Volume 4, Number 1, April 2024 | Lolav Ahmed Khalil
This research explores the distribution of prime numbers, a fundamental topic in number theory. The study proposes that prime numbers can be derived from even numbers with exactly four factors by dividing them by 2, resulting in a sequential order of prime numbers. The hypothesis was tested and confirmed through practical applications of a mathematical formula. Additionally, the study found that even numbers greater than or equal to 8 with six or more factors produce complex numbers. The research contributes two main findings: a mathematical formula for the distribution of prime numbers and a formula for the distribution of complex numbers. These findings have potential applications in cryptography and problem-solving in number theory. The study also discusses historical context, methods for identifying prime numbers, and the properties of prime numbers, including their role in cryptography and the Riemann Hypothesis. The empirical analysis supports the hypothesis that prime numbers can be determined through the division of specific even numbers, providing a new perspective on the distribution of larger primes. The factor tree method is used to visually represent the factorization process, aiding in understanding the composition of numbers. The results contribute to the broader field of number theory and suggest further research in cryptography and other mathematical areas.This research explores the distribution of prime numbers, a fundamental topic in number theory. The study proposes that prime numbers can be derived from even numbers with exactly four factors by dividing them by 2, resulting in a sequential order of prime numbers. The hypothesis was tested and confirmed through practical applications of a mathematical formula. Additionally, the study found that even numbers greater than or equal to 8 with six or more factors produce complex numbers. The research contributes two main findings: a mathematical formula for the distribution of prime numbers and a formula for the distribution of complex numbers. These findings have potential applications in cryptography and problem-solving in number theory. The study also discusses historical context, methods for identifying prime numbers, and the properties of prime numbers, including their role in cryptography and the Riemann Hypothesis. The empirical analysis supports the hypothesis that prime numbers can be determined through the division of specific even numbers, providing a new perspective on the distribution of larger primes. The factor tree method is used to visually represent the factorization process, aiding in understanding the composition of numbers. The results contribute to the broader field of number theory and suggest further research in cryptography and other mathematical areas.