First Thing First Goldbach

For, $p$ and $q$ both prime, is

$p+q=2n$, $n\gt 2,\,\in\mathbb{Z}^+$

true for all $n$.

if,

$p=q$

$p+q=2p=2n$

$p=n$

but not all $n$ are prime as such $p\neq q$.  

So previously where $n_o=n_q$, cannot hold.