I have always been interested in physics, which does require some understanding of math... but I am a long way from being a mathematician or a physicist. I suppose you could call me a hobby physicist. Like many, I anxiously await the CERN Large Haydron Collider coming online this year.
In 2006, I read an article about an apparent relationship between prime numbers and quantum physics. If you are interested you can read that article here. I think it was that article that seeded my curiosity in prime numbers.
Earlier this year I decided to have a look at prime numbers... looking at the primes, gaps between them... and then looking at binary representations of them. It was interesting, but no patterns jumped out at me. I wasn't really expecting to find anything, that plan of attack has been done to death and there are many truly brilliant minds that have analysed prime number distribution... long before computers became a reality.
I thought I would have a look around to see what others have done to find order in the apparent chaos of the prime numbers. This is when I found out about the Ulam spiral.
I am a very visual person, when I was young I was known for (amongst other things I hope) my skill at finding things that had been dropped on the floor. Coins were always a good thing to spot. The observation that the primes numbers appear to clump in lines fascinated me... it was a way of visualising a pattern in the apparent chaos.
In a way I am glad that at this stage I did not stumble accross the excellent website www.numberspiral.com by Robert Sacks (which I highly recommend you visit) because I doubt I would have continued looking at the Ulam Spiral. Robert Sacks site has a mathematical explanation for many of the things you will find on this site and more. The Sacks Spiral which rotates about the squares (0,1,4,9,16...) is in many ways a better way of representing the integers in a spiral shape when looking at the things I have been looking at, because it turns out they are related to quadratic equations (y = ax2 + bx + c)
A lot of what I was looking at with intrigue now seems so obvious and in some ways trivial. However, I thought I would try and present this site as an evolution of discovery. Apologies if the site seems a bit rushed to begin with, the site will evolve and I will organise content as I go. There are quite possibly errors in the content here and there as I have forged onto looking at new things (e.g. www.PrimeGaps.com)