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Transactions of the American Mathematical Society

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On the generalized Ramanujan-Nagell equation $x^ 2-D=2^ {n+2}$

Author: Mao Hua Le
Journal: Trans. Amer. Math. Soc. 334 (1992), 809-825
MSC: Primary 11D61
MathSciNet review: 1070350
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Abstract: Let $D$ be a positive integer which is odd. In this paper we prove that the equation ${x^2} - D = {2^{n + 2}}$ has at most three positive integer solutions $(x,n)$ except when $D = {2^{2m}} - 3 \cdot {2^{m + 1}} + 1$ , where $m$ is a positive integer with $m \geq 3$ .

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1992 American Mathematical Society