Latest Maths Olympiad Aptitude Question SOLUTION: Let p1 < p2 < p3 < p4 and q1 < q2 < q3 < q4 be two sets of prime numbers such that p4 + p1 = 8 and q4 + q1 = 8. Suppose p1 > 5 and q1 > 5. prove that 30 divides p1 + q1.