Define prime and composite numbers. Use prime factorization to find the greatest common divisor (GCD) and least common multiple (LCM). Understand and perform basic modular arithmetic. …

May 3, 2022 · What is Number Theory? Number Theory is the study of the properties and relationships of numbers. In this presentation, we will explore: Divisibility and Congruence Relations Euclidean …

We require, however, that a statistical test applied to them will not distinguish these numbers from randomly generated numbers. The most common procedure to generate pseudo random numbers is …

Divisibility Tests Modular arithmetic may be used to show the validity of a number of common divisibility tests.

Sep 19, 2025 · Number theory is a branch of mathematics that studies numbers, particularly whole numbers, and their properties and relationships. It explores patterns, structures, and the behaviors of …

Introduction In the next sections we will review concepts from Number Theory, the branch of mathematics that deals with integer numbers and their properties. We will be covering the following …

The property of divisibility leads to many combinations and later results. We have the following theorem.

Primes De nitions 1. A positive integer greater than 1 is prime if its only factors are 1 and itself. Otherwise, if it has more factors, we call it composite. 2. A prime factorization of a positive integer n …

Number theory is the mathematical study of the natural numbers, the positive whole numbers such as 2, 17, and 123. Despite their ubiquity and apparent sim-plicity, the natural integers are chock-full of …

In this chapter, we explained the concepts of number theory in discrete mathematics, including divisibility, prime numbers, modular arithmetic, applications in cryptography and coding, and the …