Geodesic
Infinite families of noncototients
Colloquium Mathematicum, Tome 86 (2000) no. 1, pp. 37-41.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For any positive integer $n$ let ϕ(n) be the Euler function of n. A positive integer $n$ is called a noncototient if the equation x-ϕ(x)=n has no solution x. In this note, we give a sufficient condition on a positive integer k such that the geometrical progression $(2^mk)_{m ≥ 1}$ consists entirely of noncototients. We then use computations to detect seven such positive integers k.
DOI : 10.4064/cm-86-1-37-41

A. Flammenkamp 1 ; F. Luca 1

1 
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A. Flammenkamp; F. Luca. Infinite families of noncototients. Colloquium Mathematicum, Tome 86 (2000) no. 1, pp. 37-41. doi : 10.4064/cm-86-1-37-41. http://geodesic.mathdoc.fr/articles/10.4064/cm-86-1-37-41/

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