# Could Euler have conjectured the prime number theorem?

## TL;DR

This paper explores how Euler's mathematical knowledge could have led him to conjecture the Prime Number Theorem and examines reasons why he might not have formulated it.

## Contribution

It provides a historical analysis of Euler's insights and reasoning related to the Prime Number Theorem, offering new perspectives on his potential conjectures.

## Key findings

- Euler's work contained clues to the Prime Number Theorem
- Speculations on Euler's reasoning process regarding prime distribution
- Insights into why Euler did not explicitly conjecture the theorem

## Abstract

In this article, we investigate how Euler might have been led to conjecture the Prime Number Theorem, based on what he knew. We also speculate on why he did not do so.