Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Modular inverse

Revision as of 04:05, 20 May 2024 by Scrabbler94 (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In modular arithmetic, given a positive integer $m$ and an integer $x$, we say that $y \in \{1,2,3,\ldots,m-1\}$ is the modular inverse of $x$ if $xy \equiv 1 \pmod{m}$. The inverse of $x$ is commonly denoted $x^{-1}$, and exists if and only if $x$ is relatively prime to $m$.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Modular_inverse&oldid=219538"