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Volume 2, Issue 3, Article 38

Some Properties of the Series of Composed Numbers

Authors: Laurentiu Panaitopol,
Keywords: Prime Numbers, Composed Numbers, Asymptotic Behavior, Inequalities, Sums and Series.
Date Received: 27/03/01
Date Accepted: 11/06/01
Subject Codes:

11A25,11N05

Editors: L�szl� T�th,
Abstract:

$ c_n$ denotes the $ n$-th composed number, one proves inequalities involving $ c_n, p_{c_n}, c_{p_n}$, and shows that the sequences $ (p_n)_{nge 1}$ and$ (c_{p_n})_{nge 1}$ are neither convex nor concave.

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