Large gaps between primes in arithmetic progressions -- an empirical approach

TL;DR

This paper presents extensive computational results on the sizes of gaps between primes in arithmetic progressions and reports new findings on the largest known least primes in such progressions.

Contribution

It provides the first comprehensive empirical data on prime gaps in arithmetic progressions and introduces new large-scale numerical results.

Findings

New data on prime gaps in arithmetic progressions.

Identification of exceptionally large least primes in progressions.

Extensive computational verification of prime distribution patterns.

Abstract

An overview of the results of new exhaustive computations of gaps between primes in arithmetic progressions is presented. We also give new numerical results for exceptionally large least primes in arithmetic progressions.