Predicting maximal gaps in sets of primes

Alexei Kourbatov, Marek Wolf

Let $q>r\ge 1$ be coprime integers. Let ${\mathbb{P}}_c={\mathbb{P}}_c(q,r,\mathcal{H})$ be an increasing sequence of primes $p$ satisfying two conditions: (i) $p\equiv r$ (mod $q$) and…