Wednesday, June 20, 2007

Prime Summary

Three Hundred Ninety Second Post: Prime Summary

On 20070609 I posted a solution to Prime numbers. The equations can be tricky because there are so many of them. Just remember everything is based on S = r * angle in radians. The concept is simple once you know why those equations were chosen. Everything is algebra and trigonometry. Originally I tried integrals and series and neither produced the desired result. I had a plan to use a Laplace transformation of the equation I was trying to find. Then I realized this was getting way to complicated. So I went back to the basics and used geometry combined with trigonometry equations. The result it what is on Constructor’s Corner.

Where do we go from here? Well it would be nice to see an improved algorithm that better describes the Primes. Also how does this theory relate to other applications of Prime numbers? What is the highest Prime number that can be found? And how does this relate to cryptography and encryption? This theory, granted its math holds true, is just a step to other math applications.

Remember feedback is welcome. I am trying to write everything as detailed and easy to understand as possible. However this stuff is hard to organize. Be sure to check out all the math hunches at Constructor’s Corner.

May the Creative Force be with You!

Thursday, June 07, 2007

Three Hundred Ninety First Post: Primes Solved ???

Three Hundred Ninety First Post: Primes Solved ???

On 20070605 I posted an equation to Constructor’s Corner which claimed that how to determine if a number is prime was solved. Looking at the equation you can instantly tell that claim is not true. Or is it?

The equation basically sets a number equal to itself. However the point is made not with the equation but with the values on the logarithmic spiral. If the values for the logarithmic spiral or the previous hunch of the involute can be solved for the pattern between prime numbers will be solved.

Not an easy task. No way as easy as the algebraic equation that always solves true. But I didn’t say it was easy. I just said it was interesting.

Keep posted to Constructor’s Corner for more content. And May the Creative Force be with You!