Youd's Constant
0.30103

It's every little boy's dream to one day have a mathematical constant named after him. I decided that if this dream was to become a reality, I would have to come up with a constant, and simply name it after myself. It's not in any math journals or text books yet, so here's a sneak preview:

Youd's Constant () is the ratio between the powers of two, and the powers of ten. Check out a few sample problems that can be solved using :

Example 1:
When making a brute force attempt on cracking cyphertext encrypted with a 128-bit symmetric key, what are the expected number of tries before finding the plaintext?
(10 ^ 128) / 2 = (10^38.53184) / 2 = 5*10^37.53184 tries.
Example 2:
How many bytes are required for representing the positive integer one trillion?
Ceiling(Log 1000000000000 / 8) = Ceiling(12 / 8) = Ceiling(4.982892071) = 5 bytes.


The top 10 reasons why (Youd's Constant) is better than pi:

10)It's useful for solving problems from the "new math" books of the 60's.
9)It has a higher Kolmogorov complexity than pi.
8)Four out of five dentists prefer to pi.
7)Unlike pi, it remains constant when viewed from any relativistic frame of reference.
6)It lends itself to those with decidactyl inclinations.
5)It doesn't have any cumbersome geometric implications.
4)0 <= <= 1
3)30103 is the zip code for Adairsville, Georgia.
2) has a cool non-standard font symbol (not even in unicode!).
1)And the number one reason Youd's Constant is better than pi is that sorority members don't wear iron-on 's on their sweaters.


Jeremy Hill (jerhill@llnl.gov) was good enough to make available 2200 digits of Youd's Constant!

Here is Youd's Constant, log10(2), expressed as a nasty continuing fraction: