Unitary Amicable Pair
A pair of numbers 
and 
such that
 |
where 
is the unitary
divisor function. 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;
Pedersen).
On Jan. 30, 2004, Y. Kohmoto discovered the largest known unitary amicable pair, where each member has 317 digits.
Kohmoto calls a unitary amicable pair whose members are squareful a proper unitary amicable pair.
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