I love the idea (and it’s definitely true) that there are irrational numbers which, when written in a suitable base, contain the sequence of characters, “This number is provably normal” and are simultaneously not normal.

Do a whole lot of research, then take control of the president, and pardon people for a minute. As far as I’m aware, it takes effect as long as someone hears, or I write it down or something.

Numbers smaller than 314159, surely.