On the diophantine equation x2 + 5a. pb = yn
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Date
2017-04-12
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University Nis
Abstract
In this paper, all the solutions of the Diophantine equations x2 + 5a · pb = yn (for p = 29, 41) are given for nonnegative integers a, b, x, y, n ≥ 3 with x and y coprime. © 2017, University of Nis. All rights reserved.
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Keywords
Mathematics, Exponential diophantine equations, Primitive divisors of lehmer sequences
Citation
Demirci, M. (2017). ''On the diophantine equation x2 + 5a · pb = yn''. Filomat, 31(16), 5263-5269.