This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND
OR
NO

Found problems: 1

2004 Alexandru Myller, 4
Find the real numbers $ x>1 $ having the property that $ \sqrt[n]{\lfloor x^n \rfloor } $ is an integer for any natural number $ n\ge 2. $ [i]Mihai Piticari[/i] and [i]Dan Popescu[/i]
integer part number theory n-th root fractional part floor function algebra floor and ceiling functions fractional parts