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  1. What are primitive roots modulo n? - Mathematics Stack Exchange

    You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …

  2. 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

  3. 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 …

  4. 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 …

  5. 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 …

  6. How to prove that $g$ or $g+p$ is a primitive root modulo $p^a

    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 $p$.

  7. 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 …

  8. linear algebra - Primitive matrices - Mathematics Stack Exchange

    You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …

  9. 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 …

  10. 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 …