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PrimeZetaP

PrimeZetaP[s]
gives prime zeta function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • is defined by for and by analytic continuation for .
  • PrimeZetaP can be evaluated to arbitrary numerical precision.
Evaluate to high precision:
Evaluate to high precision:
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
Evaluate for machine precision:
Evaluate for complex arguments:
The precision of the output tracks the precision of the input:
PrimeZetaP threads element-wise over lists:
TraditionalForm formatting:
Compute Artin's constant:
Compute the first Mertens constant:
New in 7