1) Show that ifais a positive integer and $\displaystyle a^m + 1$ is an odd prime, then $\displaystyle m = 2^n$ for some nonnegative integern.

2) Find all primes of the form $\displaystyle 2^2^n + 5$, wherenis a nonnegative integer. (Its 2^(2^n), meaning thenis another exponent, I just couldn't get it to work with Latex.)