A converse of Bezout's theorem by Wolfgang Vogel Max-Planck-Institut für Mathematik Gottfried-elaren-8tr. 26 Federal Republic o
![elementary number theory - Understanding usage of Bezout's identity in proof of $a^x\equiv b^x, a^y\equiv b^y\pmod{m}\implies a^{\gcd(x,y)}\equiv b^{\gcd(x,y)}\pmod{m}$ - Mathematics Stack Exchange elementary number theory - Understanding usage of Bezout's identity in proof of $a^x\equiv b^x, a^y\equiv b^y\pmod{m}\implies a^{\gcd(x,y)}\equiv b^{\gcd(x,y)}\pmod{m}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/UAjWu.png)
elementary number theory - Understanding usage of Bezout's identity in proof of $a^x\equiv b^x, a^y\equiv b^y\pmod{m}\implies a^{\gcd(x,y)}\equiv b^{\gcd(x,y)}\pmod{m}$ - Mathematics Stack Exchange
BEZOUT'S IDENTITY, EUCLIDEAN ALGORITHM This document assumes the reader is familiar with the basic properties of divisibility.
![elementary number theory - Intuitive understanding of Bezout's Identity? - Mathematics Stack Exchange elementary number theory - Intuitive understanding of Bezout's Identity? - Mathematics Stack Exchange](https://i.stack.imgur.com/bI1ij.png)
elementary number theory - Intuitive understanding of Bezout's Identity? - Mathematics Stack Exchange
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