Distribution of Large Gaps Between Primes
Scott Funkhouser, Daniel A. Goldston, and Andrew H. Ledoan
TL;DR
This paper surveys conditional results on large prime gaps and explores how the Hardy-Littlewood prime k-tuples conjecture can be applied to understand their distribution.
Contribution
It provides a comprehensive overview of existing results and discusses the application of a major conjecture to the study of large prime gaps.
Findings
Conditional results on large prime gaps summarized
Application of Hardy-Littlewood conjecture analyzed
Insights into prime gap distribution discussed
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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Taxonomy
TopicsAnalytic Number Theory Research