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arXiv · 1512.08382

The Least Prime Number in a Beatty Sequence

Jörn Steuding·Marc Technau
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Abstract

We prove an upper bound for the least prime in an irrational Beatty sequence. This result may be compared with Linnik's theorem on the least prime in an arithmetic progression.

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Jörn Steuding, Marc Technau. 2016-05-30. The Least Prime Number in a Beatty Sequence. https://doi.org/10.1016/j.jnt.2016.05.022

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