If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.
Choose the correct choice from the following answers
A) 1 only.  B) 2 only.  C) 3 only.  D) 2 and 3 only.  E) 1, 2 and 3.
Answer is D : 2 and 3 only   (1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true   (2) A x B is also a prime number. : Beats the property of primes, so false   (3) A^B is also a prime number. : Beats the property of primes, so false   1 only.ns :1 only.
<result>A</result>
If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.