Question

How many natural numbers \(n\) are there such that\[\sqrt{n+\sqrt{n+\sqrt{n+\sqrt{n+...}}}}\]is natuaral too.

Answer 1

p^2 - p - n =0

Answer 2

n=2,6 gives 2 and 3 ,... ??? are there more numbers?

Answer 3

then,
a^2=n+a