Augmented Amicable Pair
A Pair of numbers 
and 
such that
where
is the Divisor Function. Beck and Najar (1977) found 11 augmented amicable pairs.See also Amicable Pair, Divisor Function, Quasiamicable Pair
References
Beck, W. E. and Najar, R. M. ``More Reduced Amicable Pairs.'' Fib. Quart. 15, 331-332, 1977. Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 59, 1994.
- Chasles's Polars Theorem
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