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On the infinitude of Prime $k$-tuples

Published 25 Jun 2014 in math.NT | (1406.6619v2)

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 $\mathcal{H}_k={h_1,\ldots,h_k}$ for each $k$.

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