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arxiv: math/0409540 · v2 · submitted 2004-09-28 · 🧮 math.NT

Primitive divisors of elliptic divisibility sequences

classification 🧮 math.NT
keywords ellipticcurvesdivisibilityresultsequencestheoremzsigmondyallow
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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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