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 …

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 …

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 …

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 …

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 …

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 …

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

Apr 21, 2020 · Let x2 = a\mathchoice (mod p) x 2 = a \mathchoice (mod p) for a odd prime number p p. Say g g is a primitive root for mod p mod p I've known the proposition like the …

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 …