Question

Which primes divide $x^2-5$?

score 81 · Answer 1 · 2026-04-12 17:06:37

81

Views

Which primes divide $x^2-5$?

Published on 12 Apr 2026 - 17:06

score 66 · Answer 2 · 2026-04-14 04:27:11

66

Views

Primes $p$ in which $3$ is a primitive root modulo $p$

Published on 14 Apr 2026 - 4:27

score 171 · Answer 3 · 2026-04-16 03:11:46

171

Views

$(e^{2\pi i}){}^n \neq e^{2\pi i n}$ where $n\in\mathbb{N}$?

Published on 16 Apr 2026 - 3:11

score 196 · Answer 4 · 2026-04-15 17:37:04

196

Views

$\zeta_n^k$ is primitive if and only if $(k,n) = 1$

Published on 15 Apr 2026 - 17:37

score 251 · Answer 5 · 2026-04-17 07:42:41

251

Views

Prove that a primitive $q$-th root of unity is in the algebraic closure of $\Bbb F_p$

Published on 17 Apr 2026 - 7:42

score 103 · Answer 6 · 2026-04-17 11:00:50

103

Views

Is this a valid proof of Euler's product formula for the totient function?

Published on 17 Apr 2026 - 11:00

score 1k · Answer 7 · 2026-04-12 23:19:08

1k

Views

Number of solutions of $x^e \equiv c \mod p$

Published on 12 Apr 2026 - 23:19

score 49 · Answer 8 · 2026-04-13 20:13:39

49

Views

Certain conditions for primitive roots of $n$.

Published on 13 Apr 2026 - 20:13

score 36 · Answer 9 · 2026-04-17 11:29:08

36

Views

If $(a,m)=(b,m)=1$ and if $(\exp_m(a),\exp_m(b))=1$, prove that $\exp_m(ab)=\exp_m(a)\exp_m(b).$

Published on 17 Apr 2026 - 11:29

score 580 · Answer 10 · 2026-04-15 20:27:17

580

Views

Use primitive root to prove if $a^{\phi(m)/2}\equiv 1\pmod m$ then $a$ is a quadratic residue modulo $m$.

Published on 15 Apr 2026 - 20:27

score 1.4k · Answer 11 · 2026-04-16 02:55:38

1.4k

Views

Given 2 is a primitive root mod 19, find all solutions to x^12 ≡ 7 (mod 19) (a) x^12 ≡ 6 (mod 19)

Published on 16 Apr 2026 - 2:55

score 816 · Answer 12 · 2026-04-16 00:43:27

816

Views

Prove that there are infinitely many primes which are primitive roots modulo $N$

Published on 16 Apr 2026 - 0:43

score 197 · Answer 13 · 2026-04-09 11:39:23

197

Views

How does Fermat's Little Theorem help find primitive roots of unity?

Published on 09 Apr 2026 - 11:39

score 316 · Answer 14 · 2026-04-15 22:54:34

316

Views

Why are the Galois groups that correspond to extensions which adjoin primitive roots of unity given by the group of units mod n

Published on 15 Apr 2026 - 22:54

score 69 · Answer 15 · 2026-04-12 23:52:52

69

Views

What is the best upper bound for "how often" a number n is a primitive root modulo a prime p?

Published on 12 Apr 2026 - 23:52

List Question

Which primes divide $x^2-5$?

Primes $p$ in which $3$ is a primitive root modulo $p$

$(e^{2\pi i}){}^n \neq e^{2\pi i n}$ where $n\in\mathbb{N}$?

$\zeta_n^k$ is primitive if and only if $(k,n) = 1$

Prove that a primitive $q$-th root of unity is in the algebraic closure of $\Bbb F_p$

Is this a valid proof of Euler's product formula for the totient function?

Number of solutions of $x^e \equiv c \mod p$

Certain conditions for primitive roots of $n$.

If $(a,m)=(b,m)=1$ and if $(\exp_m(a),\exp_m(b))=1$, prove that $\exp_m(ab)=\exp_m(a)\exp_m(b).$

Use primitive root to prove if $a^{\phi(m)/2}\equiv 1\pmod m$ then $a$ is a quadratic residue modulo $m$.

Given 2 is a primitive root mod 19, find all solutions to x^12 ≡ 7 (mod 19) (a) x^12 ≡ 6 (mod 19)

Prove that there are infinitely many primes which are primitive roots modulo $N$

How does Fermat's Little Theorem help find primitive roots of unity?

Why are the Galois groups that correspond to extensions which adjoin primitive roots of unity given by the group of units mod n

What is the best upper bound for "how often" a number n is a primitive root modulo a prime p?

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