Thanks to iNow, I was able to make this finding(unless this was already found before I found it). I was meaning to post this sometime or other, but now I have the time to do so.
When I saw the equation for the prime test, I decided to mess with it. When I took it's derivative, I found that the equation, when solving for x when y = 0, would come up with complex numbers, where the real part is 1/2. I modified the equation(only the exponents) so it would fit the characteristics of the Riemann Zeta function(though an unorthodox method, I thought it would be important).
Where s = p+1 and s must be an even number.
Now, in the paper iNow provided there didn't seem to be a reference to the relationship presented here. I think it would be interesting to investigate this because of the similarities.
One thing to point out is whenever s is odd, x equals 1/2, not 1/2 +/- ti, where t is a real number. I feel that this is not a coincidence and has relevance to the Riemann Hypothesis.
EDIT: Forgot to link the paper http://www.cse.iitk....rimality_v6.pdf
EDIT2: I just found something new after making this topic. I will post it soon.
EDIT3: Other properties I have found are:
- The amount of solutions, if s is even, that will exist is equal to p-1.
- The product of all roots will be 1/s.
- The sum of all roots will equal to p/2.
Edited by Unity+, 28 March 2014 - 08:16 AM.