Tip: What is \(2^{16}\)? How does this help you estimate the next number in the sequence?
Tip: What is the smallest power of \(2\) that is \( >100\), and how can this help?
Tip: How can we use \(2^{10}\) and \(10^{3000}\) to prove \(2^{65536}>10^{3000}\)?