Chebyshev's theorem

proper noun

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:”

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Meanings

proper noun
  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:

  2. Bertrand's postulate, as proven by Chebyshev.
  3. Chebyshev's inequality.

Origin

From Pafnuty Chebyshev, the discoverer.

Full word history & related roots →
Cite this entry
APA

Chebyshev's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Chebyshev's%20theorem

MLA

“Chebyshev's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Chebyshev's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Chebyshev's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Chebyshev's%20theorem.

Source: Chebyshev's theorem on Wiktionary, CC BY-SA 4.0.