A Statistical Approach to Prime Gaps and Andrica's Conjecture

2017/02/14 by Sameen Ahmed Khan, Khan, Sameen Ahmed
Mathematics · #11A41 #11N05 #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.1702.08547

openalex publication_date 2017/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine the prime gaps using a statistical approach. It is first shown that the Andrica's conjecture is true for half or more cases. Using the arguments of averages, it is further shown that Andrica's conjecture is true. We further obtain a precise bound for the Andrica's expression.

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