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Modular inverse

Revision as of 17:17, 26 June 2025 by Aoum (talk | contribs)
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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 $m$.

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