Goldbach's Conjecture says every even integer $>$ $2$ can be expressed as the sum of two primes.
Let's say $N$ is our input and its $10$. Which is an integer > 2 and is not odd.
1.Create list of numbers from $1,to~N$
2.Use prime-testing algorithm for creating a second list of prime numbers
3.Use my 2_sum solver that allows you to use primes twice that sum up to $N$
for j in range(list-of-primes)): if N-(list-of-primes[j]) in list-of-primes: print('yes') break
4.Verify solution efficently
if AKS-primality(N-(list-of-primes[j])): if AKS-primality(list-of-primes[j]): print('Solution is correct')
yes 7 + 3 Solution is correct
If the conjecture is true, then the answer will always be Yes. Does that mean it can't be in $Co-NP$ because the answer is always Yes?