
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 …
What are primitive roots modulo n? - Mathematics Stack Exchange
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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
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 …
Are all natural numbers (except 1 and 2) part of at least one …
4 days ago · Hence, 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 …
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
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 …
The primitive $n^ {th}$ roots of unity form basis over $\mathbb {Q ...
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 …
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 …
Primitive polynomials - Mathematics Stack Exchange
Aug 10, 2015 · 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 …