- Thread starter
- #1

- Feb 15, 2012

- 1,967

Anyone can post in this thread, but the rules are:

1. The numbers must be single digit (you can cheat if you use hexadecimal, hint, hint).

2. 1 doesn't count (it's not prime, so go away).

3. If a closed form is not available, you can only use 20 symbols or less to describe it (words will count as one symbol).

4. Extra points if the number is natural.

A famous story is told about some Indian guy riding in a taxi-cab to meet a "real" mathematician (the famous Mr. Hardy. Bow down before your English masters!) who thought the taxi-cab number was interesting, after all. He was wrong, and *that* number is MUCH TOO BIG.

At the moment, my favorite number is 3...it's prime, it's very odd, and I have yet to unravel it's deepest mysteries (why does period 3 imply chaos? I really would like to know...). The fact that $\Bbb Z_3$ can be written as {-1,0,1} saves me lots of time while typing, because when I need some larger digit, I often have to look up what it is in a numerical dictionary (yes...I am *that* lazy).

3 is also my favorite counter-example...in group theory I often use $S_3$ to disprove mistaken "theorems" (such as the infamous Converse Lagrange Theorem), and my personal Anti-Riemann Hypothesis is: the smallest exception to the Riemann Hypothesis is of the form:

$\frac{1}{2} + 3ki$

for some real number $k$).

(P.S. Don't take what I say too seriously. I lie. A LOT.).