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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. 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.

  4. 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 …

  5. A primitive root modulo p is a primitive root modulo $p^2$ if and only ...

    Sep 25, 2022 · For what you are finally supposed to show, you now know that if $g$ is a primitive root mod $p^2$, $g^ {p-1} \not\equiv 1 \bmod p^2$ and $\textbf {vice versa}$.

  6. The Ackermann's function "grows faster" than any primitive recursive ...

    Apr 10, 2015 · The "grows faster" argument accomplishes this. If the Ackermann function grows faster than any primitive recursive function, it doesn't equal any of them. In order to make the "grows faster" …

  7. Primitive of a Group Action - Mathematics Stack Exchange

    Feb 12, 2018 · Let $G$ be a group acting transitively on a set $X$. A nonempty subset $B$ of $X$ is called a block for $G$ if for each $g\\in G$ either $gB=B$ or $gB\\cap B ...

  8. Equivalent definition of primitive Dirichlet character

    Mar 9, 2021 · Equivalent definition of primitive Dirichlet character Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago

  9. primitive idempotents in semisimple rings - Mathematics Stack Exchange

    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.

  10. Primitive recursion and $\Delta^0_0$ - Mathematics Stack Exchange

    Jun 21, 2015 · For example, a function is primitive recursive if its algorithm is described by means of "only for-loops, not while-loops". How the intuition for $\Delta^0_0$ relations are different from that …