Question

Some questions concerning the generators of cyclic groups

score 71 · Answer 1 · 2026-04-12 13:46:20

71

Views

Some questions concerning the generators of cyclic groups

Published on 12 Apr 2026 - 13:46

score 242 · Answer 2 · 2026-04-14 11:01:19

242

Views

Is there any primitive root of $p$ which is not primitive root of $p^2$ without $1$?

Published on 14 Apr 2026 - 11:01

score 429 · Answer 3 · 2026-04-15 10:53:43

429

Views

If $a$ is of order $3$ mod a prime $p$, then ...

Published on 15 Apr 2026 - 10:53

score 897 · Answer 4 · 2026-04-16 19:09:07

897

Views

Show that if $p|(a^{2^n}+1)$, then $p = 2$ or $p\equiv 1 \pmod{2^{n+1}}$

Published on 16 Apr 2026 - 19:09

score 832 · Answer 5 · 2026-04-17 13:11:57

832

Views

When g and -g are both primitive roots

Published on 17 Apr 2026 - 13:11

score 1.7k · Answer 6 · 2026-04-17 02:55:28

1.7k

Views

Show that $−g$ is also a primitive root of $p$ if $p\equiv 1 \pmod{4}$, but that $ord_p(−g) = \frac{p−1}{2}$ if $p \equiv 3 \pmod{4}$.

Published on 17 Apr 2026 - 2:55

score 609 · Answer 7 · 2026-04-15 19:55:25

609

Views

The set of the primitive roots modulo $p$, with $p$ a fermat prime

Published on 15 Apr 2026 - 19:55

score 710 · Answer 8 · 2026-05-10 14:55:27

710

Views

A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.

Published on 10 May 2026 - 14:55

score 43 · Answer 9 · 2026-04-17 13:01:59

43

Views

Let the extention $GF(p^m) \supset GF(p)$ that contains roots of $p(x)=x^{p^{m}}-1$. Show that those roots are distinct and that forms a field

Published on 17 Apr 2026 - 13:01

score 144 · Answer 10 · 2026-05-10 15:46:34

144

Views

PRIMES in P paper - Lemma 4.7 - why are the polynomials $X^m$ distinct in $F$?

Published on 10 May 2026 - 15:46

score 110 · Answer 11 · 2026-04-17 07:42:59

110

Views

Prove that $\eta - \omega \notin \mathbb{Q}$ where $\omega$ and $\eta$ are two differents n-th primitive roots $\in \mathbb{C}$

Published on 17 Apr 2026 - 7:42

score 91 · Answer 12 · 2026-04-16 03:01:09

91

Views

Relation between residues and primitive roots modulo $p$

Published on 16 Apr 2026 - 3:01

score 401 · Answer 13 · 2026-04-16 15:19:28

401

Views

Given 2 is primitive root (mod p), showing that every non-zero element of Z(p) is expressable as power of [2] (mod p)

Published on 16 Apr 2026 - 15:19

score 115 · Answer 14 · 2026-04-25 18:07:14

115

Views

solutions of gold APN functions using trace function

Published on 25 Apr 2026 - 18:07

score 190 · Answer 15 · 2026-04-15 21:31:17

190

Views

Determine a Normal Basis for Galois Extension of $\mathbb{Q}$ with primitive pth root of unit (p prime)

Published on 15 Apr 2026 - 21:31

List Question

Some questions concerning the generators of cyclic groups

Is there any primitive root of $p$ which is not primitive root of $p^2$ without $1$?

If $a$ is of order $3$ mod a prime $p$, then ...

Show that if $p|(a^{2^n}+1)$, then $p = 2$ or $p\equiv 1 \pmod{2^{n+1}}$

When g and -g are both primitive roots

Show that $−g$ is also a primitive root of $p$ if $p\equiv 1 \pmod{4}$, but that $ord_p(−g) = \frac{p−1}{2}$ if $p \equiv 3 \pmod{4}$.

The set of the primitive roots modulo $p$, with $p$ a fermat prime

A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.

Let the extention $GF(p^m) \supset GF(p)$ that contains roots of $p(x)=x^{p^{m}}-1$. Show that those roots are distinct and that forms a field

PRIMES in P paper - Lemma 4.7 - why are the polynomials $X^m$ distinct in $F$?

Prove that $\eta - \omega \notin \mathbb{Q}$ where $\omega$ and $\eta$ are two differents n-th primitive roots $\in \mathbb{C}$

Relation between residues and primitive roots modulo $p$

Given 2 is primitive root (mod p), showing that every non-zero element of Z(p) is expressable as power of [2] (mod p)

solutions of gold APN functions using trace function

Determine a Normal Basis for Galois Extension of $\mathbb{Q}$ with primitive pth root of unit (p prime)

Trending Questions

Popular # Hahtags

Popular Questions