Pattern Recognition is the Best

Algebra Level 4

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?

×

Problem Loading...

Note Loading...

Set Loading...