On the Sum of Reciprocals of Amicable Numbers

Abstract

Two numbers m and n are considered amicable if the sum of their proper divisors, s(n) and s(m), satisfy s(n) = m and s(m) = n. In 1981, Pomerance showed that the sum of the reciprocals of all such numbers, P , is a constant. We obtain both a lower and an upper bound on the value of P .

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Cite this paper

@inproceedings{Bayless2011OnTS, title={On the Sum of Reciprocals of Amicable Numbers}, author={Jonathan Bayless and Dominic Klyve}, year={2011} }