Identify the hypothesis and conclusion in the following statements. Then, find a counter example showing that the statement is false. Here n, m, and p are originally assumed to be integers.
Statement 1. If m and n are integers, then m/n is an integer.
Statement 2. If m and n are positive integers, then m - n is a positive integer.
Statement 3. If p is an odd prime number, then p^2 + 2 is a prime number.
Statement 4. If n - m is an even integer, then n and m are even integers.