Well done @kford_academy. That is just as Dudeney had it.
The solution, for this 3rd order, and up to 12th order, magic square of prime numbers is provided in an article in the Monist (Chicago) for October 1913 by W S Andrews and H A Sayles. This is available on-line.
For anyone not wishing to include the number 1 as a prime, then I think the 3rd order magic square of prime numbers, with the lowest factor (177) is:
101 005 071
029 059 089
047 113 017