👉 Mathematics, particularly in the realm of Number Theory, involves the study of integers and other whole numbers, exploring their properties, relationships, and patterns. One key area is the distribution of prime numbers, which are integers greater than 1 that have no positive divisors other than 1 and themselves. A significant find in this area is the Prime Number Theorem, which describes how prime numbers become less frequent as we move further along the number line, asymptotically approaching a predictable rate. Another crucial concept is modular arithmetic, which examines numbers under a modulus, leading to fascinating results like Fermat's Little Theorem and Euler's Totient Theorem. These mathematical tools not only solve theoretical questions but also have practical applications in cryptography and computer science, demonstrating the profound impact of mathematical discoveries on both pure and applied fields.
