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

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


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 nx.

Full version:  pdf,    dvi,    ps,    latex    

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

Return to Journal of Integer Sequences home page