# Prime counting function

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The 60 first values of π(n)

In mathematics, the prime counting function is the function counting the number of prime numbers less than or equal to some real number x. It is written as ${\displaystyle \pi (x)}$,[1] but it is not related to the number π. Some key values of the function include ${\displaystyle \pi (1)=0}$, ${\displaystyle \pi (2)=1}$ and ${\displaystyle \pi (3)=2}$.

In general, if ${\displaystyle p_{n}}$stands for the n-th prime number, then ${\displaystyle \pi (p_{n})=n}$.[2]

## References

1. "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-10-07.
2. Weisstein, Eric W. "Prime Counting Function". mathworld.wolfram.com. Retrieved 2020-10-07.