On the solutions of a Lebesgue - Nagell type equation
classification
🧮 math.NT
keywords
integersolutionsequationfindlebesguenagellnon-negativepositive
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We find all positive integer solutions in $x, y$ and $n$ of $x^2+19^{2k+1}=4y^{n}$ for any non-negative integer $k$.
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