A note on twin practical numbers

  • Giuseppe Melfi

Abstract

A positive integer m is a practical number if every positive integer n < m is a sum of distinct divisors of m. Let P_2 (x) be the counting function of the pairs (m, m + 2) of twin practical numbers. Margenstern gave a conjecture on P_2 (x). We prove a new result.
Published
2004-02-01
Section
Articoli