Question

About Primitive roots

score 639 · Answer 1 · 2016-09-06 14:22:36

639

Views

About Primitive roots

Published on 06 Sep 2016 - 14:22

score 71 · Answer 2 · 2016-09-15 23:57:33

71

Views

evaluate the integrals using Primitives

Published on 15 Sep 2016 - 23:57

score 63 · Answer 3 · 2016-09-23 19:20:46

63

Views

Show that a certain set of elements is a basis of the free module $\mathbf{Z}[\xi]$

Published on 23 Sep 2016 - 19:20

score 336 · Answer 4 · 2016-09-23 20:50:39

336

Views

Any element of $\mathbf{Z}[\xi]$ is congruent to an integer modulo $(1-\xi)^2$ if multiplied by a suitable power of $\xi$

Published on 23 Sep 2016 - 20:50

score 154 · Answer 5 · 2016-09-28 09:48:14

154

Views

Is 2 always a primitive root of 3ˣ?

Published on 28 Sep 2016 - 9:48

score 543 · Answer 6 · 2026-03-25 13:04:57

543

Views

Primitive element for each subfield of a cyclotomic extension

Published on 25 Mar 2026 - 13:04

score 192 · Answer 7 · 2026-03-27 07:25:55

192

Views

Holomorphic function and primitives

Published on 27 Mar 2026 - 7:25

score 3.3k · Answer 8 · 2016-10-04 03:40:21

3.3k

Views

Primitive Root Theorem Proof

Published on 04 Oct 2016 - 3:40

score 563 · Answer 9 · 2016-10-09 20:54:43

563

Views

Proving if $g$ is a primitive root $\pmod n$ and $n$ is prime, then $g^k$ $\pmod n$ is also a primitive root if and only if $\gcd(k, n-1) = 1$

Published on 09 Oct 2016 - 20:54

score 165 · Answer 10 · 2016-10-10 17:49:48

165

Views

$h^{\frac{p-1}{2}} \equiv 1 \bmod p$ and $g^x \equiv h \bmod p$ for a primitive root $g$ $\iff$ $x$ is even

Published on 10 Oct 2016 - 17:49

score 1.7k · Answer 11 · 2026-03-27 08:46:41

1.7k

Views

Assuming that $r$ is a primitive root of the odd prime $p$ prove that $ r^{(p-1)/2}\equiv -1 \pmod p $ holds

Published on 27 Mar 2026 - 8:46

score 835 · Answer 12 · 2016-10-24 02:09:54

835

Views

$a$ is a primitive root modulo a prime $p$; $ab\equiv1\bmod p$; prove $b$ is a primitive root modulo $p$

Published on 24 Oct 2016 - 2:09

score 5.8k · Answer 13 · 2026-03-27 10:15:49

5.8k

Views

Every primitive root modulo an odd prime is a quadratic nonresidue

Published on 27 Mar 2026 - 10:15

score 125 · Answer 14 · 2016-10-29 10:31:51

125

Views

Finding primitive root mod n?

Published on 29 Oct 2016 - 10:31

score 176 · Answer 15 · 2016-10-31 13:45:55

176

Views

Is primitive root or order in number theory relate with order of element in cyclic group?

Published on 31 Oct 2016 - 13:45

List Question

About Primitive roots

evaluate the integrals using Primitives

Show that a certain set of elements is a basis of the free module $\mathbf{Z}[\xi]$

Any element of $\mathbf{Z}[\xi]$ is congruent to an integer modulo $(1-\xi)^2$ if multiplied by a suitable power of $\xi$

Is 2 always a primitive root of 3ˣ?

Primitive element for each subfield of a cyclotomic extension

Holomorphic function and primitives

Primitive Root Theorem Proof

Proving if $g$ is a primitive root $\pmod n$ and $n$ is prime, then $g^k$ $\pmod n$ is also a primitive root if and only if $\gcd(k, n-1) = 1$

$h^{\frac{p-1}{2}} \equiv 1 \bmod p$ and $g^x \equiv h \bmod p$ for a primitive root $g$ $\iff$ $x$ is even

Assuming that $r$ is a primitive root of the odd prime $p$ prove that $ r^{(p-1)/2}\equiv -1 \pmod p $ holds

$a$ is a primitive root modulo a prime $p$; $ab\equiv1\bmod p$; prove $b$ is a primitive root modulo $p$

Every primitive root modulo an odd prime is a quadratic nonresidue

Finding primitive root mod n?

Is primitive root or order in number theory relate with order of element in cyclic group?

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