4 papers
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 $$ \frac{4}{p} = \frac{1}{x}+\frac…
math.NT2024
Prime Gaps In The Gaussian Integers
Kyle Bradford, James Taylor, George Volz
In this paper we create a definition for prime gaps in the Gaussian integers using a boxcar metric. From this we used numerical methods to derive an asymptotic upper bound for the…
math.NT2024
Elemental Patterns from the Erdős Straus Conjecture
Kyle Bradford
This paper makes the following conjecture: For every prime there exists a positive integer with $\left\lceil \frac{p}{4} \right\rceil \leq x \leq \left\lceil \frac{p}{2} \r…
math.NT2019
A note on the Erdő-Straus Conjecture
Kyle Bradford
This paper makes a fundamental assertion about the Erdős-Straus conjecture. Suppose that for a prime there exists with so that $$ \frac…