# Large primes over a large product

Calculus Level 4

$\large \lim_{n\rightarrow\infty}\dfrac{p_{n^2}}{(P_n)^2}$

If $$p_n$$ is the $$n\text{th}$$ prime number and $$P_n$$ is the product of the first $$n$$ prime numbers, then find the value of the limit above.

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