Simple groups with narrow prime spectrum: Extended list

TL;DR

This paper extends previous work by classifying all non-abelian finite simple groups with the largest prime divisor of their order not exceeding 10,000, supported by accessible computational code.

Contribution

It provides a comprehensive list of such simple groups and shares the code used for the calculations, generalizing earlier results.

Findings

Identified all non-abelian finite simple groups with largest prime divisor ≤ 10,000.

Published computational code for verifying and extending the classification.

Abstract

Generalising a previous result, we determine all non-abelian finite simple groups whose order has largest prime divisor not exceeding $10^4$. The computer code for this and similar calculations is made available.