Chebyshev's bias

proper noun

The phenomenon that most of the time, there are more prime numbers of the form 4k + 3 than of the form 4k + 1 up to n.

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Meanings

proper noun
  1. The phenomenon that most of the time, there are more prime numbers of the form 4k + 3 than of the form 4k + 1 up to n.
  2. The phenomenon that if a is a quadratic residue modulo q and b is a quadratic nonresidue modulo q, then π(x;b,q)>π(x;a,q) occurs more often than not

Origin

From Pafnuty Chebyshev, the discoverer.

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Cite this entry
APA

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

MLA

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

Chicago

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

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