Dickson's conjecture

for a finite set of linear forms a_1 + b_1 n, \ldots, a_k + b_k n with each b_i \geq 1, there are infinitely many n for which all forms are prime, unless there is some congruence condition preventing it.

Open the “Prime numbers” section on Wikipedia →

Source: List of unsolved problems in mathematics (CC BY-SA 4.0)