Question 88
Prove that there are infinitely many mutually coprime positive integers $a$, $b$ and $c$ such that
$$
\left\lfloor \frac{a^2}{2020} \right\rfloor + \left\lfloor \frac{b^2}{2020} \right\rfloor = \left\lfloor \frac{c^2}{2020} \right\rfloor.
$$
$$
\left\lfloor \frac{a^2}{2020} \right\rfloor + \left\lfloor \frac{b^2}{2020} \right\rfloor = \left\lfloor \frac{c^2}{2020} \right\rfloor.
$$