Question

Prove that number is a primitive root for all $k$ in range

score 104 · Answer 1 · 2026-04-13 17:23:56

104

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Prove that number is a primitive root for all $k$ in range

Published on 13 Apr 2026 - 17:23

score 37 · Answer 2 · 2026-04-12 02:35:49

37

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Primitive roots in arithmetic progression

Published on 12 Apr 2026 - 2:35

score 491 · Answer 3 · 2026-04-16 04:54:30

491

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Given that $5$ is a primitive root of $73$, find all solutions to $x^3 - 1 ≡ 0$ (mod $73$).

Published on 16 Apr 2026 - 4:54

score 525 · Answer 4 · 2026-04-17 08:20:05

525

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For which primes p will there be a solution to $x^3 + 1 ≡ (\mod p) $other than $x ≡ - 1 (\mod p)$

Published on 17 Apr 2026 - 8:20

score 264 · Answer 5 · 2026-04-15 05:12:32

264

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In general, do primes of the form $a×2^{n}+1$always have primitive $2^n $th roots of unity (modulo that prime)?

Published on 15 Apr 2026 - 5:12

score 44 · Answer 6 · 2026-04-16 12:05:11

44

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upper bound on, or fast algorithm to find, an order $2^n$ element in the multiplicative group modulo prime $q(2^n)+1$

Published on 16 Apr 2026 - 12:05

score 39 · Answer 7 · 2026-04-16 12:24:40

39

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proving that an element g is primitive

Published on 16 Apr 2026 - 12:24

score 443 · Answer 8 · 2026-04-13 12:07:46

443

Views

Prove reciprocal polynomial is not primitive(field).

Published on 13 Apr 2026 - 12:07

score 219 · Answer 9 · 2026-04-14 21:20:02

219

Views

How to solve $7^x -5x^3 \equiv 0 \quad \pmod{11}?$

Published on 14 Apr 2026 - 21:20

score 49 · Answer 10 · 2026-04-13 16:23:55

49

Views

Why is it sufficient to only check ${s/p_i}$ powers in finding primitive root?

Published on 13 Apr 2026 - 16:23

score 331 · Answer 11 · 2026-05-01 12:43:56

331

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Finding all solutions of 'Discrete Root'

Published on 01 May 2026 - 12:43

score 39 · Answer 12 · 2026-04-15 08:51:30

39

Views

Let $w \in G_{15}$ be a primitive root. Find every $n \in \mathbb{N}$ such that $\sum_{i=2}^{n-1} w^{3i} = 0$

Published on 15 Apr 2026 - 8:51

score 43 · Answer 13 · 2026-04-14 13:58:01

43

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Let $w\in G_{18}$ be a primitive root of unity. Prove that $w^{16} \sum_{j=1}^{17}(w^3 \overline{w})^{3j+1}$ is imaginary pure.

Published on 14 Apr 2026 - 13:58

score 157 · Answer 14 · 2026-05-10 20:17:24

157

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Rational coefficients of the prime roots of unity (basis set in $\mathbb{Q}$).

Published on 10 May 2026 - 20:17

score 192 · Answer 15 · 2026-04-14 05:24:22

192

Views

Prove that numbers relatively prime to $n$ are congruent modulo $n$ to powers of primitive root of $n$

Published on 14 Apr 2026 - 5:24

List Question

Prove that number is a primitive root for all $k$ in range

Primitive roots in arithmetic progression

Given that $5$ is a primitive root of $73$, find all solutions to $x^3 - 1 ≡ 0$ (mod $73$).

For which primes p will there be a solution to $x^3 + 1 ≡ (\mod p) $other than $x ≡ - 1 (\mod p)$

In general, do primes of the form $a×2^{n}+1$always have primitive $2^n $th roots of unity (modulo that prime)?

upper bound on, or fast algorithm to find, an order $2^n$ element in the multiplicative group modulo prime $q(2^n)+1$

proving that an element g is primitive

Prove reciprocal polynomial is not primitive(field).

How to solve $7^x -5x^3 \equiv 0 \quad \pmod{11}?$

Why is it sufficient to only check ${s/p_i}$ powers in finding primitive root?

Finding all solutions of 'Discrete Root'

Let $w \in G_{15}$ be a primitive root. Find every $n \in \mathbb{N}$ such that $\sum_{i=2}^{n-1} w^{3i} = 0$

Let $w\in G_{18}$ be a primitive root of unity. Prove that $w^{16} \sum_{j=1}^{17}(w^3 \overline{w})^{3j+1}$ is imaginary pure.

Rational coefficients of the prime roots of unity (basis set in $\mathbb{Q}$).

Prove that numbers relatively prime to $n$ are congruent modulo $n$ to powers of primitive root of $n$

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