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math.NT2026

A solution to the Straus-Erdős conjecture

Kyle Bradford

This paper outlines a solution to the Straus Erdős Conjecture. Namely for each prime there exists positive integers so that $$ \frac{4}{p} = \frac{1}{x}+\fra…

math.NT2024

Prime Gaps In The Gaussian Integers

Kyle Bradford, James Taylor, George Volz

In this paper we create a definition for prime gaps in the Gaussian integers using a boxcar metric. From this we used numerical methods to derive an asymptotic upper bound for the…

math.NT2024

Elemental Patterns from the Erdős Straus Conjecture

Kyle Bradford

This paper makes the following conjecture: For every prime there exists a positive integer with $\left\lceil \frac{p}{4} \right\rceil \leq x \leq \left\lceil \frac{p}{2} \r…