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On the Diophantine Equation X2 + 13K = YN


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1 A.T.N. Laboratory, USTHB University Algiers, Algeria
     

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The object of this paper is to find all solutions of the dio-phantine equation x2 + 13k = yn, in positive integers x, y with n ≥ 3.

Keywords

Primitive Divisor Theorem of Carmicheal, Theorem of Catalan, Nagell Equation
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  • On the Diophantine Equation X2 + 13K = YN

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Authors

Abdelkader Hamtat
A.T.N. Laboratory, USTHB University Algiers, Algeria
Djilali Behloul
A.T.N. Laboratory, USTHB University Algiers, Algeria

Abstract


The object of this paper is to find all solutions of the dio-phantine equation x2 + 13k = yn, in positive integers x, y with n ≥ 3.

Keywords


Primitive Divisor Theorem of Carmicheal, Theorem of Catalan, Nagell Equation

References