Graham Everest, Ouamporn Phuksuwan, Shaun Stevens
Preprint (March 2010). dvi pdf arXiv

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.