Consider the Fermat numbers Fn=22n+1F_n = 2^{2^n} + 1Fn=22n+1. What is GCD(Fn,Fm)\text{GCD}(F_n, F_m)GCD(Fn,Fm) for n≠mn \neq mn=m?
111
222
2n+12^n + 12n+1
22n+12^{2^n} + 122n+1