On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n

Details On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n

2012-01-03

arxiv.org/abs/1201.0778v1

Mathematics

Number Theory

to appear in Miskolc Mathematical Notes; MSC key words and phrases: Exponential equations, Primitive divisors of Lucas sequenc

Scientific paper

In this paper, we give all the solutions of the Diophantine equation
x^2+7^{alpha}.11^{beta}=y^n, in nonnegative integers x, y, n>=3 with x and y
coprime, except for the case when alpha.x is odd and beta is even.

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