Prime

Is there a function f such that y=f(x) will produce a prime number y for any real x?

>>1
Your question is often phrased "...such that p(n) will produce the n-th prime number for any integer n" to avoid ownage by >>7 and >>8.

And the answer is yes. Here it is:

p(n) = {
2 _ n=1
3 _ n=2
5 _ n=3
.
.
.

Perhaps you should be asking whether such a function can be defined algebraically.