An Unimaginative Proof of Fermat's Two Squares Theorem

TL;DR

This paper presents a straightforward, easy-to-understand proof of Fermat's two squares theorem, suitable for beginners and emphasizing simplicity over complexity.

Contribution

It introduces a direct, uncomplicated proof of Fermat's two squares theorem that avoids intricate concepts, making it accessible for students new to mathematics.

Findings

Proof is simple and direct

No complex notions used

Accessible for beginners

Abstract

We give a simple direct proof of Fermat's two squares theorem. Our argument uses no intricate notions or ideas; one might say that it is a proof by careful bookkeeping. As such, the proof may be particularly easy to comprehend by students who are just starting out in math.