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arXiv · 2407.05651

Primes in almost all short intervals

Runbo Li
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Abstract

The author sharpens a result of Jia (1996), showing that the interval $[n, n+n^{\frac{1}{21.5}+\varepsilon}]$ contains prime numbers for almost all $n$. Watt's mean value bound, a delicate sieve decomposition and more accurate estimates for integrals are used to good effect.

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Runbo Li. 2024-07-08. Primes in almost all short intervals. https://arxiv.org/abs/2407.05651

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