Integers Differing by 2 with Same Divisor Sum/Examples

Examples of Integers Differing by 2 with Same Divisor Sum

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

The following are solutions to the equation:

$\map {\sigma_1} n = \map {\sigma_1} {n + 2}$

$\sigma_1$ of $33$ equals $\sigma_1$ of $35$

$\map {\sigma_1} {33} = \map {\sigma_1} {35} = 48$

$\sigma_1$ of $54$ equals $\sigma_1$ of $56$

$\map {\sigma_1} {54} = \map {\sigma_1} {56} = 120$

$\sigma_1$ of $284$ equals $\sigma_1$ of $286$

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

$\sigma_1$ of $366$ equals $\sigma_1$ of $368$

$\map {\sigma_1} {366} = \map {\sigma_1} {368} = 744$