Primes in elliptic divisibility sequences
Manfred Einsiedler, Graham Everest and Thomas Ward
Abstract: Morgan Ward pursued the study of elliptic divisibility sequences, originally
initiated by Lucas, and
Chudnovsky and Chudnovsky subsequently suggested looking at
elliptic divisibility sequences for prime appearance.
The problem of prime appearance in these
sequences is examined here, from both a theoretical and
a practical viewpoint.
The authors show
calculations, together with a heuristic argument, to
suggest that these sequences contain only finitely
many primes.
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