Definition:Prime Triplet

Definition
A prime triplet is a set of three (positive) prime numbers either:
 * $\set {n, n + 2, n + 6}$

or:
 * $\set {n, n + 4, n + 6}$.

Also see

 * Unique Sequence of Consecutive Odd Numbers which are Prime, which demonstrates that $\set {3, 5, 7}$ is the only set of prime numbers $\set {n, n + 2, n + 4}$.