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arXiv · 2306.13638

Some new primality criteria based on Lucas sequences

Konstantinos Gaitanas
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Abstract

In this paper, we provide some novel results concerning the behavior of $\frac{U_{kn}}{U_k}$ modulo ${U_n}$, where $(U_n)_{n\in\mathbb{N}}$ is the Lucas sequence of the first kind. As a consequence, we obtain some primality criteria which do not seem to appear in the literature.

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Konstantinos Gaitanas. 2023-06-23. Some new primality criteria based on Lucas sequences. https://arxiv.org/abs/2306.13638

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