Find the set of all possible values of the expression ⌊m2+√2n⌋, where m and n are positive integers. Note: The symbol ⌊x⌋ denotes the largest integer less than or equal to x.
Source: 2021 Peru Cono Sur P1
Tags: number theory, floor function
Find the set of all possible values of the expression ⌊m2+√2n⌋, where m and n are positive integers. Note: The symbol ⌊x⌋ denotes the largest integer less than or equal to x.