# Is there a function that will give me nth prime number? [duplicate]

Possible Duplicate:
Is there a known mathematical equation to find the nth prime?

Is there a function, like f(n), I insert n into the function and it outputs nth prime number? I have been trying to find a pattern between the prime numbers, 1st differences, 2nd differences, but I can't find it.

To be clear: I want something like f(x)=x^2+5 or f(x)=2.sin(x)+x^2. You know what I mean...

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## marked as duplicate by Charles, Ross Millikan, Chris Eagle, Zev ChonolesJan 2 '12 at 17:00

Sure. Let $f(n)$ be the function that inputs $n$ and outputs the $n$-th prime number. :) Less obnoxiously, you have to be more specific about the form of the function you're looking for. Closed-form expressions exist but are pretty computationally useless, usually relying on something like Wilson's theorem to function as a characteristic function for the primes. – Cam McLeman Jan 2 '12 at 16:47
Well yes, the function $f$ does exist, but that doesn't mean we know what it looks like.