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On the exponential Diophantine equation \(x^2+5^a13^b17^c=2^m y^n\)
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26 April 2021
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Abstract
We find all the positive integer solutions \((x,y,a,b,c,m,n)\) of the Diophantine equation in the title for \(a,b,c, m\geq 0\) and \(n \geq 3\) with \(\gcd(x,y)=1\).