Problem #WSP-5319

Problem

For an odd number $N$ denote by $A$ the minimal positive difference between prime divisors of $N$, denote by $B$ the minimal positive difference between composite divisors of $N$. Usually we have $A<B$, but can we have $A>B$? (Disregard numbers such as $15$ where one of $A$ or $B$ is not defined)