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Erdős problem 726

As n→∞n\to \infty ranges over integers ∑p≤n1n∈(p/2,p)(modp)1p∼log⁡log⁡n2\sum_{p\leq n}1_{n\in (p/2,p)\pmod{p}}\frac{1}{p}\sim \frac{\log\log n}{2}?

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