Definition:Prime Triplet
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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 $\set {n, n + 2, n + 4}$.
- Results about prime triplets can be found here.
Sources
- 1979: G.H. Hardy and E.M. Wright: An Introduction to the Theory of Numbers (5th ed.) ... (previous) ... (next): $\text I$: The Series of Primes: $1.4$ The sequence of primes