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Research Article | Open Access

On Brizolis' a problem related to primitive roots modulo a prime p

Wenpeng Zhang( ), Xiaoling Xu
School of Data Science and Engineering, Institute of Mathematical Modeling and Intelligent Computing, Xi'an Innovation College of Yan'an University, Xi'an, Shaanxi, China
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Abstract

The main purpose of this paper is to use very simple elementary and analytic methods to study a problem related to the primitive root modulo p asked by Brizolis and prove a more general and stronger conclusion.

Keywords

primitive rootelementary and analytic methodsBrizolis' problem and its generalization
CLC number: 11A07, 11L40

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AIMS Mathematics
Volume 10 Issue 11,
November 2025
Pages 27513-27518
DOI: 10.3934/math.20251209

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Cite this article:
Zhang W, Xu X. On Brizolis' a problem related to primitive roots modulo a prime p. AIMS Mathematics, 2025, 10(11): 27513-27518. https://doi.org/10.3934/math.20251209

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Received: 15 July 2025
Revised: 04 November 2025
Accepted: 13 November 2025
Published: 25 November 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)