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  1. Finding a primitive root of a prime number

    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

  2. What is a primitive polynomial? - Mathematics Stack Exchange

    Jul 31, 2010 · 9 What is a primitive polynomial? I was looking into some random number generation algorithms and 'primitive polynomial' came up a sufficient number of times that I decided to look into …

  3. When are Idempotents elements of a semisimple algebra primitive

    Jun 26, 2024 · 1 Based on the comments, a primitive central idempotent is a central idempotent that cannot be written as a sum of two central orthogonal idempotents. If we define that a primitive …

  4. algebraic number theory - Proving Dirichlet character is primitive ...

    Sep 29, 2023 · Proving Dirichlet character is primitive Ask Question Asked 2 years, 4 months ago Modified 2 years, 4 months ago

  5. Antipode and primitive element in a Hopf algebra

    Nov 12, 2024 · Antipode and primitive element in a Hopf algebra Ask Question Asked 1 year, 3 months ago Modified 1 year, 3 months ago

  6. Ian Stewart, Definition for Primitive Root of Unity

    Sep 25, 2025 · Def 1: A primitive $n$ -th root of unity is an $n$ -th root of 1 that is not an $m$ -th root of 1 for any proper divisor $m$ of $n$. This definition seems different from what I have seen elsewhere.

  7. number theory - Given 2 is a primitive root mod 19, find all solutions ...

    Mar 23, 2019 · Could you please help me solve the following problem? 2 is a primitive root mod 19. Using this information, find all solutions to x^12 ≡ 7 (mod 19) and x^12 ≡ 6 (mod 19) I think I would …

  8. Why choose sets to be the primitive objects in mathematics rather than ...

    Jul 31, 2021 · However, it is the set, rather than the tuple, that is chosen as the primitive object. Why is it useful for the foundations of mathematics that sets have very little "structure", and would their be any …

  9. What is a free group element that is not primitive?

    May 6, 2015 · A primitive element of a free group is an element of some basis of the free group. I have seen some recent papers on algorithmic problems concerning primitive elements of free groups, for …

  10. abstract algebra - Primitive and Induced Dirichlet Characters ...

    Apr 5, 2021 · The one called "Introduction to analytic number theory", Chapter $8$ on Dirichlet characters, induced moduli and primitive characters.