A note on twin practical numbers

Authors

  • 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.

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Published

2004-02-01

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Section

Articoli