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 …

How to find all primitive triples (a,b,c)? (Pythagorean Triples) Ask Question Asked 10 years, 8 months ago Modified 5 years, 9 months ago

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

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 $m\ge0$

Jun 6, 2016 · 2 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 …

Sep 30, 2018 · I wish to prove the following: If $p$ is an odd prime and $g$ is a primitive root modulo $p$, then either $g$ or $g+p$ is a primitive root modulo every power of $p$.

Sep 1, 2015 · I have read that, but essentially what I want to know is, can a primitive root be defined in a simpler, easier to understand way? For my level of mathematics, some of the more formal definitions …

Hence $2$ has order $12$ modulo 13 and is therefore a primitive root modulo $13$. Now note all even powers of $2$ can't be primitive roots as they are squares modulo $13$. $ (*)$

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 …

Oct 13, 2020 · For example, if $\zeta$ is a primitive sixth root of unity, then so is $\zeta^5=\zeta^ {-1}$. Of course $\zeta^3=-1$ is not a primitive sixth root of unity; it is a primitive second root of unity.