info prev up next book cdrom email home

Unitary Amicable Pair

A Pair of numbers $m$ and $n$ such that


where $\sigma^*(n)$ is the sum of Unitary Divisors. Hagis (1971) and García (1987) give 82 such pairs. The first few are (114, 126), (1140, 1260), (18018, 22302), (32130, 40446), ... (Sloane's A002952 and A002953).


García, M. ``New Unitary Amicable Couples.'' J. Recr. Math. 19, 12-14, 1987.

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 57, 1994.

Hagis, P. ``Relatively Prime Amicable Numbers of Opposite Parity.'' Math. Comput. 25, 915-918, 1971.

Sloane, N. J. A. Sequences A002952/M5372 and A002953/M5389 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

© 1996-9 Eric W. Weisstein