If x, y and z are three different positive integers whose sum is prime, which of the following statements could be true?  Select
A) x + y = z	B) Each of x + 3, y + 3, and z + 3 is prime.	C) Each of x + y, x + z, and y + z is prime.	D) The average (arithmetic mean) of x, y, and z is prime.	E) Each of x, y, and z is prime.
the question asks could be!!!!   this means that if at least one option works, it is the answer.   3, 7, 19 satisfies the condition, since 29 is a prime number. Since the question asks for a could be - we know automatically that Each of x, y, and z is prime. is the answer.
<result>E</result>
If x, y and z are three different positive integers whose sum is prime, which of the following statements could be true?