5 problems

Let ${\mathcal W}=(W_n)_{n\ge0}$ be an elliptic divisibility sequence and let $p$ be a prime. For an exponent $N=N_p\ge1$, consider the subsequences indexed by $mp^{kN}$ for each…

Let $E$ be a fixed elliptic curve over $\mathbb{Q}$, let $P\in E(\mathbb{Q})$ be a rational point, and let $m$ be the fixed integer indexing the generalized elliptic Fermat numbers…

Let $E$ be a fixed elliptic curve over $\mathbb{Q}$, let $P\in E(\mathbb{Q})$ be a rational point, and let $F=(F_n)_{n\in\mathbb{N}}$ be the associated sequence of elliptic Fermat…

Let $D=(D_n)_{n\in\mathbb{N}}$ be an elliptic divisibility sequence. Primality conjecture. The sequence $D$ contains only finitely many prime terms. Everest, Miller, and Stephens p…

Let $B=(B_n)$ be an elliptic divisibility sequence generated by a rational point on an elliptic curve in minimal form. A prime term is a term $B_n/B_1$ that is prime. The uniform p…