Brocard's problem

proper noun

The problem of finding integer values of n and m for which n!+1=m², where n! is the factorial.

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Meanings

proper noun
  1. mathematicsThe problem of finding integer values of n and m for which n!+1=m², where n! is the factorial.

Origin

It was posed by Henri Brocard in a pair of articles in 1876 and 1885.

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Cite this entry
APA

Brocard's problem. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Brocard's%20problem

MLA

“Brocard's problem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Brocard's%20problem. Accessed November 3, 2026.

Chicago

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

Source: Brocard's problem on Wiktionary, CC BY-SA 4.0.