More on the Nonexistence of Odd Perfect Numbers of a Certain Form

Patrick Brown

Euler showed that if an odd perfect number exists, it must be of the form $N=p^{\alpha }{q}_1^{2{\beta }_1}$ $\dots$ $q_k^{2{\beta }_k}$, where $p,q_1,\dots ,q_k$ are distinct odd primes,…