Interesting number paradox

The *interesting number paradox* states that all natural numbers are interesting.

The proof goes like this: Assume there were uninteresting numbers at all. Then, in the set of uninteresting numbers, there would be a smallest one. But this number would then be interesting for the property of being the *smallest uninteresting number*. This contradiction shows that the set of uninteresting numbers must be empty.

Some have attempted to find this "smallest uninteresting number" anyway. The smallest number not in OEIS, the *Online Encyclopedia of Integer Sequences*, is currently 17843. The smallest number which does not have its own Wikipedia article is 262. And the smallest number that has no special properties listed anywhere in Wikipedia except for a prime factorization is 275.