Comptes Rendus. Mathématique (Jul 2020)
On pairs of equations involving unlike powers of primes and powers of 2
Abstract
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.