# Perfect Powers: Pillai's works and their developments

## TL;DR

This paper reviews Pillai's contributions to Diophantine equations, discusses subsequent developments, and explores open problems in the field, providing a comprehensive overview of the topic.

## Contribution

It offers a detailed analysis of Pillai's work and highlights recent advancements and unresolved questions in Diophantine number theory.

## Key findings

- Summarizes Pillai's key results in Diophantine equations
- Discusses recent progress in related open problems
- Identifies future research directions in the field

## Abstract

After a short introduction to Pillai's work on Diophantine questions, we quote some later developments and we discuss related open problems.