I'm trying to understand what primitive roots are for a given $\bmod\ n$. Wolfram's definition is as follows: A primitive root of a prime $p$ is an integer $g$ such ...

Jan 6, 2019 · If I had to guess, I would say that calling the antiderivative as primitive is of French origin. Is one term more popular than the other?

Aug 10, 2015 · What do you call "primitive polynomial over a finite field" to, please? Could it be you actually meant "irreducible"?

May 16, 2023 · How would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks

Jul 23, 2018 · So I encountered this proof on a Number Theory book, I will link the pdf at the end of the post (proof at page 96), it says: "Every prime has a primitive root, proof: Let p be a prime and let m be a

Sep 1, 2015 · I have read that, but essentially what I want to know is, can a primitive root be defined in a simpler, easier to understand way? For my level of mathematics, some of the more formal definitions …

Nov 18, 2016 · Ex. x^2+1 is the minimal polynomial of i. Primitive Polynomial: The minimal polynomial of a primitive element (a generator of the multiplicative group) of a finite field. Ex. If $\alpha$ is the root …

Jan 12, 2019 · How can one check that a polynomial is primitive polynomial or not? I have following polynomial $f(x) = x^3 + x^2 + 1$ and i want to know if i can use it to generate ...

Dec 8, 2013 · This is hard. To see how hard,have a look at this paper: Finding primitive elements in finite fields of small characteristic.

I think you may be hoping for more of an insight, but "primitive notion" simply means a syntactic element that appears in the Axioms with no definition in terms of simpler elements. We have to start …