The answer to exercise marked [BB] can be found in the Back of the Book.
(a) [BB] Prove that every odd positive integer of the form 3n +2, n ∈ N, has a prime factor of the same form. What happens if the word odd is omitted?
(b) Repeat (a) for positive integers of the form 4n +3.
(c) Repeat (a) for positive integers of the form 6n +5.
(d) Prove that there are infinitely many primes of the form 6n + 5.
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