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Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation

Yann Bugeaud·Maurice Mignotte·Samir Siksek
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Abstract

We solve completely the Lebesgue-Nagell equation x^2+D=y^n, in integers x, y, n>2, for D in the range 1 =< D =< 100.

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Yann Bugeaud, Maurice Mignotte, Samir Siksek. 2004-05-12. Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation. https://arxiv.org/abs/math/0405220

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