Four squares of primes and powers of 2
Volume 162 / 2014
Acta Arithmetica 162 (2014), 255-271
MSC: Primary 11P32; Secondary 11P55, 11N36.
DOI: 10.4064/aa162-3-4
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 $2$.