A Lucas–Lehmer approach to generalised Lebesgue–Ramanujan–Nagell equations

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Abstract

We describe a computationally efficient approach to resolving equations of the form C1x2+C2=yn in coprime integers, for fixed values of C1, C2 subject to further conditions. We make use of a factorisation argument and the Primitive Divisor Theorem due to Bilu, Hanrot and Voutier.
Original languageEnglish
JournalThe Ramanujan Journal
DOIs
Publication statusPublished - 2021

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