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NUMBER THEORY IN STATISTICS: EXPLORING PRIME NUMBERS AND DIOPHANTINE EQUATIONS

ABSTRACT

The field of statistics has seen a number of exciting uses of number theory throughout the years. This survey paper’s goal is to draw attention to certain particularly significant examples of uses of this kind. The study of prime numbers is a component of number theory that is both fascinating and difficult to investigate. Equations based on the diophantine approximation are at the heart of number theory. A Diophantine equation is a kind of problem that can only be solved by integrating the given numbers. In the first section of this article, we will talk about various issues that are associated with prime numbers as well as the function of Diophantine equations in Design Theory. A quasi-residual Metis design has its Fibonacci and Lucas numbers discussed, as have their contributions to the design. The Discrete Logarithm problem is a well-known issue that arises in the context of finite fields. The structure of the Discrete Logarithm is dissected in detail in the next section of this article.

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