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On the simple numbers and the mean value properties *.

About 3 pages (966 words)

Smarandache Notions Journal, January 1st, 2004

Abstract. A number n is called simple number if the product of its proper divisors is less than or equal to n. In this paper, we study the mean value properties of the sequence of the simple numbers, and give several interesting asymptotic formulae.

Key words and phrases. The simple numbers ; Mean value properties; Asymptotic formula.

1. Introduction

A number n is called simple number if the product of its proper divisors is less than or equal to n. For example: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13,14, 15, 17, 19, 21,.... In problem 23 of [1], Professor F.Smarandach asked us to study the pr...

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Hongyan, Liu; Wenpeng, Zhang. Smarandache Notions Journal, January 1st, 2004. On the simple numbers and the mean value properties *.. Content provided by HighBeam Research.



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