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 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 …

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 …

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.

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 …

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 exactly the same …

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

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 …

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 you need.

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