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## "primes" as Energy levels...(eigenvalues of a certain operator)

I have heard about the Riemann Zeta function to be some kind of physical partition function..my question is..could we consider primes as "Energy levels" (eigenvalues) of a certain partition function or operator?..in the form that exit an operator P so:

$$P|\psi>=p_{n}|\psi>$$

could someone give some information of the "Riemann zeta function" as an statistical partition function?..thanks.
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