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.
Let N be the number of ordered pairs (x, y) of integers such that
Remember, integers may be positive, negative, or zero!
(a) Prove that N is odd.
(b) Prove that N is not divisible by 3.