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Dickson's conjecture

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.

Proper noun

Dickson's conjecture

  1. 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.

Origin of Dickson's conjecture

Introduced by Leonard Eugene Dickson in 1904.

Questions about Dickson's conjecture

What does Dickson's conjecture mean?
Dickson's conjecture means 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.
What part of speech is Dickson's conjecture?
Dickson's conjecture is a proper noun.

Words near Dickson's conjecture in the dictionary

  1. dicksneezes
  2. Dickson
  3. Dickson County
  4. Dickson polynomial
  5. Dickson polynomials
  6. Dickson's conjecture
  7. dicksoniaceous
  8. dicksplash
  9. dicksplashes
  10. dicksplat
  11. dicksplats

Source and license

Adapted from Wiktionary: Dickson's conjecture (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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