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1. On the Sum of Reciprocals of Amicable Numbers.

Author

Bayless, Jonathan and Klyve, Dominic

Subjects
*AMICABLE numbers, *RECIPROCALS (Mathematics), *DIVISOR theory, *EULER'S numbers, *RINGS of integers, *FACTOR tables, *ZERO (The number), *MATHEMATICAL inequalities
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. [ABSTRACT FROM AUTHOR]

Published
2011
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