[UPDATE: It just occured to me that it might not be obvious to the nonmathematical reader that this is a joke. Some proofs are this simple - but mathematicians do other things than consider number specialness during working hours (which to many is the same as waking hours)]

There's a delicious nonconstructive proof that all numbers are special (if not, the set of nonspecial numbers would have a least element - but that would by definition be quite special - a contradicton) but not only that, there's also What's Special About This Number - a directory of number specialness. There's a slightly more serious resource somewhere on number series, but I can't seem to locate it.