Question

Which primes divide $x^2-5$?

score 78 · Answer 1 · 2019-01-23 17:32:39

78

Views

Which primes divide $x^2-5$?

Published on 23 Jan 2019 - 17:32

score 63 · Answer 2 · 2019-01-26 22:19:16

63

Views

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

Published on 26 Jan 2019 - 22:19

score 168 · Answer 3 · 2019-01-27 10:38:45

168

Views

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

Published on 27 Jan 2019 - 10:38

score 193 · Answer 4 · 2019-01-30 10:52:51

193

Views

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

Published on 30 Jan 2019 - 10:52

score 248 · Answer 5 · 2019-02-08 16:06:34

248

Views

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

Published on 08 Feb 2019 - 16:06

score 98 · Answer 6 · 2019-02-20 11:10:26

98

Views

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

Published on 20 Feb 2019 - 11:10

score 1k · Answer 7 · 2019-02-26 07:34:37

1k

Views

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

Published on 26 Feb 2019 - 7:34

score 47 · Answer 8 · 2019-03-08 03:02:14

47

Views

Certain conditions for primitive roots of $n$.

Published on 08 Mar 2019 - 3:02

score 33 · Answer 9 · 2019-03-13 03:16:46

33

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 13 Mar 2019 - 3:16

score 577 · Answer 10 · 2019-03-14 02:12:20

577

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 14 Mar 2019 - 2:12

score 1.4k · Answer 11 · 2019-03-23 19:07:53

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 23 Mar 2019 - 19:07

score 813 · Answer 12 · 2019-04-04 16:41:41

813

Views

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

Published on 04 Apr 2019 - 16:41

score 194 · Answer 13 · 2019-04-15 11:25:10

194

Views

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

Published on 15 Apr 2019 - 11:25

score 313 · Answer 14 · 2019-04-19 20:50:45

313

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 19 Apr 2019 - 20:50

score 66 · Answer 15 · 2019-04-27 01:48:38

66

Views

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

Published on 27 Apr 2019 - 1:48

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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