Primitive divisors on twists of the Fermat cubic

Abstract

We show that for an elliptic divisibility sequence on a twist of the Fermat cubic, u^3+v^3=m, with m cube-free, all the terms beyond the first have a primitive divisor.

33 pages, 4 figures

References in corpus (2)

• Primitive divisors of elliptic divisibility sequences
• The sign of an elliptic divisibility sequence