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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…