Primitive divisors on twists of the Fermat cubic

Graham Everest; Patrick Ingram; Shaun Stevens

doi:10.1112/S1461157000000024

Primitive divisors on twists of the Fermat cubic

Graham Everest, Patrick Ingram, Shaun Stevens

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article

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Abstract

We show that for an elliptic divisibility sequence on a twist of the Fermat cubic, u3+v3=m, with m cube-free, all the terms beyond the first have a primive divisor.

Original language	English
Pages (from-to)	54-81
Number of pages	28
Journal	LMS Journal of Computation and Mathematics
Volume	12
DOIs	https://doi.org/10.1112/S1461157000000024
Publication status	Published - 4 Mar 2009

Access to Document

10.1112/S1461157000000024

fermat.pdfAccepted author manuscript, 353 KB
fermat.dviOther version, 208 KB

http://arxiv.org/abs/math.NT/0703553

Cite this

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abstract = "We show that for an elliptic divisibility sequence on a twist of the Fermat cubic, u3+v3=m, with m cube-free, all the terms beyond the first have a primive divisor.",

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