List questions from congruences

Published on 27 Mar 2026 - 16:46

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Which subrings $S$ of $\mathbb Z_n$contains a multiplicative identity , that is $\exists e\in S$ such that for every $x \in S , x.e=e.x=x$ ?

Published on 05 Feb 2015 - 16:06

643

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Solving Linear Equations in Congruence Classes

Published on 05 Feb 2015 - 19:05

52

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Finding a Linear Equation With n solutions.

Published on 05 Feb 2015 - 22:37

119

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Find $a \in \mathbb Z$, which solves $11 \cdot a \equiv 1 \pmod {1247}$

Published on 06 Feb 2015 - 17:24

102

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Solving congruence system by deducting equations with one another

Published on 06 Feb 2015 - 17:40

222

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How to solve $x \equiv 2^{2999999} \pmod {17}$?

Published on 06 Feb 2015 - 18:02

83

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Algebra - congruence relations

Published on 06 Feb 2015 - 22:01

404

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To prove ${2p - 1 \choose p } \equiv 1 \pmod{p^2}$ without using Wolstenholme's theorem

Published on 08 Feb 2015 - 8:49

94

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How many values of $a$ have $1000 | (a^{100} - 1)$?

Published on 09 Feb 2015 - 1:57

97

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How to prove that a tetration holds the same last digit after a certain rank?

Published on 26 Mar 2026 - 6:29

72

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If $p \equiv 1 \pmod{N!}$ prove there are no primitive roots $\pmod p$, $g$, that are less than $N$

Published on 28 Mar 2026 - 0:49

440

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Can someone clarify the notation of x $\equiv$ -8 $\equiv$ 6 ($\bmod$ 7)

Published on 12 Feb 2015 - 3:56

202

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Linear congruence fill in the missing step?

Published on 13 Feb 2015 - 18:27

1.9k

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What mistake am I making when trying to apply Fermat's little theorem?

Published on 14 Feb 2015 - 19:34

List Question

Modulo Congruence Prime Proofs

Which subrings $S$ of $\mathbb Z_n$contains a multiplicative identity , that is $\exists e\in S$ such that for every $x \in S , x.e=e.x=x$ ?

Solving Linear Equations in Congruence Classes

Finding a Linear Equation With n solutions.

Find $a \in \mathbb Z$, which solves $11 \cdot a \equiv 1 \pmod {1247}$

Solving congruence system by deducting equations with one another

How to solve $x \equiv 2^{2999999} \pmod {17}$?

Algebra - congruence relations

To prove ${2p - 1 \choose p } \equiv 1 \pmod{p^2}$ without using Wolstenholme's theorem

How many values of $a$ have $1000 | (a^{100} - 1)$?

How to prove that a tetration holds the same last digit after a certain rank?

If $p \equiv 1 \pmod{N!}$ prove there are no primitive roots $\pmod p$, $g$, that are less than $N$

Can someone clarify the notation of x $\equiv$ -8 $\equiv$ 6 ($\bmod$ 7)

Linear congruence fill in the missing step?

What mistake am I making when trying to apply Fermat's little theorem?

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