Chebyshev's theorem

name

The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:

Chebyshev's theorem is a fundamental result in probability theory.

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意味（1）

The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:

∀x∈ℕ:(cx)/(ln x)<=𝜋(x)<=(Cx)/(ln x)

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意味（2）

Bertrand's postulate, as proven by Chebyshev.

意味（3）

Chebyshev's inequality.

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Chebyshev's theorem

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