# A Constructive Proof of Beal's Conjecture

**Authors:** Nicholas J. Daras

arXiv: 1903.03613 · 2019-03-12

## TL;DR

This paper provides a constructive proof demonstrating that the generalized Fermat equation has no non-trivial positive integer solutions, confirming Beal's Conjecture.

## Contribution

It offers a new constructive proof establishing the non-existence of solutions to Beal's Conjecture.

## Key findings

- No non-trivial positive integer solutions to the generalized Fermat equation
- Confirmation of Beal's Conjecture
- Advancement in number theory proof techniques

## Abstract

We prove that there is no non-trivial integral positive solution to the generalized Fermat equation.

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Source: https://tomesphere.com/paper/1903.03613