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Therefore, 1 might belong to Q. Example: {1,3,5,7}.

1 CAN NOT be an element of Q, because 1 is NOT a prime number, while any element of Q must be a prime number.

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In the question, an inner relation between numbers in the set Q (i.e. "Q represents a set of four consecutive prime numbers").

Prime numbers in the set are NOT necessarily consecutive, e.g. Q can be {3, 11, 17, 19}.