On Composite Odd Numbers k for Which 2^nk is a Noncototient for All Positive Integers n

Journal of Integer Sequences, Vol. 24 (2021), Article 21.9.6

On Composite Odd Numbers k for Which 2ⁿ k is a Noncototient for All Positive Integers n

Marcos J. González and Alberto Mendoza
Departamento de Matemáticas Puras y Aplicadas
Universidad Simón Bolívar
Sartenejas, Apartado 89000
Caracas, 1080-A
Venezuela
Florian Luca
School of Mathematics
University of the Witwatersrand
1 Jan Smuts Avenue Braamfontein
2050 Johannesburg
South Africa
and
Research Group in Algebraic Structures and Applications
King Abdulaziz University
Jeddah
Saudi Arabia
V. Janitzio Mejía Huguet
Departamento de Ciencias Básicas
Universidad Autónoma Metropolitana-Azcapotzalco
Av. San Pablo #180
Col. Reynosa Tamaulipas
C. P. 02200, Azcapotzalco DF
México

Abstract:

We provide some results relating Riesel numbers with families of cototients and noncototients.

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(Concerned with sequences A101036.)

Received March 9 2021; revised version received March 10 2021; October 15 2021. Published in Journal of Integer Sequences, October 17 2021.

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