A prime triplet is a prime constellation of the form (p, p + 2, p + 6), (p, p + 4, p + 6), etc. Hardy and Wright conjecture, and it seems almost certain to be true, that there are infinitely many prime triplets of the form (p, p + 2, p + 6) and (p, p + 4, p + 6).

integer sequence primes | prime constellation | prime quadruplet | twin primes