Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is that it deals with statements that are simple to understand but are very …

Nov 20, 2025 · number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most …

By considering each case we see that the number of elements greater than p/2 is even when p = 1,7 (mod 8) and odd when p = 3,5 (mod 8). We restate this as follows.

The Riemann hypothesis, a Clay Millennium Problem, is a part of analytic number theory, which employs analytic methods (calculus and complex analysis) to understand the integers. Recent …

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 …

We only have integers, which are whole numbers, their negatives, and zero: This is Number theory, a branch of mathematics that explores the properties and relationships of integers. The …

What is Number Theory? Number theory, a branch of pure mathematics, is dedicated to understanding the properties and patterns that arise within the set of positive integers.

6 days ago · Number theory is the study of properties of the integers. Because of the fundamental nature of the integers in mathematics, and the fundamental nature of mathematics in science, …

Dec 3, 2025 · Number theory is a vast and fascinating field of mathematics, sometimes called "higher arithmetic," consisting of the study of the properties of whole numbers. Primes and …

The main goal of number theory is to discover interesting and unexpected rela-tionships between different sorts of numbers and to prove that these relationships are true.