Consecutive Integers with Same Divisor Sum/Examples

Examples of Consecutive Integers with Same Sigma
Let $\sigma: \Z_{>0} \to \Z_{>0}$ denote the $\sigma$ function: the sum of all the positive integer divisors of $n$.

The following are solutions to the equation:
 * $\sigma \left({n}\right) = \sigma \left({n + 1}\right)$