[Algebra]
Problem: Compute the number of integers $n$ for which $2^{4}<8^{n}<16^{32}$.

Solution: $8^{n}=2^{3 n}$ and $16^{32}=2^{128}$. Therefore $4<3 n<128$, and $2 \leq n \leq 42$. Thus there are 41 such integers $n$.

Final answer: 41