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arxiv: 1306.2032 · v1 · pith:SCERKMOYnew · submitted 2013-06-09 · 🧮 math.NT

A note on the Polignac numbers

classification 🧮 math.NT
keywords polignacadmissiblecontainsldotsleastnotenumbernumbers
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Suppose that $k\geq 3.5\times 10^6$ and $\hH=\{h_1,\ldots,h_{k_0}\}$ is admissible. Then for any $m\geq 1$, the set $$ \{m(h_j-h_i):\,h_i<h_j\} $$ contains at least one Polignac number.

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