Category:Amicable Pairs/Examples
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This category contains examples of Amicable Pair.
Definition 1
$m$ and $n$ are an amicable pair if and only if:
- the aliquot sum of $m$ is equal to $n$
and:
- the aliquot sum of $n$ is equal to $m$.
Definition 2
$m$ and $n$ are an amicable pair if and only if:
- $\map {\sigma_1} m = \map {\sigma_1} n = m + n$
where $\sigma_1$ denotes the divisor sum function.
Definition 3
$m$ and $n$ are an amicable pair if and only if they form a sociable chain of order $2$.
Pages in category "Amicable Pairs/Examples"
The following 22 pages are in this category, out of 22 total.