Amicable Pair/Examples/17,296-18,416

Example of Amicable Pair
$17 \, 296$ and $18 \, 416$ are the $8$th amicable pair:
 * $\map \sigma {17 \, 296} = \map \sigma {18 \, 416} = 35 \, 712 = 17 \, 296 + 18 \, 416$

Proof
By definition, $m$ and $n$ form an amicable pair :
 * $\map \sigma m = \map \sigma n = m + n$

where $\map \sigma n$ denotes the $\sigma$ function.

Thus: