  Suppose that $y>0$, $0\leq\alpha<2\pi$ and $0<K<1$. Let $P^+$ be the set of
primes $p$ such that $\cos(y\ln p+\alpha)>K$ and $P^-$ the set of primes $p$
such that $\cos(y\ln p+\alpha)<-K$ . In this paper we prove $\sum_{p\in
P^+}\frac{1}{p}=\infty$ and $\sum_{p\in P^-}\frac{1}{p}=\infty$.
