The Uniform Primality Conjecture for the Twisted Fermat Cubic

Details The Uniform Primality Conjecture for the Twisted Fermat Cubic The Uniform Primality Conjecture for the Twisted Fermat Cubic

2010-03-10

arxiv.org/abs/1003.2131v2

Mathematics

Number Theory

2 figures, 21 pages

Scientific paper

On the twisted Fermat cubic, an elliptic divisibility sequence arises as the
sequence of denominators of the multiples of a single rational point. We prove
that the number of prime terms in the sequence is uniformly bounded. When the
rational point is the image of another rational point under a certain
3-isogeny, all terms beyond the first fail to be primes.

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