Some Modular Considerations Regarding Odd Perfect Numbers

26 Feb 2020 Dris Jose Arnaldo Bebita Diego Immanuel Tobias San

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 $\sigma(m^2) \equiv 1 \pmod 4$ holds if and only if $p \equiv k \pmod 8$... (read more)

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