
calculus - Why is "antiderivative" also known as "primitive ...
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 …
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
What are primitive roots modulo n? - Mathematics Stack Exchange
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 $m\ge0$
elementary number theory - Find all the primitive roots of $13 ...
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 …
Show that $2$ is a primitive root modulo $13$.
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 …
Proof of existence of primitive roots - Mathematics Stack Exchange
Proof of existence of primitive roots Ask Question Asked 11 years, 6 months ago Modified 11 years, 6 months ago
Primitive polynomials - Mathematics Stack Exchange
Jul 14, 2016 · A polynomial with integer coefficients is primitive if its content (the GCD of its coefficients) is 1. You can simply enumerate the primitive monic quadratic polynomials (depicted as ordered …
What is a primitive root? - Mathematics Stack Exchange
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 …
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 …
complex analysis - Do holomorphic functions have primitive ...
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 …