Le Matematiche (May 2002)

A note on twin practical numbers

  • Giuseppe Melfi

Journal volume & issue
Vol. 57, no. 1
pp. 111 – 117

Abstract

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A positive integer m is a practical number if every positive integer n 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.