List questions from multiplicative-order

Published on 23 Feb 2026 - 17:03

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Equations over finite fields to prove primality

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283

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How to solve 1990 IMO Q3

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115

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A question about multiplicative order

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203

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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 09 Apr 2026 - 16:18

138

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

Published on 23 Feb 2026 - 16:58

97

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Known table of $GF(p)$ and characteristics

Published on 23 Feb 2026 - 16:59

1.6k

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What is the order of the multiplicative group?

Published on 23 Feb 2026 - 17:00

254

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

Published on 10 Apr 2026 - 22:35

256

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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 23 Feb 2026 - 17:01

201

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

Published on 23 Feb 2026 - 17:01

63

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

Published on 23 Feb 2026 - 16:57

67

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Roots of unity over finite fields

Published on 23 Feb 2026 - 16:57

52

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

Published on 23 Feb 2026 - 16:58

512

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Multiplicative order of $2$ modulo $p$.

Published on 23 Feb 2026 - 16:56

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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