APPLICATION OF DIFFERENTIAL EQUATION IN ENGINEERING AND ENGINEERING AND PHYSICS

Abstract

A profound comprehension of the manner in which prime numbers are dispersed among the natural numbers is made possible by the Prime Numbers Theorem, which is widely regarded as one of the most important contributions to the field of number theory. With its clever logic and elegant language, the theorem demonstrates the underlying regularity that continues to exist even when prime numbers seem to arise at random. A quantitative understanding of the prime distribution may be obtained by the use of the natural logarithm function, which yields the asymptotic density of primes. Primordial numbers have the potential to expand indefinitely, which is the reason for this phenomenon