# Distribution of Large Gaps Between Primes

**Authors:** Scott Funkhouser, Daniel A. Goldston, and Andrew H. Ledoan

arXiv: 1802.07609 · 2018-02-22

## 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.

## Key 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.

## Full text

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## Figures

12 figures with captions in the complete paper: https://tomesphere.com/paper/1802.07609/full.md

## References

21 references — full list in the complete paper: https://tomesphere.com/paper/1802.07609/full.md

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Source: https://tomesphere.com/paper/1802.07609