The infinite sequence \(S=\{s_1,s_2,s_3,\ldots\}\)is defined by \(s_1=7\) and \(s_n=7^{s_{n-1}}\)for each integer \(n>1\). What is the remainder when \(s_{100}\) is divided by 5.
The remainder when $s_{100}$ is divided by 5 is $\boxed{4}$.
+140 
