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arXiv · 2002.03783

An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers

Zafer Şiar
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Abstract

In this paper, we prove that there is no x>=4 such that the difference of x-th powers of two consecutive Fibonacci numbers greater than 0 is a Lucas number.

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Zafer Şiar. 2020-02-10. An exponential Diophantine equation related to the difference of powers of two Fibonacci numbers. https://arxiv.org/abs/2002.03783

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