Four squares of primes and powers of 2

TL;DR

This paper proves that all sufficiently large even integers can be expressed as the sum of four squares of primes and 46 powers of 2, advancing the understanding of additive representations involving primes and powers.

Contribution

It develops Wooley's method for the quadratic Waring-Goldbach problem to establish a new representation result involving primes and powers of 2.

Findings

All sufficiently large even integers are representable as specified.

The number of powers of 2 needed is at most 46.

The method advances techniques in additive number theory.

Abstract

By developing the method of Wooley on the quadratic Waring-Goldbach problem, we prove that all sufficiently large even integers can be expressed as a sum of four squares of primes and 46 powers of 2.