
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 …
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 …
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 …
Proof of number being a primitive root - Mathematics Stack …
If g is not a primitive root, its multiplicative order is a proper divisor of p-1. As g^k belongs to the group generated by g, by Lagrange's Theorem its order divides the order of g and so it can't …
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 …
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
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 …
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 …
abstract algebra - Theorem on primitive n-th root of unity ...
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 …