I can confidently say that the space to uniquely describe a truly uniformly random number between googleplex and graham's number is so large, THE PROGRAM cannot be written down in this universe even with all the atoms in the universe at our disposal.
Graham's number is very very very large. It is finite, it is an integer, but it is absurdly huge. Graham can describe Graham's number, but arbitrarily / uniformly picking a number close to it at random is basically impossible.
Graham's number is very very very large. It is finite, it is an integer, but it is absurdly huge. Graham can describe Graham's number, but arbitrarily / uniformly picking a number close to it at random is basically impossible.