Dickson's conjecture

proper noun

The conjecture that, for a finite set of linear forms a₁ + b₁n, a₂ + b₂n, ..., aₖ + bₖn with bᵢ ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this.

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Meanings

proper noun
  1. mathematicsThe conjecture that, for a finite set of linear forms a₁ + b₁n, a₂ + b₂n, ..., aₖ + bₖn with bᵢ ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this.

Origin

Introduced by Leonard Eugene Dickson in 1904.

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Cite this entry
APA

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

MLA

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

Chicago

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

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