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Primitive divisors of elliptic divisibility sequences

Graham Everest·Gerard Mclaren·Tom Ward
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Abstract

Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a uniform manner. We present such a result for certain infinite families of curves and points. Our methods allow the first explicit examples of the elliptic Zsigmondy Theorem to be exhibited.

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Graham Everest, Gerard Mclaren, Tom Ward. 2006-03-16. Primitive divisors of elliptic divisibility sequences. https://doi.org/10.1016/j.jnt.2005.08.002

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