List questions from modular-arithmetic

Published on 11 Apr 2026 - 20:34

180

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Is $11\mid21^{100} - 12^{100}$ true?

Published on 13 Apr 2026 - 6:27

283

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If $a$ is not a multiple of a prime $p$,then prove that there is an integer $b$ such that $p^b-1$ is a multiple of $a$

Published on 12 Apr 2026 - 16:41

106

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> Solve in integers $1)\ x^2=y^6+24y^3+192\quad 2)x^3=y^6+24y^3+192$.

Published on 01 Apr 2026 - 2:49

31

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Mod Arithmetic, involving multiplication.

Published on 01 Dec 2019 - 14:21

58

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Modular Arithmetic: Multiplicative inverse

Published on 12 Apr 2026 - 16:24

55

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Finding a number knowing the modular multiplicative inverse

Published on 11 Apr 2026 - 23:18

176

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How do you find all the generators of $(\Bbb Z_{n})^\times$?

Published on 11 Apr 2026 - 16:01

45

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Prove multiplicative inverses in reduced residue system

Published on 27 Mar 2026 - 23:31

352

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Proof of Wilson's theorem using Fermat's little theorem and Vieta's formulas

Published on 13 Apr 2026 - 2:17

862

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$SL(2,\mathbb{Z})$ is a lattice in $SL(2,\mathbb{R})$

Published on 25 Mar 2026 - 12:53

786

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$4x≡2\mod5$ can you divide both sides by $2$ to get $2x≡1\mod5\,?$

Published on 03 Dec 2019 - 10:20

76

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What would a covering system for $x^2+1$ primes look like?

Published on 03 Dec 2019 - 12:19

202

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Why are there no impossible modular residues of cubes for some moduli?

Published on 13 Apr 2026 - 4:33

345

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Finding the last digit of $103^{103^{103^{103^{103}}}}$

Published on 03 Dec 2019 - 20:09

List Question

Bezout lemma unique solution

Is $11\mid21^{100} - 12^{100}$ true?

If $a$ is not a multiple of a prime $p$,then prove that there is an integer $b$ such that $p^b-1$ is a multiple of $a$

> Solve in integers $1)\ x^2=y^6+24y^3+192\quad 2)x^3=y^6+24y^3+192$.

Mod Arithmetic, involving multiplication.

Modular Arithmetic: Multiplicative inverse

Finding a number knowing the modular multiplicative inverse

How do you find all the generators of $(\Bbb Z_{n})^\times$?

Prove multiplicative inverses in reduced residue system

Proof of Wilson's theorem using Fermat's little theorem and Vieta's formulas

$SL(2,\mathbb{Z})$ is a lattice in $SL(2,\mathbb{R})$

$4x≡2\mod5$ can you divide both sides by $2$ to get $2x≡1\mod5\,?$

What would a covering system for $x^2+1$ primes look like?

Why are there no impossible modular residues of cubes for some moduli?

Finding the last digit of $103^{103^{103^{103^{103}}}}$

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