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December 2005 On a result of Flammenkamp-Luca concerning noncototient sequence
Aleksander Grytczuk, Barbara Medryk
Tsukuba J. Math. 29(2): 533-538 (December 2005). DOI: 10.21099/tkbjm/1496164969

Abstract

Let $\varphi(n)$ be the Euler totient function of $n$. A positive integer $m$ is called a noncototient if the equation $n-\varphi(n)=m$ has no solution in positive integers $n$. The sequence $(2^{k}p)_{k=1}^{\infty}$ which is noncototient for some prime $p$ will be called as Sierpiński's sequence. In this paper we prove some interesting properties of the Sierpiński sequence given in the Theorem 1, 2, 3.

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Aleksander Grytczuk. Barbara Medryk. "On a result of Flammenkamp-Luca concerning noncototient sequence." Tsukuba J. Math. 29 (2) 533 - 538, December 2005. https://doi.org/10.21099/tkbjm/1496164969

Information

Published: December 2005
First available in Project Euclid: 30 May 2017

zbMATH: 1090.11003
MathSciNet: MR2177025
Digital Object Identifier: 10.21099/tkbjm/1496164969

Rights: Copyright © 2005 University of Tsukuba, Institute of Mathematics

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Vol.29 • No. 2 • December 2005
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