What's the correct way to notate "a natural number n that's greater than 2"?

Question

I'm stuck between whether it is

$n \in \mathbb{N} > 2$

or

$n > 2 \in \mathbb{N}$

or if it's even one of these two.

Answer 1

Many ways there are:

• $ n\in \{k\in\mathbb N|k > 2\}$

• $ n\in \mathbb N^{>2}$

• $ n\in \mathbb N$ and $n >2$

• $ 2 < n\in \mathbb N$

In all these cases, using "$>2$" is the same like "$\geqslant3$" by because that's the same condition in $\mathbb N$.