%0 Journal Article
%T On the infinitude of Prime $k$-tuples
%A J. LaChapelle
%J Mathematics
%D 2014
%I arXiv
%X 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 $\mathcal{H}_k=\{h_1,\ldots,h_k\}$ for each $k$.
%U http://arxiv.org/abs/1406.6619v1