The answer to exercise marked [BB] can be found in the Back of the Book.
Let p1, p2, ‖, pn+1 denote the first n + 1 primes (in order). Prove that every number between p1 p2… pn +2 and p1 p2 … pn + pn+1 − 1 (inclusive) is composite. How does this show that there are gaps of arbitrary length in the sequence of primes?
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