On sums of unequal powers of primes and powers of 2
Number Theory
2024-01-04 v1
Abstract
In this paper, it is proved that every sufficiently large even integer can be represented as the sum of two squares of primes, two cubes of primes, two biquadrates of primes and 16 powers of 2. Furthermore, there are at least 5.313% odd integers that can be represented as one square of prime, one cube of prime and one biquadrate of prime. This result constitutes a refinement upon that of R. Zhang [8].
Keywords
Cite
@article{arxiv.2401.01355,
title = {On sums of unequal powers of primes and powers of 2},
author = {Yuhui Liu},
journal= {arXiv preprint arXiv:2401.01355},
year = {2024}
}