Jan 6, 2019 · While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative. As others have pointed out …

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 it in more detail. …

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

I thought $\varphi (12)$ counts the number of coprimes to $12$.. Why does this now suddenly tell us the number of primitive roots modulo $13$? How have these powers been plucked out of thin air? I …

Mar 16, 2022 · There is a very deep connection between the shape of $\Omega$ and the existence of primitives on $\Omega$. For now, let's assume that $\Omega$ is connected. Then it can be shown …

Jun 6, 2016 · Primes have not just one primitive root, but many. So you find the first primitive root by taking any number, calculating its powers until the result is 1, and if p = 13 you must have 12 …

Jun 18, 2015 · Moreover the other primitive elements are obtained as powers of $2$ that are not the ones relevant to checking that $2$ is primitive, so you'd have to separately compute those powers …

Sep 10, 2020 · In some contexts, the word primitive is used to mean a polynomial whose coefficients are relatively prime. In other contexts the word primitive is used to mean a polynomial a root of which …

Dec 2, 2016 · I 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?