If x is an irrational real algebraic number. Then every digit, i.e. 0,1,...,9 will appear in the decimal expansion of x. It's also right for general base-n expansions. In particular, there is no irrational algebraic number in the Cantor set.
closed as not a real question by Felipe Voloch, Mark Sapir, Yemon Choi, Aaron Meyerowitz, Zev Chonoles Mar 19 2011 at 2:38