List questions from primitive-roots

Published on 23 Feb 2026 - 6:37

677

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Prove that it is not a primitive root module $p^2$

Published on 27 Dec 2016 - 11:10

239

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Are non-squares primitive roots?

Published on 12 Jan 2017 - 22:21

121

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Express complex number in terms of radicals

Published on 28 Mar 2026 - 3:34

326

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Find primitive-$n$-th roots of unity over finite field $\mathbb{F}_a$??

Published on 12 Feb 2017 - 9:12

2.3k

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Determine every degree 4 primitive polynomial in $GF(2)[x]$

Published on 17 Feb 2017 - 13:06

811

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Question About Primitive Root of Unity

Published on 28 Mar 2026 - 6:59

341

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Simple question about generating random primitive roots for a large prime

Published on 17 Mar 2017 - 2:20

637

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Hint for Number Theory question.

Published on 17 Mar 2017 - 19:55

2.5k

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Why are primitive roots called generators?

Published on 18 Mar 2017 - 6:35

264

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Verify that $x$ is a primitive root modulo $n$

Published on 20 Mar 2017 - 21:28

68

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How to interpret this comment from OEIS A050229?

Published on 26 Mar 2026 - 12:33

361

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How to prove $r^{\phi(m)/2} \equiv -1\pmod m$ if $r^{\phi(m)} \equiv 1\pmod m$?

Published on 29 Mar 2017 - 1:28

88

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How to show the degree $[\Bbb Q(\alpha _n+\frac{1}{\alpha_n}) : \Bbb Q]$ is $\phi(n)/2$, where $\alpha_n$ is a primitive $n$-th root of unity?

Published on 25 Mar 2026 - 14:46

69

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Do these two theorems come from Gauß?

Published on 02 Apr 2017 - 15:06

List Question

For which Mersenne primes and Fermat primes is 2 a primitive root?

Prove that it is not a primitive root module $p^2$

Are non-squares primitive roots?

Express complex number in terms of radicals

Find primitive-$n$-th roots of unity over finite field $\mathbb{F}_a$??

Determine every degree 4 primitive polynomial in $GF(2)[x]$

Question About Primitive Root of Unity

Simple question about generating random primitive roots for a large prime

Hint for Number Theory question.

Why are primitive roots called generators?

Verify that $x$ is a primitive root modulo $n$

How to interpret this comment from OEIS A050229?

How to prove $r^{\phi(m)/2} \equiv -1\pmod m$ if $r^{\phi(m)} \equiv 1\pmod m$?

How to show the degree $[\Bbb Q(\alpha _n+\frac{1}{\alpha_n}) : \Bbb Q]$ is $\phi(n)/2$, where $\alpha_n$ is a primitive $n$-th root of unity?

Do these two theorems come from Gauß?

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