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arXiv · 2608.31126

Bounded gaps between primes

Julia Stadlmann
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Abstract

Polymath8b proved that $H_1 = \liminf (p_{n+1}-p_n) \leq 246$. In this paper we show how the Bombieri-Vinogradov theorem can be combined with newer equidistribution estimates for smooth moduli to obtain the improved bound $H_1 \leq 240$.

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Julia Stadlmann. 2026-08-31. Bounded gaps between primes. https://arxiv.org/abs/2608.31126

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