International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Uganda | Mathematics | Volume 10 Issue 8, August 2021 | Pages: 538 - 547


Riemann Hypothesis and the Distribution of Prime Numbers

Adriko Bosco

Abstract: The conjecture was formulated by Germany Mathematician G F Bernhard Riemannin 1859, after whom it is named. He observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function ? (s) =1+1/2s+1/4s+. . . called the Riemann Zeta function, where ? is zeta. The conjecture is in number theory in pure Mathematics. It is of great interest because it implies results about the distribution of the prime numbers. The conjecture is one of the seven millennium problems to be awarded US$ 1million each by Clay Mathematics Institute if proved by anyone.

Keywords: Riemann hypothesis, Twinprimes, Non - twin primes, Boscomplex Web Method (BWM), Flowchart



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