Primitive Divisors of Certain Elliptic Divisibility Sequences

Paul Voutier, Minoru Yabuta

Let $P$ be a non-torsion point on the elliptic curve $E_a:y^2=x^3+ax$. We show that if $a$ is fourth-power-free and either $n>2$ is even or $n>1$ is odd with $x(P)<0$ or $x(…