KimchiChic
Tue Aug 13 2024
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7 answers
1968
How to get the primitive roots?
I'm curious about the process of obtaining primitive roots. Could you explain in simple terms how one goes about finding them? What mathematical concepts are involved, and are there any specific algorithms or methods that are commonly used? Additionally, are there any challenges or limitations that one might encounter when trying to determine primitive roots? I'm eager to learn more about this fascinating topic and how it relates to cryptography and number theory.
Maria
Mon Aug 12 2024
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6 answers
1156
Do all prime numbers have primitive roots?
Could you clarify, are you asking if every prime number possesses at least one primitive root? It's a fascinating question that delves into the realm of number theory. Prime numbers, by definition, have only two distinct divisors: one and themselves. But do these numbers inherently possess a special number, known as a primitive root, which generates all the non-zero residues modulo that prime when raised to various powers? Let's explore the intricacies of this query together.
