Fermat's Sigma Problem

Fermat's Sigma Problem

Solve

$\begin{displaymath} \sigma(x^3)=y^2 \end{displaymath}$

and

$\begin{displaymath} \sigma(x^2)=y^3, \end{displaymath}$

where $\sigma$ is the Divisor Function.

See also Wallis's Problem

© 1996-9 Eric W. Weisstein
1999-05-26