Two prime squares, four prime cubes and powers of 2
Volume 187 / 2019
Acta Arithmetica 187 (2019), 143-150
MSC: Primary 11P32; Secondary 11P05, 11P55.
DOI: 10.4064/aa170904-8-3
Published online: 14 November 2018
Abstract
It has been proved that, for $k=211,$ every sufficiently large even integer can be represented as a sum of two prime squares, four prime cubes and $k$ powers of 2. In this paper, we sharpen the value of $k$ to 43.