11th Mexican Mathematical Olympiad Problems 1997

11th Mexican Mathematical Olympiad Problems 1997A1.  Find all primes p such that 8p4 - 3003 is a (positive) prime. A2.  ABC is a triangle with centroid G. P, P' are points on the side BC, Q is a point on the side AC, R is a point on the side AB, such that AR/RB = BP/PC = CQ/QA = CP'/P'B. The lines AP' and QR meet at K. Show that P, G and K are collinear.

Posted in: Mexican Mathematical Olympiad