Finding Primitive Roots of a Number in Number Theory and Cryptography

Learn how to identify primitive roots modulo n, which are essential in modular arithmetic, number theory, and cryptography. Understand the concept of primitive roots and their significance in various mathematical applications.

Muhammed Mustaqim9.6K views13:04

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In modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which gk ≡ a (mod n). Such a value k is called the index or discrete logarithm of a to the base g modulo n. So g is a primitive root modulo n if and only if g is a generator of the multiplicative group of integers modulo n. DON’T FORGET TO LIKE & SUBSCRIBE TO THE CHANNEL & CLICK THE BELL ICON FOR LATEST UPDATES. YOUTUBE CHANNEL LINK : https://www.youtube.com/@Muhammed_Mustaqim

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13:04

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Published
Jan 21, 2023

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