MathDB
Greatest Integer Function

Source: RMO 2015 P6

September 2, 2018
algebrafloor functionfunction

Problem Statement

For how many integer values of mm, (i) 1≤m≤50001\le m \le 5000 (ii) [m]=[m+125][\sqrt{m}] =[\sqrt{m+125}]
Note: [x][x] is the greatest integer function
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