Comptes Rendus. Mathématique (Jul 2020)

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

  • Liu, Yuhui

DOI
https://doi.org/10.5802/crmath.5
Journal volume & issue
Vol. 358, no. 4
pp. 393 – 400

Abstract

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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.