The density of integers representable as the sum of four prime cubes
Volume 192 / 2020
Acta Arithmetica 192 (2020), 363-369
MSC: Primary 11P32; Secondary 11P05, 11N36.
DOI: 10.4064/aa180827-26-2
Published online: 22 November 2019
Abstract
The set of integers which can be written as the sum of four prime cubes has lower density at least $0.009664$. This improves earlier bounds of $0.003125$ by Ren, and $0.005776$ by Liu.
