## Tsukuba Journal of Mathematics

### On a result of Flammenkamp-Luca concerning noncototient sequence

#### 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.

#### Article information

Source
Tsukuba J. Math., Volume 29, Number 2 (2005), 533-538.

Dates
First available in Project Euclid: 30 May 2017

https://projecteuclid.org/euclid.tkbjm/1496164969

Digital Object Identifier
doi:10.21099/tkbjm/1496164969

Mathematical Reviews number (MathSciNet)
MR2177025

Zentralblatt MATH identifier
1090.11003

#### Citation

Grytczuk, Aleksander; Medryk, Barbara. On a result of Flammenkamp-Luca concerning noncototient sequence. Tsukuba J. Math. 29 (2005), no. 2, 533--538. doi:10.21099/tkbjm/1496164969. https://projecteuclid.org/euclid.tkbjm/1496164969