Let \(f(x)\) be the least positive integer that can be added to \(x\) to obtain a perfect square. For example,\( f(1) = 3 , f(2) = 2, f(3) = 1 , f(4) = 5 , f(5) = 4\) and so on.

To what value of \(x\), starting from \(x = 1\), is the \(100^\text{th}\) recurrence of 2017 as a function value?

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