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تسجيل مستخدم جديدComplete solutions of certain Lebesgue-Ramanujan-Nagell type equations
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It is well-known that for $p=1, 2, 3, 7, 11, 19, 43, 67, 163$, the class number of $mathbb{Q}(sqrt{-p})$ is one. We use this fact to determine all the solutions of $x^2+p^m=4y^n$ in non-negative integers $x, y, m$ and $n$.
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