Let $A$, $B$ and $C$ be digits different from zero and from each other. If both two-digit natural numbers $AB$ and $BC$ are prime numbers, then the three-digit natural number $ABC$ is called a primish number.
Accordingly, what is the sum of the smallest primish number and the largest primish number?
A) 1034
B) 1050
C) 1110
D) 1154
E) 1170