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Every positive integer is a sum of three palindromes


Authors: Javier Cilleruelo, Florian Luca and Lewis Baxter
Journal: Math. Comp.
MSC (2010): Primary 11B13, 11A63
DOI: https://doi.org/10.1090/mcom/3221
Published electronically: August 15, 2017
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Abstract: For integer $ g\ge 5$, we prove that any positive integer can be written as a sum of three palindromes in base $ g$.


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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

Florian Luca
Affiliation: School of Mathematics, University of the Witwatersrand Private Bag X3, Wits 2050, South Africa
Email: florian.luca@wits.ac.za

Lewis Baxter
Affiliation: School of Applied Computing, Sheridan College, 1430 Trafalgar Road, Oakville, Ontario L6H 2L1, Canada
Email: Lewis.Baxter@SheridanCollege.ca

DOI: https://doi.org/10.1090/mcom/3221
Received by editor(s): March 2, 2016
Received by editor(s) in revised form: September 27, 2016, and June 9, 2017
Published electronically: August 15, 2017
Additional Notes: The first author was supported by MINECO project MTM2014-56350-P and by ICMAT Severo Ochoa project SEV-2015-0554 (MINECO). The second author was supported in part by a start-up grant from Wits University and by an NRF A-rated researcher grant.
Article copyright: © Copyright 2017 American Mathematical Society