# Twin Prime Factorial

Let $$p_{n}$$ denote the $$n^\text{th}$$ prime number and let $$Q_{n} = p_{1} \times p_{2} \times p_{3} \times \cdots \times p_{n}$$. For example, $$Q_{1} = 2, Q_{2} = 2 \times 3, Q_{3} = 2 \times 3 \times 5$$. Is the following true or false?

For any positive integer $$n$$, at least one of $$Q_{n} + 1$$ or $$Q_{n} - 1$$ is prime.

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