On the Sum of Reciprocals of Amicable Numbers

Jonathan Bayless, Dominic Klyve

Two numbers $m$ and $n$ are considered amicable if the sum of their proper divisors, $s(n)$ and $s(m)$, satisfy $s(n)=m$ and $s(m)=n$. In 1981, Pomerance showed that the sum of…