Those of you who've had the

Yeah, it's a pretty stupid joke. It goes over slightly better in class.Theorem: There are no uninteresting natural numbers.Proof: Notice that the first several natural numbers have interesting properties. 0 is the additive identity; 1 is the multiplicative identity; 2 is the first prime; 3 is the first odd prime; 4 is the first composite number; 5 is the first number which is the sum of two different primes, and so on. So, suppose by contradiction that there are uninteresting natural numbers. LetUbe the set of uninteresting natural numbers; as a subset of the natural numbers, by the Well-Ordering Principle,Uhas a least elementn. But the smallest element of a set is by definition interesting, soncannot exist. Thus,Ucannot exist, and all natural numbers are interesting.

Anyways ... the web page linked above is one person's attempt to find the interesting properties of all numbers between 0 and 9999. Not every number has a property yet ... but an amazing number do have.