A Pair of numbers and such that

where is the Divisor Function. Beck and Najar (1977) found 11 augmented amicable pairs.

**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.

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1999-05-25