Possibility to Construct a Machine for Primality Testing of Numbers
Takaaki Musha *
Advanced Science-Technology Research Organization, Yokohama, Japan and Foundation of Physics Research Center (FoPRC), Cosenza, Italy.
*Author to whom correspondence should be addressed.
Abstract
Like the optical prism to break white light up into its constituent spectral colors, the machine to show a prime as a single spectrum is proposed. From the theoretical analysis, it can be shown that the machine to recognize the prime number as a single spectrum can be realized by using the correlation function of Riemann zeta function. Moreover, this method can be used for a factorization of the integer consisted of two primes.
Keywords: Prime, primality testing, Riemann zeta function, Platonic world factorization, savant syndrome