Some of Erd\H os' unconventional problems in number theory, thirty-four years later

TL;DR

This paper reviews the history and recent developments of some unconventional number theory problems posed by Erdős over the past thirty-four years.

Contribution

It provides a comprehensive historical account and updates on Erdős's unconventional problems in number theory, highlighting recent progress.

Findings

Summary of Erdős's original problems

Recent advancements in the field related to these problems

Open questions and future directions

Abstract

We give an historical account, including recent progress, on some problems of Erd\H os in number theory.