On the quantity $m^2-p^k$ where $p^k{m}^2$ is an odd perfect number -- Part II

Jose Arnaldo Bebita Dris, Immanuel Tobias San Diego

Let $p^k{m}^2$ be an odd perfect number with special prime $p$. Extending previous work of the authors, we prove that the inequality $m<p^k$ follows from $m^2-p^k=2^{r}t$, wher…