List questions from modular-arithmetic

Published on 28 Mar 2026 - 20:58

163

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Find irreducible binary polynomial of degree 5

Published on 27 Mar 2026 - 18:00

682

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$x^2 \equiv -2,2 \pmod {122}$

Published on 25 Mar 2026 - 9:34

203

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if $19a^2 \equiv b^2 \pmod 7$ then $19a^2 \equiv b^2 \pmod {7^2}$

Published on 30 Mar 2026 - 20:12

109

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What will be the remainder if $7^{101}$ mod $5$?

Published on 14 Dec 2018 - 16:16

102

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Why does this property hold for odd integers except for 5?

Published on 14 Dec 2018 - 20:21

2.8k

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Solving for a variable in a modular arithmetic equation

Published on 15 Dec 2018 - 9:09

121

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Find $7^{2018}-1 \bmod 5$ using Fermat's Little Theorem

Published on 15 Dec 2018 - 13:36

121

Views

solve modular arithmetic equation

Published on 15 Dec 2018 - 18:41

79

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Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$

Published on 26 Mar 2026 - 6:31

76

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Every odd divisor is $\equiv 1\bmod 3$

Published on 15 Dec 2018 - 20:56

725

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Solve linear congruences

Published on 24 Mar 2026 - 23:40

251

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There exist infinitely many pairs of consecutive squares s.t. their sum is also a square

Published on 26 Mar 2026 - 11:18

23

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How can I check if "value is fractional multiple of another" in "modulo sense"?

Published on 16 Dec 2018 - 15:14

143

Views

How can I calculate ${2133}^{5525}$ mod ${7387}$?

Published on 25 Mar 2026 - 22:25

List Question

What is an irreducible element in $\Bbb{Z}_6[x]$?

Find irreducible binary polynomial of degree 5

$x^2 \equiv -2,2 \pmod {122}$

if $19a^2 \equiv b^2 \pmod 7$ then $19a^2 \equiv b^2 \pmod {7^2}$

What will be the remainder if $7^{101}$ mod $5$?

Why does this property hold for odd integers except for 5?

Solving for a variable in a modular arithmetic equation

Find $7^{2018}-1 \bmod 5$ using Fermat's Little Theorem

solve modular arithmetic equation

Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$

Every odd divisor is $\equiv 1\bmod 3$

Solve linear congruences

There exist infinitely many pairs of consecutive squares s.t. their sum is also a square

How can I check if "value is fractional multiple of another" in "modulo sense"?

How can I calculate ${2133}^{5525}$ mod ${7387}$?

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