Integers Differing by 2 with Same Divisor Sum/Examples/284

Example of Integers Differing by 2 with Same Divisor Sum

Let $\sigma_1: \Z_{>0} \to \Z_{>0}$ denote the divisor sum function.

Then:

$\map {\sigma_1} {284} = \map {\sigma_1} {286} = 504$

Proof

From $\sigma_1$ of $284$:

$\map {\sigma_1} {284} = 504$

From $\sigma_1$ of $286$:

$\map {\sigma_1} {286} = 504$

Hence the result.

$\blacksquare$