MathDB
2017 T1: Floors and Square Roots

Source:

January 29, 2017
team2017

Problem Statement

Find the integer nn such that n+n+n=2017.n + \left\lfloor\sqrt{n}\right\rfloor + \left\lfloor\sqrt{\sqrt{n}}\right\rfloor = 2017. Here, as usual, \lfloor\cdot\rfloor denotes the floor function.