3^1 &\equiv 3 \mod 7 \\

Sun, 19 Apr 2026 14:46:59 +0000

Understanding 3¹ ≡ 3 mod 7: A Beginner’s Guide to Modular Arithmetic Modular arithmetic is a fundamental concept in number theory and cryptography, used every day in computer science, programming, and digital security. One of the simplest yet powerful examples of modular arithmetic is the expression 3¹ ≡ 3 mod 7. In this article, we’ll explore what this congruence means, how to interpret it, and why it’s important for beginners learning about modular cycles, exponents, and modular inverses. --- ### What Does 3¹ ≡ 3 mod 7 Mean?