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

Abstract

In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.

Keywords

• circle method
• linnik problem
• powers of 2
• 11p32
• 11p05
• 11p55