The "bounded gaps between primes" Polymath project - a retrospective

D. H. J. Polymath

For any $m\ge 1$, let $H_m$ denote the quantity $H_m:={\mathrm{liminf}}_{n\to \infty }(p_{n+m}-p_n)$, where $p_n$ denotes the $n^{\mathrm{th}}$ prime; thus for instance the twin p…