Waring-Goldbach problems for one square and higher powers
Number Theory
2026-03-09 v1
Abstract
We prove that every sufficiently large odd integer can be expressed as a sum of one square and fourteen fifth powers, all of primes. In addition, we establish that every sufficiently large even integer can be written as a sum of one square, one biquadrate, and twelve fifth powers of primes.
Cite
@article{arxiv.2603.05550,
title = {Waring-Goldbach problems for one square and higher powers},
author = {Geovane Matheus Lemes Andrade},
journal= {arXiv preprint arXiv:2603.05550},
year = {2026}
}