Prime Lehmer and Lucas numbers with composite indices

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00395284" target="_blank" >RIV/67985840:_____/13:00395284 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Prime Lehmer and Lucas numbers with composite indices

Original language description

Let R(L,M) and U(P,Q) denote the Lehmer and Lucas sequences, respectively. It is shown that if R(L,M) and U(P,Q) are nondegenerate, then Rn(L,M) and Un(P,Q) can be prime for composite n only if n 2 {4, 6, 8, 9, 10, 14, 15, 21, 25, 26, 49, 65}. Moreover,all instances in which Rn(L,M) or Um(P,Q) are prime are explicitly given when n 2 {14, 15, 21, 26, 49, 65} and m 2 {6, 8, 10, 15, 25, 26, 65}.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

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

Name of the periodical

Fibonacci Quarterly

ISSN

0015-0517

e-ISSN

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Volume of the periodical

53

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

21

Pages from-to

194-214

UT code for WoS article

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EID of the result in the Scopus database

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