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Research Article | Open Access

On pairs of equations in eight prime cubes and powers of 2

Gen Li1, Liqun Hu2( ), Xianjiu Huang1,2
Ji luan Academy, Nanchang University, Nanchang, Jiangxi 330031, China
Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China
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Abstract

In this paper, it is proved that every pair of large positive even integers satisfying some necessary conditions can be represented in the form of a pair of eight cubes of primes and 287 powers of 2. This improves the previous result.

Keywords

circle methodlinnik problempowers of 2
CLC number: 11P32, 11P05, 11P55

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 3940-3948
DOI: 10.3934/math.2023197

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Cite this article:
Li G, Hu L, Huang X. On pairs of equations in eight prime cubes and powers of 2. AIMS Mathematics, 2023, 8(2): 3940-3948. https://doi.org/10.3934/math.2023197

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Received: 23 September 2022
Revised: 17 November 2022
Accepted: 23 November 2022
Published: 15 February 2023
©2023 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)