2015Unpublished venueRequires access

The Smarandache Perfect Numbers

LE Mao-hua

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Abstract

§1. Introduction and result Let N be the set of all positive integer. For any positive integer a, let S(a) denote the Smarandache function of a. Let n be a postivie integer. If n satisfy∑ d|n S(d) = n+ 1 + S(n), (1)

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§1. Introduction and result Let N be the set of all positive integer. For any positive integer a, let S(a) denote the Smarandache function of a. Let n be a postivie integer. If n satisfy∑ d|n S(d) = n+ 1 + S(n), (1)

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Available abstract

§1. Introduction and result Let N be the set of all positive integer. For any positive integer a, let S(a) denote the Smarandache function of a. Let n be a postivie integer. If n satisfy∑ d|n S(d) = n+ 1 + S(n), (1)

Key concepts: Mathematics, Number theory, Combinatorics

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