01.10.23
The previous weeks I thought if we cannot find any patterns in prime-numbers because we do not look at the whole set. Maybe there is a bigger set which also contains primes-numbers. If we can define such a set and can filter the normal primes we maybe can define a function which maps all primes.
First we define a new set which is a subset of the complex-numbers named Demi Complex Numbers denoted with .
It is now possible to define a new prime like set named the Demi Complex Primes denoted with .
This set looks like the following:
We can see that the set is symmetric on the zero-axis and on the diagonal. We now define the function which is basically aligning the diagonals to the verticals.
It is now evident that the diagonals repeat themselves after the line defined by the function .
Given two sets
The following needs to be proven:
The next step is to create a function which predicts either the or its pattern in a other way.