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On the Diophantine Equation Fn = x^a \pm x^b \pm 1 in Mersenne and Fermat Numbers

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In this article we investigate on the representation of Fibonacci numbers in the form x^a \pm x^b pm 1, for x in the sequence of Mersenne and Fermat numbers. Click to show full abstract

In this article we investigate on the representation of Fibonacci numbers in the form x^a \pm x^b pm 1, for x in the sequence of Mersenne and Fermat numbers.

Keywords: fermat numbers; mersenne fermat; diophantine equation; equation mersenne

Journal Title: Tamkang Journal of Mathematics
Year Published: 2021

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