关于不同质数的幂和2的幂的方程

Pub Date : 2020-07-28 DOI:10.5802/crmath.5

Yuhui Liu

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引用次数: 0

摘要

证明了每一对足够大的偶整数都可以用一对方程来表示，每一对方程包含一个素数、一个素数的平方、两个素数的立方和2的302次幂。这个结果是在胡丽琪和杨丽丽的结果的基础上改进而来的。数学学科分类(2010)。第9 - 11、11过去。稿件于2019年12月19日收到，2020年2月9日和2020年2月10日修改，2020年2月10日接受。

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On pairs of equations involving unlike powers of primes and powers of 2

In this paper, it is proved that every pair of sufficiently large even integers can be represented by a pair of equations, each containing one prime, one prime square, two prime cubes and 302 powers of 2. This result constitutes a refinement upon that of L. Q. Hu and L. Yang. Mathematical subject classification (2010). 11P32, 11P55. Manuscript received 19th December 2019, revised 9th February 2020 and 10th February 2020, accepted 10th February 2020.

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