Problem 5 -- Twin-Prime Pairs

Professor Plum likes to keep his elementary-aged children’s' minds active over the summer months with simple mathematical puzzles. He asked them to find all twin-prime pairs between two given positive integers. A twin prime is a prime number that differs from another prime number by 2. For example, a twin-prime pair is (41, 43) since both 41 and 43 are prime numbers. The first few twin-prime p