# Further verification and empirical evidence for the Erd\H{o}s-Straus conjecture

## TL;DR

This paper offers empirical support for the Erdős-Straus conjecture by extending computational verification up to 10^{18} and analyzing the solution-counting function for prime numbers.

## Contribution

It advances the empirical verification of the conjecture by increasing the computational bounds and evaluating the solution-counting function.

## Key findings

- Verification up to 10^{18}
- Analysis of the solution-counting function
- Empirical evidence supporting the conjecture

## Abstract

We provide empirical evidence for the Erd\H{o}s-Straus conjecture by improving computational bounds to $10^{18}$ and by evaluating the solution-counting function $f(p)$ for this conjecture.