I know there is no known elementary function $f:\mathbb{R}\to\mathbb{R}$ such that $f(n)$ is the $n$-th prime number, but is there a proof for the non-existance of one? How about one which only takes values from the primes on inputs from $\mathbb{N}$, with infinitely many primes in its image?
2026-03-27 15:14:32.1774624472
Elementary function producing primes
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