Integers Differing by 2 with Same Divisor Sum

Theorem
Let $\sigma_1: \Z_{>0} \to \Z_{>0}$ be the divisor sum function, defined on the strictly positive integers.

The equation:
 * $\map {\sigma_1} n = \map {\sigma_1} {n + 2}$

is satisfied by integers in the sequence:
 * $33, 54, 284, 366, 834, 848, 918, 1240, 1504, 2910, 2913, 3304, \ldots$