The prime counting function $ \pi (x) \approx \dfrac {x} {\ln(x-1)} $. This function returns the number of primes less than $x$.
Note: $x-1$ gives a better estimate than $x$.
How to find $x$ given $ \pi(x) $ ?
2026-04-01 01:34:58.1775007298
Inverse of prime counting function
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Look up Meissel's prime-counting function.
One reference is here:
https://en.wikipedia.org/wiki/Prime-counting_function