Brocard's conjecture

proper noun

The conjecture that there are at least four prime numbers between (pₙ)² and (pₙ₊₁)², where pₙ is the nth prime number, for every n ≥ 2.

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Meanings

proper noun
  1. mathematicsThe conjecture that there are at least four prime numbers between (pₙ)² and (pₙ₊₁)², where pₙ is the nth prime number, for every n ≥ 2.

Origin

Named after Henri Brocard.

Full word history & related roots →
Cite this entry
APA

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

MLA

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

Chicago

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

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