# 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 $$\overline{abcd}$$.

×