👉 The assembled math involves a blend of concepts from number theory, algebra, and analysis, primarily focusing on the properties and relationships of prime numbers and modular arithmetic. The core idea revolves around the distribution of prime numbers, encapsulated by the Prime Number Theorem, which describes how primes become less frequent as numbers grow larger. We also delve into modular arithmetic, using congruences to explore patterns and properties of integers under specific moduli. Additionally, the proof of Fermat's Little Theorem and its implications for cryptography and primality testing are key components. The analysis part often involves complex analysis, particularly the study of the Riemann zeta function, which connects prime numbers to the distribution of zeros in the complex plane, revealing deep insights into the structure and density of primes.
