Difference between revisions of "Modular inverse"
Scrabbler94 (talk | contribs) |
|||
| Line 1: | Line 1: | ||
| − | In | + | In [[modular arithmetic]], given a positive integer <math>m</math> and an integer <math>x</math>, we say that <math>y \in \{1,2,3,\ldots,m-1\}</math> is the modular inverse of <math>x</math> if <math>xy \equiv 1 \pmod{m}</math>. The inverse of <math>x</math> is commonly denoted <math>x^{-1}</math>, and exists if and only if <math>x</math> is relatively prime to <math>m</math>. |
| − | |||
| − | < | ||
| − | |||
| − | and if x is | ||
Revision as of 03:05, 20 May 2024
In modular arithmetic, given a positive integer 
and an integer 
, we say that 
is the modular inverse of if 
. The inverse of is commonly denoted 
, and exists if and only if is relatively prime to .
