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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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 $(2^n k+1)_{n\ge 1}$
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by Javier Cilleruelo, Florian Luca and Amalia Pizarro-Madariaga PDF
Math. Comp. 85 (2016), 357-377 Request permission


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.
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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:
  • Florian Luca
  • Affiliation: School of Mathematics, University of the Witwatersrand, P. O. Box Wits 2050, South Africa
  • MR Author ID: 630217
  • Email:
  • Amalia Pizarro-Madariaga
  • Affiliation: Instituto de Matemáticas, Universidad de Valparaiso, Chile
  • Email:
  • 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:
  • MathSciNet review: 3404453