Singmaster's conjecture

proper noun

A conjecture in combinatorial number theory, stating that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times).

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Meanings

proper noun
  1. mathematicsA conjecture in combinatorial number theory, stating that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times).

Origin

Named after the British mathematician David Singmaster, who proposed it in 1971.

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Cite this entry
APA

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

MLA

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

Chicago

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

Source: Singmaster's conjecture on Wiktionary, CC BY-SA 4.0.