Category:Definitions/Amicable Pairs
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This category contains definitions related to Amicable Pairs.
Related results can be found in Category:Amicable Pairs.
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 "Definitions/Amicable Pairs"
The following 6 pages are in this category, out of 6 total.