%0 Journal Article %T The Uniform Primality Conjecture for the Twisted Fermat Cubic %A Graham Everest %A Ouamporn Phuksuwan %A Shaun Stevens %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1003.2131v2