Answer
The statement is false.
Counterexample:
For m=3, we have,
m^{2} - 4 = 9-4 = 5 , which is a prime number.
So, the statement is false.
Work Step by Step
To check if the statement is true or false. Try inserting some random values of m.
In this case, since the statement says m>2,
lets try with m=3.
When m=3, then m^{2}- 4 = 5 (prime number)
So, the statement is false.