Question 16
Find the positive integer solutions of the equation
$$
\lfloor\sqrt{8n+1}\rfloor + \lfloor\sqrt{8n+2}\rfloor + \dots + \lfloor\sqrt{8n+7}\rfloor = 2027.
$$
$$
\lfloor\sqrt{8n+1}\rfloor + \lfloor\sqrt{8n+2}\rfloor + \dots + \lfloor\sqrt{8n+7}\rfloor = 2027.
$$