Question 59
Let $N$ be the number of ordered pairs $(x, y)$ of integers such that
$$
x^2 + x y + y^2 \leq 2007
$$
Remember, integers may be positive, negative, or zero!
a. Prove that $N$ is odd.
b. Prove that $N$ is not divisible by $3$.
$$
x^2 + x y + y^2 \leq 2007
$$
Remember, integers may be positive, negative, or zero!
a. Prove that $N$ is odd.
b. Prove that $N$ is not divisible by $3$.