Smarandache function

proper noun

A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4.

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Meanings

proper nounthe Smarandache function
  1. mathematicsA function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4.

Origin

Named after Florentin Smarandache, who rediscovered the function in 1980.

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Cite this entry
APA

Smarandache function. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Smarandache%20function

MLA

“Smarandache function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Smarandache%20function. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Smarandache function,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Smarandache%20function.

Source: Smarandache function on Wiktionary, CC BY-SA 4.0.