List questions from multiplicative-order

Published on 14 Oct 2012 - 1:21

38

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Equations over finite fields to prove primality

Published on 12 Aug 2020 - 0:09

282

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How to solve 1990 IMO Q3

Published on 16 Aug 2020 - 4:22

114

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A question about multiplicative order

Published on 21 Aug 2020 - 3:03

202

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If p is a prime divisor of the n-th Fermat number, and k is the multiplicative order of 2 mod p then $k|p-1$

Published on 23 Feb 2026 - 10:22

137

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Let $p=40k+9$ be prime. Does $10$ always have even order mod $p$?

Published on 15 Sep 2020 - 20:48

96

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Known table of $GF(p)$ and characteristics

Published on 26 Sep 2020 - 16:18

1.6k

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What is the order of the multiplicative group?

Published on 26 Oct 2020 - 16:17

251

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What is the order of $\bar{2}$ in the multiplicative group $\mathbb{Z}_{221}^\times$?

Published on 25 Nov 2020 - 16:27

255

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For which $n$ does $p_n(x)=\sum\limits_{{k=1,(k,n)=1}}^n o(k) x^k $ have exactly two real roots?

Published on 25 Nov 2020 - 17:09

200

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What is the order of $\bar{2}$ in the multiplicative group $\mathbb Z_{289}^×$?

Published on 26 Nov 2020 - 3:21

62

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Multiplicative Order when for integers $m > 2, n > 0$, when $2^m | (3^n - 1)$

Published on 27 May 2021 - 7:00

66

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Roots of unity over finite fields

Published on 10 Dec 2021 - 9:13

51

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When $\text{ord}_n(p)/m = \text{ord}_{n/m}(p)=1$

Published on 16 May 2022 - 13:10

511

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Multiplicative order of $2$ modulo $p$.

Published on 26 May 2022 - 3:11

List Question

Showing $\operatorname{ord}_ma^s=k$ if $\gcd(s,k) = 1$ and $\operatorname{ord}_ma=k$

Equations over finite fields to prove primality

How to solve 1990 IMO Q3

A question about multiplicative order

If p is a prime divisor of the n-th Fermat number, and k is the multiplicative order of 2 mod p then $k|p-1$

Let $p=40k+9$ be prime. Does $10$ always have even order mod $p$?

Known table of $GF(p)$ and characteristics

What is the order of the multiplicative group?

What is the order of $\bar{2}$ in the multiplicative group $\mathbb{Z}_{221}^\times$?

For which $n$ does $p_n(x)=\sum\limits_{{k=1,(k,n)=1}}^n o(k) x^k $ have exactly two real roots?

What is the order of $\bar{2}$ in the multiplicative group $\mathbb Z_{289}^×$?

Multiplicative Order when for integers $m > 2, n > 0$, when $2^m | (3^n - 1)$

Roots of unity over finite fields

When $\text{ord}_n(p)/m = \text{ord}_{n/m}(p)=1$

Multiplicative order of $2$ modulo $p$.

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