Lucas numbers of the form PX2, where P is prime

Let Ln denote the nth Lucas number, where n is a natural number. Using elementary techniques, we find all solutions of the equation: Ln=px2 where p is prime and p<1000.

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Bibliographic Details
Main Author: Neville Robbins
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000935
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author Neville Robbins
author_facet Neville Robbins
author_sort Neville Robbins
collection DOAJ
description Let Ln denote the nth Lucas number, where n is a natural number. Using elementary techniques, we find all solutions of the equation: Ln=px2 where p is prime and p<1000.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1991-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7f7f0aca84ca40fab9989cc7fc86b4072025-02-03T05:53:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114469770310.1155/S0161171291000935Lucas numbers of the form PX2, where P is primeNeville Robbins0Mathematics Dept., San Francisco State University, San Francisco 94132, CA, USALet Ln denote the nth Lucas number, where n is a natural number. Using elementary techniques, we find all solutions of the equation: Ln=px2 where p is prime and p<1000.http://dx.doi.org/10.1155/S0161171291000935Lucas number.
spellingShingle Neville Robbins
Lucas numbers of the form PX2, where P is prime
International Journal of Mathematics and Mathematical Sciences
Lucas number.
title Lucas numbers of the form PX2, where P is prime
title_full Lucas numbers of the form PX2, where P is prime
title_fullStr Lucas numbers of the form PX2, where P is prime
title_full_unstemmed Lucas numbers of the form PX2, where P is prime
title_short Lucas numbers of the form PX2, where P is prime
title_sort lucas numbers of the form px2 where p is prime
topic Lucas number.
url http://dx.doi.org/10.1155/S0161171291000935
work_keys_str_mv AT nevillerobbins lucasnumbersoftheformpx2wherepisprime