On a generalization of Hua’s theorem with five squares of primes

Abstract

We sharpen Hua's theorem with ve squares of primes by proving that every suciently large integer N congruent to 5 modulo 24 can be written in the form N = p 2 1 + p 2 2 + p 2 3 + p 2 4 + p 2 5 , with p1 N 49 288 .