Dan Liu, Distribution of Prime Numbers Fundamental Theorem, BMSA Volume 3, Bulletin of Mathematical Sciences and Applications (Volume 3) https://www.scipress.com/BMSA.3.45 Abstract: In 1849, the German mathematician Gauss large average distribution density of primesnear x. Based on the density of the Gauss proposed regional distribution of prime numbers theorem.And regional distribution of prime numbers theorem proved easy to understand way. Thefundamental theorem to obtain the distribution of prime numbers. Thus proving that a new primenumber theorem. Therefore gives the details of the calculation. Keywords: Calculation, Density, Prime Number, Theorem