SOME DIVISIBILITY PROPERTIES OF GENERALIZED REPUNITS

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

SOME DIVISIBILITY PROPERTIES OF GENERALIZED REPUNITS

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

SOME DIVISIBILITY PROPERTIES OF GENERALIZED REPUNITS

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

International journal of pure and applied mathematics

ISSN

1311-8080

e-ISSN

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Svazek periodika

81

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

BG - Bulharská republika

Počet stran výsledku

6

Strana od-do

433-438

Kód UT WoS článku

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EID výsledku v databázi Scopus

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