A pair of equations in one prime, two prime squares and powers of 2
Volume 191 / 2019
Acta Arithmetica 191 (2019), 191-200 MSC: 11P32, 11P05, 11P55. DOI: 10.4064/aa190121-10-4 Published online: 5 September 2019
We show that when $k=82$, every pair of large odd integers satisfying some necessary conditions can be represented in the form of a sum of one prime, two prime squares and $k$ powers of $2$. This improves a result of Hu and Yang’s.