.1112/s1461157000000772

Journal Article Type	Article
Publication Date	Jan 1, 2001
Deposit Date	Oct 12, 2012
Journal	LMS Journal of Computation and Mathematics
Electronic ISSN	1461-1570
Publisher	Cambridge University Press
Peer Reviewed	Peer Reviewed
Volume	4
Pages	1-13
DOI	https://doi.org/10.1112/s1461157000000772
Publisher URL	http://old.lms.ac.uk/jcm//4/lms2000-027/sub/lms2000-027.pdf?q=jcm/4/lms2000-027/sub/lms2000-027.pdf