On the Sum of Reciprocals of Amicable Numbers

Authors

Jonathan Bayless, Husson University
Dominic Klyve, Central Washington UniversityFollow

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.

Comments

This article was originally published in Integers. The full-text article from the publisher can be found here.

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.