New posts in primitive-roots

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

abstract-algebra commutative-algebra algebraic-number-theory primitive-roots

Maximal order with primitive determinant in $\operatorname{GL}_n(\mathbb{F}_q)$

determinant finite-fields primitive-roots general-linear-group

Conjecture about the product of the primitive roots modulo a prime number ($\prod Pr_p$)

elementary-number-theory prime-numbers conjectures primitive-roots

Let $p$ be a prime number. Show that the number of solutions to $x^k \equiv 1 \pmod p$ is $gcd(k, p-1)$

proof-verification primitive-roots

Primitive elements of GF(8)

linear-algebra polynomials coding-theory primitive-roots

2 is a primitive root mod $3^h$ for any positive integer $h$

group-theory number-theory elementary-number-theory contest-math primitive-roots

Question about primitive roots of p and $p^2$

primitive-roots

Prove that 3 is a primitive root of $7^k$ for all $k \ge 1$

elementary-number-theory primitive-roots

Primitive Root Theorem Proof

group-theory number-theory elementary-number-theory primitive-roots

What are primitive roots modulo n?

number-theory modular-arithmetic primitive-roots

Are there infinitely many primes $n$ such that $\mathbb{Z}_n^*$ is generated by $\{ -1,2 \}$?

number-theory modular-arithmetic primitive-roots

If $p$ is an odd prime and $k$ an integer with $0<k<p-1$ then $1^k + 2^k + \ldots + (p-1)^k$ is divisible by $p$

number-theory primitive-roots

Prove sum of primitive roots congruent to $\mu(p-1) \pmod{p}$

number-theory primitive-roots mobius-function

How to solve the congruence $x^{30} ≡ 81x^6 \pmod{269}$ using primitive roots(without indices)?

number-theory modular-arithmetic primitive-roots

Is every non-square integer a primitive root modulo some odd prime?

elementary-number-theory prime-numbers quadratic-residues primitive-roots

Proof of existence of primitive roots

group-theory elementary-number-theory primitive-roots

Prove if $n$ has a primitive root, then it has exactly $\phi(\phi(n))$ of them

elementary-number-theory totient-function primitive-roots