Carmichael number

noun

A composite number n that satisfies the modular arithmetic congruence relation bⁿ⁻¹≡1(mod n) for all integers 1<b<n that are relatively prime to n.

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Meanings

nounCarmichael number (plural Carmichael numbers)

plural Carmichael numbers

  1. mathematicsA composite number n that satisfies the modular arithmetic congruence relation bⁿ⁻¹≡1(mod n) for all integers 1<b<n that are relatively prime to n.

Origin

Named after Robert Daniel Carmichael (1879–1967), American mathematician.

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Cite this entry
APA

Carmichael number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Carmichael%20number

MLA

“Carmichael number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Carmichael%20number. Accessed November 4, 2026.

Chicago

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

Source: Carmichael number on Wiktionary, CC BY-SA 4.0.