Cramér's conjecture

proper noun

An estimate for the size of gaps between consecutive prime numbers, stating that p_n+1-p_n=O(( log p_n)²), where pₙ denotes the nth prime number, O is big O notation, and log is the natural logarithm.

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Meanings

proper noun
  1. mathematicsAn estimate for the size of gaps between consecutive prime numbers, stating that p_n+1-p_n=O(( log p_n)²), where pₙ denotes the nth prime number, O is big O notation, and log is the natural logarithm.

Origin

Formulated by the Swedish mathematician Harald Cramér in 1936.

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Cite this entry
APA

Cramér's conjecture. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Cram%C3%A9r's%20conjecture

MLA

“Cramér's conjecture.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cram%C3%A9r's%20conjecture. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cramér's conjecture,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Cram%C3%A9r's%20conjecture.

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