Adapt the proof in the text that there are infinitely many

Chapter 4, Problem 54E

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Problem 54E

Adapt the proof in the text that there are infinitely many primes to prove that there are infinitely many primes of the form 3k + 2, where k is a nonnegative inte­ger. [Hint: Suppose that there are only finitely many such primes q1,q2,···, qn, and consider the number 3q1q2···qn – 1.]

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