Prime

Let $$p_n$$ be the $$n$$th prime number. Which of the statements is/are true?

$$\quad$$ A: There are infinite number of $$n$$ such that $$p_n\equiv1 \ \mod4$$.

$$\quad$$ B: There are infinite number of $$n$$ such that $$p_n\equiv3 \ \mod4$$.

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