Distribution of Large Gaps Between Primes

2018/02/21 by Scott Funkhouser, Funkhouser, Scott, Daniel A. Goldston +5 · 1 citation
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1802.07609

22 pages, 9 figures

arxiv created 2018/02/21 · openalex publication_date 2018/02/21 · arxiv updated 2018/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey some past conditional results on the distribution of large differences between consecutive primes and examine how the Hardy-Littlewood prime k-tuples conjecture can be applied to this question.

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