Question

Find (if there exist) a primitive root $\bmod 8.$

score 49 · Answer 1 · 2020-04-06 17:14:29

49

Views

Find (if there exist) a primitive root $\bmod 8.$

Published on 06 Apr 2020 - 17:14

score 301 · Answer 2 · 2020-04-07 04:15:46

301

Views

Find the sum of quadratic residues modulo $101$

Published on 07 Apr 2020 - 4:15

score 74 · Answer 3 · 2020-04-07 06:40:35

74

Views

What is the size of the set $\{ 0^{42}\pmod{101}, 1^{42}\pmod{101}, 2^{42} \pmod{101},...,100^{42}\pmod{101}\}$

Published on 07 Apr 2020 - 6:40

score 179 · Answer 4 · 2020-04-07 07:55:21

179

Views

Find the number of integer pairs 0 ≤ a, b ≤ 100 such that a^20 ≡ b^50 (mod 101). Need help with understanding solution

Published on 07 Apr 2020 - 7:55

score 56 · Answer 5 · 2020-04-07 17:38:06

56

Views

Can I find $r$, if $r^m\equiv 1 (\bmod 18)=6$

Published on 07 Apr 2020 - 17:38

score 60 · Answer 6 · 2026-03-25 16:12:39

60

Views

Testing for primitive roots using quadratic non residue and Jacobi symbol

Published on 25 Mar 2026 - 16:12

score 121 · Answer 7 · 2020-04-20 16:02:00

121

Views

Primitive roots as linear combination of a $\mathbb{Q}$-basis of $\mathbb{Q}(\epsilon)$

Published on 20 Apr 2020 - 16:02

score 35 · Answer 8 · 2020-04-21 02:19:00

35

Views

Show this congruence holds

Published on 21 Apr 2020 - 2:19

score 56 · Answer 9 · 2020-04-21 14:14:40

56

Views

Given a prime number a of the form 29 (mod 40) or 40k + 29. Show that the prime a cannot divide any integer of the form n^2 + 10.

Published on 21 Apr 2020 - 14:14

score 156 · Answer 10 · 2020-04-26 04:13:32

156

Views

what is the value of $\binom{n}{1}+\binom{n}{4}+\binom{n}{7}+\binom{n}{10}+\binom{n}{13}+\dots$

Published on 26 Apr 2020 - 4:13

score 632 · Answer 11 · 2020-04-27 01:25:49

632

Views

How do I show that $2$ is not a primitive root modulo $7$?

Published on 27 Apr 2020 - 1:25

score 52 · Answer 12 · 2020-04-29 00:20:32

52

Views

Why is $\alpha$, a primitive pth root of unity, a root of the polynomial $1+t+\ldots +t^{p-1}$?

Published on 29 Apr 2020 - 0:20

score 230 · Answer 13 · 2020-05-04 04:26:48

230

Views

Confusion about the choice of primitive root/multiplicative generator in Diffie-Hellman Key Exchange.

Published on 04 May 2020 - 4:26

score 136 · Answer 14 · 2020-05-14 17:43:29

136

Views

How to find an irreducible polynomial over a finite field with a primitive root (and low hamming weight)

Published on 14 May 2020 - 17:43

score 156 · Answer 15 · 2020-05-19 18:01:30

156

Views

Finding all no-congruent primitive roots $\pmod{29}$

Published on 19 May 2020 - 18:01

List Question

Find (if there exist) a primitive root $\bmod 8.$

Find the sum of quadratic residues modulo $101$

What is the size of the set $\{ 0^{42}\pmod{101}, 1^{42}\pmod{101}, 2^{42} \pmod{101},...,100^{42}\pmod{101}\}$

Find the number of integer pairs 0 ≤ a, b ≤ 100 such that a^20 ≡ b^50 (mod 101). Need help with understanding solution

Can I find $r$, if $r^m\equiv 1 (\bmod 18)=6$

Testing for primitive roots using quadratic non residue and Jacobi symbol

Primitive roots as linear combination of a $\mathbb{Q}$-basis of $\mathbb{Q}(\epsilon)$

Show this congruence holds

Given a prime number a of the form 29 (mod 40) or 40k + 29. Show that the prime a cannot divide any integer of the form n^2 + 10.

what is the value of $\binom{n}{1}+\binom{n}{4}+\binom{n}{7}+\binom{n}{10}+\binom{n}{13}+\dots$

How do I show that $2$ is not a primitive root modulo $7$?

Why is $\alpha$, a primitive pth root of unity, a root of the polynomial $1+t+\ldots +t^{p-1}$?

Confusion about the choice of primitive root/multiplicative generator in Diffie-Hellman Key Exchange.

How to find an irreducible polynomial over a finite field with a primitive root (and low hamming weight)

Finding all no-congruent primitive roots $\pmod{29}$

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