A General Conclusion on Lucas Numbers of the Form px^(2),Where p Is Prime

作     者：Zhou Chizhong（BasicCourses Department） 

出 版 物：《岳阳大学学报》 (Journal of Hunan Institute of Science and Technology(Natural Sciences))

年 卷 期：1995年第11卷第2期

页      面：10-16页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：AND PHRASES Lucas number 1991 AMS SUBJECT CLASSIFICATION CODE 11B39 

摘      要：ABSTRACT． Led。 be the n^(th) Lucas number， n0． Let p be an odd prime． In this paperwe prove a general theorem． According to the theorem we give an algorithm by using whichthe equationl-(n)＝px^(2) can be solved for arbitrary given *** example，we find its all solutionsfor 1000p40000． By the end of the paper an Interestingconjecture Is presented．