Problem 46111. Evaluate the prime zeta function
In its original definition, the zeta function  , which is important in number theory, is the sum of the reciprocals of the positive integers raised to the power s. The prime zeta function
, which is important in number theory, is the sum of the reciprocals of the positive integers raised to the power s. The prime zeta function  is the sum of the reciprocals of the primes raised to the power s.
 is the sum of the reciprocals of the primes raised to the power s. 
Evaluate the prime zeta function for the specified values of s, which are positive and greater than one.
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