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Chebyshev's theorem is a name given to several theorems proven by Russian mathematician Pafnuty Chebyshev

• Bertrand's postulate
• Chebyshev's inequality
• Chebyshev's sum inequality
• Chebyshev's equioscillation theorem
• The statement that if the function $\pi (x)\ln x/x$ has a limit at infinity, then the limit is 1 (where π is the prime-counting function). This result has been superseded by the prime number theorem.