2 problems

For $q,m \in \mathbb{N}$, let $p_n$ denote the $n$-th prime and define … for $\mathbf{a} \in \prod_{i=1}^m (\mathbb{Z}/q\mathbb{Z})^\times$. Dickson's conjecture. For any…

Consecutive-prime conjecture. For every fixed $\varepsilon>0$,