A pair of numbers 
and 
such that
 |
where 
is the divisor function. Beck and Najar (1977)
found 11 augmented amicable pairs.
Augmented Amicable Pair
See also
Amicable Pair, Divisor Function, Quasiamicable PairExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Augmented Amicable PairCite this as:
Weisstein, Eric W. "Augmented Amicable Pair." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AugmentedAmicablePair.html