Unitary Amicable Pair
A Pair of numbers 
and 
such that
where
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 A002952and A002953).
References
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. SequencesA002952/M5372and A002953/M5389in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
- Finite Group Z4
- Finite Group Z5
- Finite Group Z6
- Finite Group Z7
- Finite Group Z8
- Finite Mathematics
- Finite Simple Group
- Finite Simple Group Classification Theorem
- Finite-to-One Factor
- Finsler Geometry
- Finsler-Hadwiger Theorem
- Finsler Manifold
- Finsler Metric
- Finsler Space
- First-Countable Space
- First Curvature
- First Derivative Test
- First Digit Law
- First Digit Phenomenon
- First Multiplier Theorem
- Fischer Groups
- Fischer's Baby Monster Group
- Fish Bladder
- Fisher-Behrens Problem
- Fisher Index