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Type: Article
On the Diophantine equation x^2+2^alpha13^beta=y^n
Abstract:
We find all the solutions of the Diophantine equation x(2) + 2(alpha)13(beta) = y(n) in positive integers x, y, alpha, beta, n >= 3 with x and y coprime.
We find all the solutions of the Diophantine equation x(2) + 2(alpha)13(beta) = y(n) in positive integers x, y, alpha, beta, n >= 3 with x and y coprime.
Keywords: Exponential equations; Diophantine equation
MSC: 11D61 (11B37 11B39 11D59 11Y50)
Journal: Colloquium Mathematicum
ISSN: 0010-1354
Year: 2009
Volume: 116
Number: 1
Pages: 139--146
Created: 2012-12-07 13:49:34
Modified: 2014-02-12 11:51:21
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