The previous post on Goldbach's Conjecture is unfortunately falsehood, a simplified 'proof' but on the same line of argument is,
All primes are odd, let,
\(2n_1+1=p\)
and
\(2n_2+1=q\)
so \(p+q=2(n_1+n_2+1)=2n\)
where \(n=n_1+n_2+1\).
The actual proof needed is that \(n\) spans all integer greater than \(2\).