List questions from primitive-roots

Published on 02 Nov 2017 - 0:49

137

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Theorems on Primitive Roots

Published on 02 Nov 2017 - 3:23

560

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Product of quadratic residues in terms of primitive root

Published on 29 Mar 2026 - 15:54

98

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Finding the splitting field of $\Phi_{21}(x)$ over $\mathbb Q$

Published on 27 Mar 2026 - 15:17

134

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Modulo arithmetic and sum of arbitrary powers of a primitive root of unity.

Published on 09 Nov 2017 - 21:59

131

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Need some help with a proof about primitive roots.

Published on 10 Nov 2017 - 19:18

397

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Probability of Primitive Root (Mod 43)

Published on 10 Nov 2017 - 22:46

814

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Find all primitive elements $e = aw+b$ in the field GF$(25)$ where $w^2 = 2$.

Published on 15 Nov 2017 - 3:09

1.4k

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Product of coprimes less than n

Published on 23 Feb 2026 - 19:19

104

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Eigenvalues are roots of cyclotomic polynomial

Published on 27 Mar 2026 - 15:18

500

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Determine all solutions of the congruence $y^2≡5x^3\pmod7$ in integers $x$, $y$.

Published on 22 Nov 2017 - 3:30

1.3k

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Find a primitive root of $71$.

Published on 27 Nov 2017 - 21:31

132

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What will be the behavior of the roots?

Published on 29 Nov 2017 - 7:10

183

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Showing that $f(x)=x^2+2x+3$ is irreducible and primitive.

Published on 10 Dec 2017 - 12:55

54

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Why is it the case that if $a$ is a primitive root of $x^p=1$, then $\frac{x^p-1}{x-1}=(x-a^2)(x-a^4)...(x-a^{2(p-1)})=1+x+x^2+...+x^{p-1}$?

Published on 26 Mar 2026 - 6:32

List Question

primitive roots of primes

Theorems on Primitive Roots

Product of quadratic residues in terms of primitive root

Finding the splitting field of $\Phi_{21}(x)$ over $\mathbb Q$

Modulo arithmetic and sum of arbitrary powers of a primitive root of unity.

Need some help with a proof about primitive roots.

Probability of Primitive Root (Mod 43)

Find all primitive elements $e = aw+b$ in the field GF$(25)$ where $w^2 = 2$.

Product of coprimes less than n

Eigenvalues are roots of cyclotomic polynomial

Determine all solutions of the congruence $y^2≡5x^3\pmod7$ in integers $x$, $y$.

Find a primitive root of $71$.

What will be the behavior of the roots?

Showing that $f(x)=x^2+2x+3$ is irreducible and primitive.

Why is it the case that if $a$ is a primitive root of $x^p=1$, then $\frac{x^p-1}{x-1}=(x-a^2)(x-a^4)...(x-a^{2(p-1)})=1+x+x^2+...+x^{p-1}$?

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