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arXiv · 2605.14871

On Maximal Prime Gaps

Cheng-TIng Wang
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Abstract

In this paper, we show that the gap between a prime number $p_n$ and its consecutive prime $p_{n+1}$ is on the order of $\log^2{p_n}$; consequently, we show the existence of a prime in certain types of intervals.

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Cheng-TIng Wang. 2026-09-14. On Maximal Prime Gaps. https://arxiv.org/abs/2605.14871

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