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Abstract
Suppose that $y>0$, $0\leq\alpha<2\pi$ and $0K$ 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
$\sum_{p\in P^-}\frac{1}{p}=\infty$.
On the sum of reciprocals of primes
23 January 2024, Version 1
Working Paper
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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.
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Jan 23, 2024 Version 1
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