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Odd Repdigits to Small Bases Are Not Perfect

1Department of Mathematics, University of Waikato, Hamilton 3216, New Zealand

2Department of Mathematics, University of Waikato, Hamilton 3216, New Zealand

Citation Information: . Volume 12, Issue 5, Pages 841–858, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: 10.1515/integers-2012-0008, October 2012

Publication History

Received:
2010-08-12
Revised:
2011-09-14
Accepted:
2012-04-12
Published Online:
2012-10-02

Abstract.

We demonstrate, by considering each base in the range 2 through 9, that no odd repdigit with a base in that range is a perfect number.

Keywords: Perfect; Repdigit; Base

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