# The Product $e \pi$ Is Irrational

## TL;DR

This paper proves that the product of the mathematical constants e and pi is irrational, contributing to the understanding of their algebraic properties.

## Contribution

It establishes the irrationality of e times pi, a previously unresolved question in number theory.

## Key findings

- e pi is irrational
- Supports the conjecture about the irrationality of certain transcendental products
- Advances knowledge on the algebraic independence of mathematical constants

## Abstract

This note shows that the product $e \pi$ of the natural base $e$ and the circle number $\pi$ is an irrational number.