• anonymous
Prove that $$x$$ is both rational and an integer.$\lim_{n\to\infty}\left(\ln n-\frac{n}{\pi\left(n\right)}\right)=x$The function $$\pi(n)$$ counts the number of primes less than or equal to $$n$$. I've seen this equation somewhere before, but I can't remember where. IIRC, $$x$$ evaluates to $$1$$. Mysterious!
Mathematics

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