THE BRACKET is a floor function
Number Theory
Level
4
Find the sum of all positive integers such that the expression above is an integer.
The answer is 0.
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1 solution
just searched the first 100000 integers using Mathematica and since noone was found, I tried 0 and it worked!
Select[Range@100000, IntegerQ[(#^2 + 1)/(Floor[Sqrt[#]]^2 + 2)] &]