IJPAM: Volume 81, No. 3 (2012)
SOME DIVISIBILITY PROPERTIES OF
GENERALIZED REPUNITS
GENERALIZED REPUNITS
Pavel Trojovský
, Jiřı Tobiáš
Department of Mathematics
Faculty of Natural Sciences
University of Hradec Králové
Rokitanského 62, 50003 Hradec Králové, CZECH REPUBLIC



Faculty of Natural Sciences
University of Hradec Králové
Rokitanského 62, 50003 Hradec Králové, CZECH REPUBLIC
Abstract. We will concentrate on properties of generalized repunits , where
is any nonnegative integer and
is any positive integer greater than 1. In this paper a new result on divisibility of generalized repunits is stated.
Received: July 19, 2012
AMS Subject Classification: 11A51, 11A07, 11Y11
Key Words and Phrases: recurrences, repunits, divisibility, congruences
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 3