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arXiv · 2510.17065

On the Maximal Gap between Primes

Cheng-Ting Wang
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Abstract

In this paper, we show some results about the gap between a prime number and its consecutive prime number for large enough prime numbers. We show that the gap between a prime number $p_n$ and its consecutive prime number is not larger than $2\log^2{p_n}$. We also show that the result implies the existence of a prime number in a certain type of interval for large enough numbers as a consequence.

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Cheng-Ting Wang. 2025-10-20. On the Maximal Gap between Primes. https://arxiv.org/abs/2510.17065

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