Partial sum estimate for $\sum_{p\leq x} \frac{1}{p^{1/2}}$

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Forgive my question if its elementary, I'm very new in number theory.

We know from Merten's theorem

$$\sum_{p\leq x} \frac{1}{p} = \ln \ln x + B + O\left(\frac{1}{\ln(x)}\right)$$

Here $B= \sum_p \left(\ln(1-1/p)+1/p\right)$

My question is how to get similar estimate for :

$$\sum_{p\leq x} \frac{1}{p^{1/2}}$$