List questions from primitive-roots

40

Views

Show that if $m, n$ and $m',n'$ produce the same primitive Pythagorean triple then $m=m'$ and $n=n'.$

Published on 26 Mar 2026 - 17:42

42

Views

If $m,n,p$ and $m',n',p'$ produce the same Pythagorean triple, does the following have to hold? $m=m'$, $n=n'$ and $p=p'$.

Published on 26 Mar 2026 - 17:38

142

Views

How to solve $x^{17}\equiv 37$ in $\mathbb{Z}/101\mathbb{Z}$?

Published on 24 May 2020 - 15:31

767

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Prove that 2 is not a primitive root of any prime of the form $3\cdot 2^n+1$ for $p>13$

Published on 25 May 2020 - 4:40

47

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Minimal extension field of $\mathbb{F}_2$ such that

Published on 28 May 2020 - 20:43

80

Views

Smallest field and root of unity

Published on 27 Mar 2026 - 21:05

35

Views

Determine degree min. polynomial

Published on 26 Mar 2026 - 19:15

119

Views

Sum of complex roots' fractions

Published on 05 Jun 2020 - 12:08

26

Views

Square root in $\mathbb F_{2^n}$

Published on 08 Jun 2020 - 9:14

165

Views

Size constraints on reduced solutions to $x^p\equiv 1\mod q$

Published on 11 Jun 2020 - 20:48

53

Views

Determine if a $4$-th root of unity is contained in $\mathbb{F}_9$

Published on 27 Mar 2026 - 21:05

37

Views

All roots of a polynomial in ring $F_2+uF_2+u^2F_2$, where $u^3=0$

Published on 23 Feb 2026 - 6:40

469

Views

How to show that 2 is primitive root modulo $101^{101}$?

Published on 22 Jun 2020 - 13:03

616

Views

How to prove that $1^n+2^n+...+(p-1)^n \equiv 0\pmod p$?

Published on 24 Jun 2020 - 11:38

302

Views

Prove that $a$ is primitive root modulo $p^2$

Published on 27 Mar 2026 - 20:19

List Question

Show that if $m, n$ and $m',n'$ produce the same primitive Pythagorean triple then $m=m'$ and $n=n'.$

If $m,n,p$ and $m',n',p'$ produce the same Pythagorean triple, does the following have to hold? $m=m'$, $n=n'$ and $p=p'$.

How to solve $x^{17}\equiv 37$ in $\mathbb{Z}/101\mathbb{Z}$?

Prove that 2 is not a primitive root of any prime of the form $3\cdot 2^n+1$ for $p>13$

Minimal extension field of $\mathbb{F}_2$ such that

Smallest field and root of unity

Determine degree min. polynomial

Sum of complex roots' fractions

Square root in $\mathbb F_{2^n}$

Size constraints on reduced solutions to $x^p\equiv 1\mod q$

Determine if a $4$-th root of unity is contained in $\mathbb{F}_9$

All roots of a polynomial in ring $F_2+uF_2+u^2F_2$, where $u^3=0$

How to show that 2 is primitive root modulo $101^{101}$?

How to prove that $1^n+2^n+...+(p-1)^n \equiv 0\pmod p$?

Prove that $a$ is primitive root modulo $p^2$

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