Question 167
Consider the set of positive integers $n$ satisfying $1 \leq n \leq 1000000$. In this set, determine which is larger: the number of numbers that can be expressed in the form $a^{3}+m b^{2}$, with $a, b \in \mathbb{N}$ and $m \in \{0,2,4,6,8\}$, or the number of numbers that cannot be expressed in that form.