SOME DIVISIBILITY PROPERTIES OF GENERALIZED REPUNITS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F12%3A50000595" target="_blank" >RIV/62690094:18470/12:50000595 - isvavai.cz</a>

Result on the web

<a href="http://www.ijpam.eu/contents/2012-81-3/index.html" target="_blank" >http://www.ijpam.eu/contents/2012-81-3/index.html</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

SOME DIVISIBILITY PROPERTIES OF GENERALIZED REPUNITS

Original language description

We will concentrate on properties of generalized repunits Rn(k), where k is any nonnegative integer and n is any positive integer greater than 1. The term repunit was coined by Beiler in 1966. A repunit Rn is any integer written in decimal form as a string of 1´s. The great effort was devoted to testing of primality and finding all their prime factors. Snyder extended the notation repunit to one in which for some integer b>3 in 1982. It is easy to see that if n is divisible by a, then Rn(b) is divisibleby Ra(b). The other known facts on the divisibility and primality of generalized repunits were found by Dubner in 2002 and Jaroma in 2007. In this paper a new result on divisibility of generalized repunits is stated.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International journal of pure and applied mathematics

ISSN

1311-8080

e-ISSN

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Volume of the periodical

81

Issue of the periodical within the volume

3

Country of publishing house

BG - BULGARIA

Number of pages

6

Pages from-to

433-438

UT code for WoS article

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EID of the result in the Scopus database

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