If u, v, and w are three different positive integers whose sum is prime, which of the following statements could be true? Choose the correct answer.
A) The average (arithmetic mean) of u, v, and w is prime.  B) Each of u + 3, v + 3, and w + 3 is prime.  C) Each of u + v, u + w, and v + w is prime.  D) Each of u, v, and w is prime.  E) u + v = w
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 u, v, and w is prime. is the answer.
<result>D</result>
If u, v, and w are three different positive integers whose sum is prime, which of the following statements could be true?