Word.ws English Dictionary

Chebyshev's theorem

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.

Proper noun

Chebyshev's theorem

  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 of Chebyshev's theorem

From Pafnuty Chebyshev, the discoverer.

Questions about Chebyshev's theorem

What does Chebyshev's theorem mean?
Chebyshev's theorem means 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.
What part of speech is Chebyshev's theorem?
Chebyshev's theorem is a proper noun.

Words near Chebyshev's theorem in the dictionary

  1. Chebyshev distances
  2. Chebyshev space
  3. Chebyshev spaces
  4. Chebyshev's bias
  5. Chebyshev's inequality
  6. Chebyshev's theorem
  7. Chece
  8. Checes
  9. chechako
  10. chechakoes
  11. chechakos

Source and license

Adapted from Wiktionary: Chebyshev's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Chebyshev's theorem.” Word.ws, https://word.ws/chebyshev%27s_theorem. Based on Wiktionary, CC BY-SA 4.0.