# Computational Experiments on $a^4+b^4+c^4+d^4=(a+b+c+d)^4$

## TL;DR

This paper explores computational methods to find non-trivial integer solutions to the equation a^4 + b^4 + c^4 + d^4 = (a + b + c + d)^4, summarizing past efforts and presenting new solutions.

## Contribution

It introduces new computational techniques and reports novel solutions to a classical Diophantine equation, expanding the known solution set.

## Key findings

- New integer solutions discovered for the equation.
- Summary of previous computational approaches.
- Enhanced algorithms for solving high-degree Diophantine equations.

## Abstract

Computational approaches to finding non-trivial integer solutions of the equation in the title are discussed. We summarize previous work and provide several new solutions.