Dickson (1913, 1952) defined an amicable triple to be a Triple of three numbers such that
A second definition (Guy 1994) defines an amicable triple as a Triple such that
See also Amicable Pair, Amicable Quadruple
References
Dickson, L. E. ``Amicable Number Triples.'' Amer. Math. Monthly 20, 84-92, 1913.
Dickson, L. E. History of the Theory of Numbers, Vol. 1: Divisibility and Primality. New York: Chelsea, p. 50, 1952.
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag,
p. 59, 1994.
Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, p. 156, 1979.
Mason, T. E. ``On Amicable Numbers and Their Generalizations.'' Amer. Math. Monthly 28, 195-200, 1921.
Weisstein, E. W. ``Sociable and Amicable Numbers.'' Mathematica notebook Sociable.m.
© 1996-9 Eric W. Weisstein