Dickson's conjecture

English

Etymology

Introduced by Leonard Eugene Dickson in 1904.

Proper noun

Dickson 's conjecture

(number theory) The conjecture that, for a finite set of linear forms $a 1 + b 1 n$ , $a 2 + b 2 n$ , ..., $a k + b k n$ with $b i \geq 1$ , 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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