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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.

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    $\begingroup$ Could you define exactly what you mean by a formula for the nth prime? $\endgroup$
    – Markus Shepherd
    Commented Apr 18, 2020 at 14:04

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