1975 AHSME Problems/Problem 22
If and are primes and has distinct positive integral roots, then which of the following statements are true?
Since the roots are both positive integers, we can say that since only has divisors. Thus, the roots are and and . The only two primes which differ by are so and . is true because . is true because one of the roots is which is prime. is true because is prime. is true because is prime. Thus, the answer is . -brainiacmaniac31