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arXiv · 2108.09857

Uniform explicit Stewart's theorem on prime factors of linear recurrences

Yuri Bilu·Haojie Hong·Sanoli Gun
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Abstract

Stewart (2013) proved that the biggest prime divisor of the $n$th term of a Lucas sequence of integers grows quicker than $n$, answering famous questions of Erdős and Schinzel. In this note we obtain a fully explicit and, in a sense, uniform version of Stewart's result.

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Yuri Bilu, Haojie Hong, Sanoli Gun. 2022-10-02. Uniform explicit Stewart's theorem on prime factors of linear recurrences. https://arxiv.org/abs/2108.09857

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