JEE Main 2022 · 25 Jul · Shift 2, Mathematics question 21

Let $A=\{1,2,3,4,5,6,7\}$. Define $B=\{T\subseteq A:\text{ either }1\notin T\text{ or }2\in T\}$ and $C=\{T\subseteq A:T\text{ the sum of all the elements of }T\text{ is a prime number}\}$. Then the number of elements in the set $B\cup C$ is ______.