I'm sure most of you have heard of the argument that all numbers are interesting: If any uninteresting numbers exist, there must be a "smallest" uninteresting number, which would make it interesting – a contradiction. But I don't buy that. I would like to find at least 2 interesting things about every number below 20. I realize that this is an odd request, but I am making a presentation and would appreciate your input. Here is what I have so far:
0- It is one of the fundamental mathematical constants. Nuff said.
1- It is one of the fundamental mathematical constants. Nuff said.
2- Only even prime; a^n + b^n = c^n only works for n<2;
3- First odd prime; It is a Heegner number.
4- Number of quadrants for the Cartesian Plane; It is a Smith Number.
That's all I have so far. Any input would be appreciated. Thanks.