On the Diophantine equation x²+7^(alpha).11^(beta)=y^n
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alphabetadiophantineequationcasecoprimeevenexcept
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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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