http://www.bing.com:80/search?q=Primitive+Data+Types+vs+Reference+Data+Types+Memory+Location+DiagramSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Primitive+Data+Types+vs+Reference+Data+Types+Memory+Location+DiagramCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/795414/what-are-primitive-roots-modulo-nThe 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 $m\ge0$Wed, 25 Mar 2026 15:42:00 GMThttps://math.stackexchange.com/questions/4896602/the-primitive-nth-roots-of-unity-form-basis-over-mathbbq-for-the-cycloWe 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 above to some power, then multiply them. When the number of primes is small, or at least fixed, the notations are simpler.Tue, 07 Apr 2026 17:43:00 GMThttps://math.stackexchange.com/questions/124408/finding-a-primitive-root-of-a-prime-numberHow would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? ThanksMon, 06 Apr 2026 15:28:00 GMThttps://math.stackexchange.com/questions/4694030/primitive-and-modular-ideals-of-c-ast-algebrasSo $\ker\pi$ is primitive but not modular. To find a modular ideal that is not primitive, we need to start with a unital C $^*$ -algebra (so the quotient will be unital) and consider a non-irreducible representation.Wed, 08 Apr 2026 18:10:00 GMThttps://math.stackexchange.com/questions/2040623/primitive-6th-root-of-unityI don't understand. Why do we automatically have $\frac {1+\beta} {2}$ a $6^ {th}$ root of $1$. And why does cubing show it is primitive?Fri, 10 Apr 2026 05:50:00 GMThttps://math.stackexchange.com/questions/866901/primitive-roots-modulo-nIt 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.Fri, 10 Apr 2026 06:48:00 GMThttps://math.stackexchange.com/questions/5107032/are-all-natural-numbers-except-1-and-2-part-of-at-least-one-primitive-pythagorHence, 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 as the hypotenuse, but I haven't been able to prove that none exist.Tue, 07 Apr 2026 15:05:00 GMThttps://math.stackexchange.com/questions/4055365/equivalent-definition-of-primitive-dirichlet-characterA character is non-primitive iff it is of the form $1_ {\gcd (n,k)=1} \psi (n)$ with $\psi$ a character $\bmod m$ coprime with $k$. A character $\bmod p^2$ can be primitive with conductor $p$.Sat, 04 Apr 2026 01:33:00 GMThttps://math.stackexchange.com/questions/793558/find-primitive-root-mod-17I have to list the quadratic residues of $17$ and find a primitive root. I have calculated that: Quadratic residues $\\text{mod 17}$ are $1,2,4,8,9,13,15,16.$ How am I then meant to use this to obta...Mon, 06 Apr 2026 06:52:00 GMThttps://math.stackexchange.com/questions/1324/what-is-a-primitive-polynomial9 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 it in more detail. I'm unsure of what a primitive polynomial is, and why it is useful for these random number generators.Tue, 07 Apr 2026 23:33:00 GMT