Some square roots

Algebra Level 5

\[ X= \sqrt { a+\sqrt { b+\sqrt { c+\sqrt { d+X } } } } \]

Let \(a,b,c,d\) and \(X\) be positive integers satisfying the equation above. Find the minimum value of \(n > 2016\), where \( n\) is the 4-digit integer \(\overline{abcd} \).

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