The Nature of Prime Numbers: A Mathematical Primer This paper explores the definition, properties, and significance of prime numbers within the field of number theory. By distinguishing prime numbers from composite numbers and examining their role as "building blocks" for all natural numbers, this study highlights why these integers remain a central focus of mathematical research. 1. Introduction
There are several methods for determining if a number is prime:
The number 2 is the smallest prime number and is unique for being the only even prime number.
Whole numbers greater than 1 that have more than two factors are known as composite numbers. For example, 6 is composite because its factors are 1, 2, 3, and 6. 3. Identifying Prime Numbers