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8. Prove or disprove the following statements about primes: (a) (3 Pts.) The sum of two...

8. Prove or disprove the following statements about primes:
(a) (3 Pts.) The sum of two primes is a prime number.
(b) (3 Pts.) If p and q are prime numbers both greater than 2, then pq + 17 is a composite number.
(c) (3 Pts.) For every n, the number n2 ? n + 17 is always prime.
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