f(2)=1 f(3)=-1 f(5)=1 f(7)=-1 f(m th prime) = (-1)^(m+1) extrapolate to the rest of the complex plane
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f(2)=1 f(3)=-1 f(5)=1 f(7)=-1 f(m th prime) = (-1)^(m+1) extrapolate to the rest of the complex plane