On the sum of two powered numbers
Acta Arithmetica
MSC: Primary 11B13
DOI: 10.4064/aa230609-26-9
Published online: 5 February 2024
Abstract
Any natural number $n\ge 4$ is representable as the sum $n=m_1+m_2$ where the largest squarefree divisor of each of the numbers $m_j$ does not exceed $2\sqrt[4]{27}\sqrt{m_j}$.
