Document Type
Conference Proceeding
Department or Administrative Unit
Mathematics
Publication Date
6-2011
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.
Recommended Citation
Bayless, J., & Klyve, D. (2011). On the Sum of Reciprocals of Amicable Numbers. Integers, 11(3).
Journal
Integers
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Comments
This article was originally published in Integers. The full-text article from the publisher can be found here.