2 problems

Let $h\in\mathbb{Z}[x]$ be a nonzero polynomial, and let $X=h(\mathbb{Z})$ or $X=h(\mathcal{P})$, where $\mathcal{P}$ denotes the set of primes. For each $m\in\mathbb{N}$, let…

Intersective prime-difference conjecture. For every intersective set $R$,