Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Carmichael numbers in the sequence $(2^n k+1)_{n\ge 1}$
HTML articles powered by AMS MathViewer

by Javier Cilleruelo, Florian Luca and Amalia Pizarro-Madariaga PDF
Math. Comp. 85 (2016), 357-377 Request permission

Abstract:

We prove that for each odd number $k$, the sequence $(k2^n+1)_{n\ge 1}$ contains only a finite number of Carmichael numbers. We also prove that $k=27$ is the smallest value for which such a sequence contains some Carmichael number.
References
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2010): 11A51, 11J86, 11J87
  • Retrieve articles in all journals with MSC (2010): 11A51, 11J86, 11J87
Additional Information
  • Javier Cilleruelo
  • Affiliation: Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049, Madrid, España
  • MR Author ID: 292544
  • Email: franciscojavier.cilleruelo@uam.es
  • Florian Luca
  • Affiliation: School of Mathematics, University of the Witwatersrand, P. O. Box Wits 2050, South Africa
  • MR Author ID: 630217
  • Email: fluca@wits.ac.za
  • Amalia Pizarro-Madariaga
  • Affiliation: Instituto de Matemáticas, Universidad de Valparaiso, Chile
  • Email: amalia.pizarro@uv.cl
  • Received by editor(s): August 12, 2013
  • Received by editor(s) in revised form: July 22, 2014, and July 29, 2014
  • Published electronically: June 15, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Math. Comp. 85 (2016), 357-377
  • MSC (2010): Primary 11A51, 11J86, 11J87
  • DOI: https://doi.org/10.1090/mcom/2982
  • MathSciNet review: 3404453