Question

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

score 101 · Answer 1 · 2019-04-28 16:26:35

101

Views

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

Published on 28 Apr 2019 - 16:26

score 34 · Answer 2 · 2019-04-29 07:37:06

34

Views

Primitive roots in arithmetic progression

Published on 29 Apr 2019 - 7:37

score 488 · Answer 3 · 2019-05-07 07:34:09

488

Views

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

Published on 07 May 2019 - 7:34

score 522 · Answer 4 · 2019-05-07 07:58:44

522

Views

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

Published on 07 May 2019 - 7:58

score 261 · Answer 5 · 2019-05-20 18:45:54

261

Views

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 20 May 2019 - 18:45

score 41 · Answer 6 · 2019-05-26 18:51:56

41

Views

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 26 May 2019 - 18:51

score 36 · Answer 7 · 2019-05-29 08:36:00

36

Views

proving that an element g is primitive

Published on 29 May 2019 - 8:36

score 440 · Answer 8 · 2019-06-03 07:35:59

440

Views

Prove reciprocal polynomial is not primitive(field).

Published on 03 Jun 2019 - 7:35

score 216 · Answer 9 · 2019-06-13 13:19:30

216

Views

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

Published on 13 Jun 2019 - 13:19

score 46 · Answer 10 · 2019-06-15 19:28:54

46

Views

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

Published on 15 Jun 2019 - 19:28

score 327 · Answer 11 · 2026-02-23 04:52:40

327

Views

Finding all solutions of 'Discrete Root'

Published on 23 Feb 2026 - 4:52

score 36 · Answer 12 · 2019-06-17 00:10:54

36

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 17 Jun 2019 - 0:10

score 40 · Answer 13 · 2019-06-24 07:34:38

40

Views

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 24 Jun 2019 - 7:34

score 155 · Answer 14 · 2026-03-25 03:21:19

155

Views

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

Published on 25 Mar 2026 - 3:21

score 189 · Answer 15 · 2019-07-02 05:36:37

189

Views

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

Published on 02 Jul 2019 - 5:36

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 $n$

Trending Questions

Popular # Hahtags

Popular Questions