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Primitive Divisors on Twists of Fermat's Cubic

Published online by Cambridge University Press:  01 February 2010

Graham Everest ,
Patrick Ingram  and
Shaun Stevens
Graham Everest
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK, g.everest@uea.ac.uk
Patrick Ingram
Affiliation:
Department of Mathematics, University of Toronto, Canada, M5S 2E4, pingram@math.utoronto.ca
Shaun Stevens
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK, shaun.stevens@uea.ac.uk

Abstract

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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 primitive divisor.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 12 , 2009 , pp. 54 - 81
Copyright
Copyright © London Mathematical Society 2009

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