Properties of prime numbers and their relation to sound vibrations

Abstract

Abstract The article introduces new properties of prime numbers. An alternative method for finding prime numbers using linear algebra tools is discussed. The probabilistic approach is used to analyze the use of a new property as a means of finding prime numbers. Mathematical calculations of determinants composed of prime numbers were converted to sound according to a given pattern. To optimize the process of calculating and converting numbers to, a software implementation was performed. A MIDI format saved in a folder has been created. In the process of processing the received data, the program recorded a melody, which, when changing scales, gives a beautiful sound.