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On the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\)
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\) has at most three nonnegative integer solutions \((x, n)\) for \(k\) a prime and \(B, D\) positive integers.
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