The important fact is that the only numbers $n$ that have primitive roots modulo $n$ are of the form $2^\varepsilon p^m$, where $\varepsilon$ is either $0$ or $1$, $p$ is an odd prime, and $m\ge0$

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

Apr 10, 2024 · We fix the primitive roots of unity of order $7,11,13$, and denote them by $$ \tag {*} \zeta_7,\zeta_ {11},\zeta_ {13}\ . $$ Now we want to take each primitive root of prime order from …

Jul 31, 2023 · PrimitiveIdentification requires the group to be a primitive group of permutations, not just a group that can be primitive in some action. You will need to convert to a permutation group, most …

Mar 9, 2021 · Equivalent definition of primitive Dirichlet character Ask Question Asked 5 years, 1 month ago Modified 5 years, 1 month ago

Aug 22, 2020 · I want to show that this original function is not primitive recursive. Unfortunately, the original paper is only in German (from what I could find) so I set about to try it myself.

Nov 5, 2025 · Hence, all odd numbers are included in at least one primitive triplet. Except 1, because I'm not allowing 0 to be a term in a triplet. I can't think of any primitive triplets that have an even number …

May 31, 2016 · I will really appreciate if someone could give example of these and explain what makes them primitive and prime. e.g about polynomials used in Cyclic Redundancy Check that are …

Jul 14, 2014 · It can be proven that a primitive root modulo $n$ exists if and only if $$n \in \ { 1,2 , 4, p^k, 2 p^k \}$$ with $p$ odd prime. For each $n$ of this form there are exactly $\phi (n)$ primitive roots.

Dec 2, 2016 · Primitive $6^ {th}$ root of unity Ask Question Asked 9 years, 4 months ago Modified 9 years, 4 months ago