List questions from multiplicative-order

Published on 23 Feb 2026 - 13:40

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Can someone teach me Lagrange's order theorem with specific numbers and cayley tables

Published on 23 Feb 2026 - 13:44

100

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A "Multiplicative Order" Bound?

Published on 23 Feb 2026 - 13:40

350

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Odd prime power congruent to 1 modulo large powers of 2

Published on 23 Feb 2026 - 13:44

217

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Proof $\operatorname{ord}_{2^n}(3)=2^{n-2}$

Published on 23 Feb 2026 - 13:47

649

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Number of distinct remainders modulo n smaller than Euler's totient function

Published on 23 Feb 2026 - 13:42

54

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$ord_{n}(k) = \infty$?

Published on 23 Feb 2026 - 13:40

118

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multiplicative order $ord_{a }(k)$ if $gcd (a, k) > 1$

Published on 23 Feb 2026 - 13:47

16

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Computations modulus a polynomial

Published on 23 Feb 2026 - 13:39

154

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Intuitive justification of associative law

Published on 23 Feb 2026 - 13:43

2.6k

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Order of element in multiplicative group modulo n, where n is not prime

Published on 23 Feb 2026 - 13:44

113

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Who has considered the LCM of the multiplicative order of the divisors of p-1, where p is a prime, for which p-1 is square free?

Published on 23 Feb 2026 - 13:46

593

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Prove $p\mid\frac{x^{a}-1}{x-1}$ using Fermat's little theorem

Published on 23 Feb 2026 - 13:44

60

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The exponent subgroup $n\Bbb{Z}$ inducing a nontrivial $X^n - 1 = 0$ solution subgroup of $R^{\times}$ for a ring $R$ with $1$.

Published on 23 Feb 2026 - 13:46

608

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Proof for OEIS A002326 multiplicative order of 2 (mod 2n - 1)

Published on 23 Feb 2026 - 13:44

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How to interpret or calculate this sum?

Can someone teach me Lagrange's order theorem with specific numbers and cayley tables

A "Multiplicative Order" Bound?

Odd prime power congruent to 1 modulo large powers of 2

Proof $\operatorname{ord}_{2^n}(3)=2^{n-2}$

Number of distinct remainders modulo n smaller than Euler's totient function

$ord_{n}(k) = \infty$?

multiplicative order $ord_{a }(k)$ if $gcd (a, k) > 1$

Computations modulus a polynomial

Intuitive justification of associative law

Order of element in multiplicative group modulo n, where n is not prime

Who has considered the LCM of the multiplicative order of the divisors of p-1, where p is a prime, for which p-1 is square free?

Prove $p\mid\frac{x^{a}-1}{x-1}$ using Fermat's little theorem

The exponent subgroup $n\Bbb{Z}$ inducing a nontrivial $X^n - 1 = 0$ solution subgroup of $R^{\times}$ for a ring $R$ with $1$.

Proof for OEIS A002326 multiplicative order of 2 (mod 2n - 1)

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