Perfect repdigits
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- by Kevin Broughan, Sergio Guzman Sanchez and Florian Luca PDF
- Math. Comp. 82 (2013), 2439-2459 Request permission
Abstract:
Here, we give an algorithm to detect all perfect repdigits in any base $g>1$. As an application, we find all such examples when $g\in [2,\ldots ,333]$, extending a calculation from [2]. In particular, we demonstrate that there are no odd perfect repdigits for this range of bases.References
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Additional Information
- Kevin Broughan
- Affiliation: Department of Mathematics, University of Waikato, Hamilton 3216, New Zealand
- Email: kab@waikato.ac.nz
- Sergio Guzman Sanchez
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autonoma de México, C.P. 58089, Morelia, Michoacán, México
- Email: sguzman@matmor.unam.mx
- Florian Luca
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autonoma de México, C.P. 58089, Morelia, Michoacán, México
- MR Author ID: 630217
- Email: fluca@matmor.unam.mx
- Received by editor(s): March 3, 2011
- Received by editor(s) in revised form: June 9, 2011, August 9, 2011, September 5, 2011, December 14, 2011, December 22, 2011, January 11, 2012, and January 24, 2012
- Published electronically: March 18, 2013
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 82 (2013), 2439-2459
- MSC (2010): Primary 11A63, 11A05, 11A25
- DOI: https://doi.org/10.1090/S0025-5718-2013-02682-8
- MathSciNet review: 3073209