The Advanced Conjectures for the Prime Number Theorem

Abstract

This paper examines the distribution of the prime numbers using epidemiological statistical methods. First, we will show more advanced conjectures of the prime number theorem in two forms. 

One is, like conventional conjecture, when drawn on coordinates, it becomes a curve. However, we aim for the curve to pass through the center of the dispersion of the prime counting function. And we obtain the results worthy of publication in this regard.

The other one is what we call the corridors for the prime number theorem. As x increases, a larger proportion of π(x) gathers in what we call the main corridor.

Next, we will clarify the process of acquiring this theory. Initially, we will clarify how the basic form of the conjecture is determined. Then, we will describe the process of obtaining the value for α used in this conjecture. Through this, we can share the results and origins of these conjectures.

At the end, we declare our achievement, even though we acknowledge that this is only a prediction rather than a proof.