We all know there exists an explicit Formula for prime counting function in terms of Riemann zeros.

I'm wondering if similar formula exists for $n$th prime in terms of Riemann zeros?

Or any other conjectured exact formula for nth prime? ( Probably analytic).

We all know there exists an explicit Formula for prime counting function in terms of Riemann zeros.

I'm wondering if similar formula exists for $n$th prime in terms of Riemann zeros?

Or any other conjectured explicit formula for nth prime? ( Probably analytic).

I'm looking for analytic function for nth prime.

We all know there exists a explicit Formula for prime counting function in terms of Riemann zeros.

I'm wondering if similar formula exists for $n$th prime in terms of Riemann zeros?

Or any other conjectured exact formula for nth prime? ( Probably analytic)

We all know there exists an explicit Formula for prime counting function in terms of Riemann zeros.

I'm wondering if similar formula exists for $n$th prime in terms of Riemann zeros?

Or any other conjectured exact formula for nth prime? ( Probably analytic).