Source: cirosantilli/prime-k-tuple-conjecture

= Prime k-tuple conjecture

There are infinitely many <prime k-tuples> for every admissible tuple.

Generalization of the <Twin prime conjecture>.

As of 2023, there was no specific admissible tuple for which it had been proven that there infinite of, only bounds of type:
> there are infinitely 2-tuple instances with at most a finite bound
But these do not specify which specific tuple, e.g. <Yitang Zhang's theorem>.