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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 …

  3. 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

  4. 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 …

  5. number theory - Given 2 is a primitive root mod 19, find all …

    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 …

  6. Basis of primitive nth Roots in a Cyclotomic Extension?

    Another method to show the "only if " direction is to use the fact that the trace of $\zeta_n$ is equal to zero if n is not square free, while by definition, the trace of $\zeta_n$ in this case is …

  7. Is there a formula that genrates only and all primitive Pythagorean ...

    Sep 21, 2023 · Is there a formula that genrates only and all primitive Pythagorean triples? Ask Question Asked 2 years, 4 months ago Modified 2 years, 4 months ago

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

    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 …

  9. primitive idempotents in semisimple rings - Mathematics Stack …

    Jan 28, 2017 · Artin-Wedderburn matrix decomposition holds for every semisimple ring. The first chapter of T.Y. Lam's book "A first course in noncommutative rings" should have everything …

  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.