Speakur

Word Pronunciation & Dictionary

dickson's conjecture

Word Rarity Very rare

Frequency: Zipf frequency 1.79 in modern English

Syllables
dick-son's -con-jec-ture
IPA
36
Scrabble Score
18
Letters
5
Syllables
12
Unique Chars

Meaning

name

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.

Etymology

Introduced by Leonard Eugene Dickson in 1904.

Questions

What does dickson's conjecture mean?
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.
Where does dickson's conjecture come from?
Introduced by Leonard Eugene Dickson in 1904.

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