Anwer: (1) 2

Solution:

factorize the expression

(m-3)(m-4)

for the above expression to be prime one of the factors should be 1 or -1

when m-3 = 1 or -1 , then m = 4  or 2     4 doesn’t give prime, 2 will make the value of expression = 2, which is prime

when m-4 = 1 or -1 , then m= 5 or 3,  5 will make expression = 2 

Hence for values =2 and 5, this expression will be prime.