Some Modular Considerations Regarding Odd Perfect Numbers

Jose Arnaldo Bebita Dris, Immanuel Tobias San Diego

Let $p^k{m}^2$ be an odd perfect number with special prime $p$. In this article, we provide an alternative proof for the biconditional that $\sigma (m^2)\equiv 1(\mathrm{mod}4)$ holds if and on…