On the infinitude of Prime $k$-tuples

Abstract

Starting with Zhang's theorem on the infinitude of prime doubles, we give an inductive argument that there exists an infinite number of prime $k$-tuples for at least one admissible set ${\mathcal{H}}_k=\{h_1,\dots ,h_k\}$ for each $k$.

updated proof

References in corpus (1)

• Exact Summatory Functions for Prime $k$-tuples