Magic Constant of Order 4 Magic Square/Proof 2

Theorem

The magic constant of the order $4$ magic square is $34$.

Proof

Let $M_n$ denote the magic square of order $n$.

By Magic Constant of Magic Square, the magic constant of $M_n$ is given by:

$S_n = \dfrac {n \left({n^2 + 1}\right)} 2$

Setting $n = 4$:

$S_4 = \dfrac {4 \times 17} 2 = 34$

$\blacksquare$