Proposition: Every integer has an interesting property that can be described in 19 words or less.
Proof by contradiction: Suppose that there exists numbers which do not have an interesting property. Let be the smallest of these numbers by the Well-Ordering Principle. Then,
"S is the smallest integer that cannot be described in 14 words or less."
which is a contradiction.
The point of this note is to list out an interesting property for each positive integer. Reply to the largest number N, and state why N+1 is interesting in 14 words or less.
1. Start with "N is ...".
2. Make sure you use 14 words or less.
3. Do not reply out of sequence.
4. Do not reply to your own comment. (Applicable to 9 onwards)