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arXiv · 2304.08736

Sparse sets that satisfy the prime number theorem

Olivier Bordellès·Randell Heyman·Dion Nikolic
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Abstract

We investigate various sparse sets that satisfy the prime number theorem. The sparsest of these sets, $\{\lfloor x/n^t \rfloor:n \le x\}$, has density approaching $1/x$ as $t$ approaches infinity.

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Olivier Bordellès, Randell Heyman, Dion Nikolic. 2024-03-15. Sparse sets that satisfy the prime number theorem. https://arxiv.org/abs/2304.08736

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