Glossary math Term Page

modular arithmetic

computation based on remainders

modular-arithmetic #math#number-theory

Related Concepts

congruence remainder divisibility modular inverse quadratic residue prime number

Core Idea

modular arithmetic is computation based on remainders. It usually makes the most sense alongside congruence, remainder, divisibility.

Why It Matters Here

Mathbong reuses this term across number-theory posts as shared vocabulary.

Posts Mentioning This Concept

[Introduction to Number Theory Series Part 11] Why Is Congruence the Language of Remainders? Learn why a ≡ b (mod n) means both equal remainders and a difference divisible by n.[정수론 입문 시리즈 11편] 합동은 왜 나머지의 언어가 될까? a≡b mod n의 의미를 나눗셈의 나머지 관점에서 설명하고, 합동이 정수론의 새로운 시야를 어떻게 여는지 정리합니다.[Introduction to Number Theory Series Part 12] Why Can We Reduce Big Numbers in Modular Arithmetic? See why addition, subtraction, multiplication, and powers stay compatible with congruence.