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Primitive divisors on twists of Fermat’s cubic. (English) Zbl 1252.11049

Summary: 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.

MSC:

11G05 Elliptic curves over global fields
11A41 Primes

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References:

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