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arXiv · 1309.0906

On a Curious Biconditional Involving Divisors of Odd Perfect Numbers

Jose Arnaldo B. Dris
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Abstract

We investigate the implications of a curious biconditional involving divisors of odd perfect numbers, if Dris conjecture that $q^k < n$ holds, where $q^k n^2$ is an odd perfect number with Euler prime $q$. We then show that this biconditional holds unconditionally. Lastly, we prove that the inequality $q<n$ holds unconditionally.

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Jose Arnaldo B. Dris. 2013-09-04. On a Curious Biconditional Involving Divisors of Odd Perfect Numbers. https://arxiv.org/abs/1309.0906

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