The Uniform Primality Conjecture for the Twisted Fermat Cubic
Number Theory
2010-04-14 v2
Abstract
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.
Cite
@article{arxiv.1003.2131,
title = {The Uniform Primality Conjecture for the Twisted Fermat Cubic},
author = {Graham Everest and Ouamporn Phuksuwan and Shaun Stevens},
journal= {arXiv preprint arXiv:1003.2131},
year = {2010}
}
Comments
2 figures, 21 pages