chebyshev's theorem

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an alternative name for Chebyshev's inequality
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:

\forall x\in\mathbb{N}:.

an alternative name for Bertrand's postulate, as proven by Chebyshev
Bertrand-Chebyshev theorem
the theorem that there is at least one prime number between n and 2n for every n>1, i.e.:

\forall n\in\mathbb{N}:n>1\Rightarrow\exists p\in\mathbb{P}:n.

chebyshev's theorem
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