Magic Constant of Smallest Prime Magic Square with Consecutive Primes

Theorem
The magic constant of the smallest prime magic square whose elements are consecutive odd primes is $4 \, 440 \, 084 \, 513$.

Proof
The smallest prime magic square whose elements are consecutive odd primes is:

As can be seen by inspection, the sums of the elements in the rows, columns and Diagonal of Array is $4 \, 440 \, 084 \, 513$: