On the Lebesgue-Nagell equation
Andrzej Dąbrowski (2011)
Colloquium Mathematicae
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We completely solve the Diophantine equations (for q = 17, 29, 41). We also determine all and , where are fixed primes satisfying certain conditions. The corresponding Diophantine equations x² + C = yⁿ may be studied by the method used by Abu Muriefah et al. (2008) and Luca and Togbé (2009).