Prove (1). By direct proof "For any integer n, there exist two integers a and b of opposite parity such that an + b is an odd integer." the given statement by indicated method. (48 points, 16 each) (2). By Contrapositive "If p is a prime greater than or equal to 5, then either 3 | (p+2) or 3 | (p-2)" (3). By contradiction "log3045 is irrational."