Significant Progress in The Analysis of Predictibility of Prime Patterns

My obsession on pattern of prime distribution continues. I conjectured to myself that pattern exists in the prime number distribution. If this conjecture is true then there will always be a method to confirm or dis-confirm it.I don't know if there is such theorem that describe the conjecture, if there is one then it is sure difficult to find it. This knowledge is dangerous indeed because if the conjecture is found true then the security of the algorithms which relies on the difficulties of computation of prime numbers is indeed compromised.

I continued my work on the magic triangle I have invented long ago, 7 years ago probably. Earlier on, I had found the basic properties of the triangle, and deducing several theorem that describes the properties and characteristics. Even so, I felt that the theorem was incomplete.

I continued working on triangle since several nights ago. Sudden urge. I end up writing down several more theorem and proving it as well. More ideas coming but some theorem needs more thoughts right now. Previously, I was working with integers. Integer numbers are easier to work with and the basic properties of the triangle was defined around integers. I proved that it works well with any integer series because any integer series is a well defined set of integer numbers, or in other word, it has structure or pattern (with regard to its distribution).

I started working on structure of integers which has no pattern, the prime number. It is difficult to predict what is the next prime number, unlike the normal integer series. Non-trivial solution shows that I can get the next prime number using the magic triangle. How it works is beyond the scope of this blog. I hypothesized that prime number is predictable exactly to the range small enough for computation to be performed to find the number. To prove this hypothesis, I need to prove that the prime number distribution has particular pattern and structure which enables it to be predictable. The triangle gives me a small insights on how to go about this proving. However, I encounter another problem. To prove that something has pattern, one has to know what is the pattern look like. In my case, I don't know. It was proven that prime numbers are infinite. But nobody has never shown how an infinite look like. Infinite is equally similar to void. I void has structure then infinite should have a structure too. If void has pattern and structure, then it has to be quantifiable or described mathematically and it is predictable. My idea is that if the n-th prime number is predictable then there is no prime numbers that is not predictable within certain set of distribution. If there is an infinite distribution then infinite can be described, therefore void is proven.

I probably end up in an asylum, just like the others. But I am not mad. I just think too much. I hope my lifetime is enough for me to make at least some small fraction of this ideas to be formally written down.