If $2 \cdot 4^{2n+1} + 3^{3n+1}$ is divisible by $k$ for all $n \in N$,then $k=$

For all integers $n \geq 1$,which of the following is divisible by $9$?

The remainder when $7^{2022} + 3^{2022}$ is divided by $5$ is:

For all positive integers $n$,if $3(5^{2n+1}) + 2^{3n+1}$ is divisible by $k$,then the number of prime numbers less than or equal to $k$ is:

Let the number $(22)^{2022} + (2022)^{22}$ leave the remainder $\alpha$ when divided by $3$ and $\beta$ when divided by $7$. Then $(\alpha^2 + \beta^2)$ is equal to

The remainder when $7^{7^{7^{...7}}}$ ($22$ times $7$) is divided by $48$ is