Journal of Integer Sequences, Vol. 16 (2013), Article 13.5.5

On the Middle Prime Factor of an Integer


Jean-Marie De Koninck
Département de Mathématiques
Université Laval
Québec G1V 0A6
Canada

Florian Luca
Fundación Marcos Moshinsky
UNAM
Circuito Exterior C.U.
Apdo. Postal 70-543
Mexico D.F. 04510
Mexico

Abstract:

Given an integer n ≥ 2, let pm(n) denote the middle prime factor of n. We obtain an estimate for the sum of the reciprocals of pm(n) for n ≤ x.

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Received March 2 2013; revised version received May 13 2013. Published in Journal of Integer Sequences, May 16 2013.

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