8 problems

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…

Wu's divisibility-by-3 conjecture. If $c(n)=0$, then $n$ is divisible by $3$.

OEIS A256480 conjecture.

Wu's divisibility-by-3 conjecture. If $n$ is not a multiple of $11$ with an even number of digits and $a(n)=0$, then $n$ is a multiple of $3$.

Let $m$ be a positive integer. The binomial-sum primality conjecture. If $m\neq30$ and … then $4m-1$ is prime. If … then $4m+1$ is prime. The authors report checking $m\leq1500$ wi…

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…