Prime Magic Square/Examples/Order 12/Smallest with Consecutive Primes from 3/Mistake

Source Work

 * The Dictionary
 * $144$
 * $144$


 * The Dictionary
 * $144$
 * $144$

Mistake

 * The smallest magic square composed of consecutive primes comprises the $144$ odd primes from $3$ upwards. The magic constant is $4515$.

The prime magic square being referred to is actually composed of the $143$ odd primes from $3$ upwards, along with $1$.

The magic constant of this square is in fact $4514$, not $4515$.

Elementary arithmetic tells us that the magic constant, being the sum of $12$ (an even number of) odd primes, will in fact be even.

Hence it cannot be $4515$.

It also needs to be pointed out that the smallest magic square composed of consecutive primes is actually of order $3$: