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
Mathematics Dept., San Francisco State University, San Francisco 94132, CA, USA
Received 1 February 1989; Revised 8 February 1990
Copyright © 1991 Neville Robbins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.