Definition:Balanced Prime/Definition 1

Definition
Let $\left({p_{n - 1}, p_n, p_{n + 1} }\right)$ be a triplet of consecutive prime numbers.

$p_n$ is a balanced prime :
 * $p_n = \dfrac {p_{n - 1} + p_{n + 1} } 2$

$p$ is a balanced prime it is the arithmetic mean of the prime numbers on either side of it.

Also see

 * Equivalence of Definitions of Balanced Prime