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ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn

Published online by Cambridge University Press:  01 January 2008

FADWA S. ABU MURIEFAH ,
FLORIAN LUCA  and
ALAIN TOGBÉ
FADWA S. ABU MURIEFAH
Affiliation:
Mathematics Department, Riyadh University for Girls, P.O. Box 60561 Riyadh 11555Saudi Arabia e-mail: abumuriefah@yahoo.com
FLORIAN LUCA
Affiliation:
Instituto de Matemáticas UNAM, Campus Morelia Apartado Postal 27-3 (Xangari), C.P. 58089, Morelia, Michoacán, Mexico e-mail: fluca@matmor.unam.mx
ALAIN TOGBÉ
Affiliation:
Mathematics Department, Purdue University North Central, 1401 S, U.S. 421, Westville IN 46391USA e-mail: atogbe@pnc.edu
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Abstract

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In this note, we find all the solutions of the Diophantine equation x2 + 5a 13b = yn in positive integers x, y, a, b, n≥ 3 with x and y coprime.

Keywords

11D6111Y50
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 1 , January 2008 , pp. 175 - 181
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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