Computational Number Theory

Computational Number Theory is a branch of mathematics that combines number theory, which studies properties of integers, with computer science to solve complex problems using algorithms. It focuses on efficient methods for tasks like factorizing large numbers, finding prime numbers, and solving equations. Applications include cryptography, where secure communication relies on understanding the structure of numbers. By leveraging computational techniques, researchers can tackle questions that would be impractical to solve manually, pushing the boundaries of what we can understand and achieve with numbers.