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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 697-703
doi:10.1155/S0161171291000935

Lucas numbers of the form PX2, where P is prime

Neville Robbins

Mathematics Dept., San Francisco State University, San Francisco 94132, CA, USA

Abstract

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.