List questions from modular-arithmetic

Published on 14 Apr 2026 - 19:28

96

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Integral matrices commute modulo $p^k$

Published on 16 Apr 2026 - 1:22

47

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$\Bbb Z / 3 \Bbb Z[x]/I$ and $(\Bbb Z / 3 \Bbb Z[x]/I)/J$ quotients rings. Prime elements.

Published on 21 Mar 2026 - 17:06

109

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How to solve a system of linear congruences?

Published on 10 Apr 2026 - 10:18

68

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Number of solutions to $x^2 = y^2$ in $\mathbb{Z}/n\mathbb{Z}$

Published on 14 Apr 2026 - 11:37

79

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Order of cyclic subgroups in $\mathbb{Z}/n\mathbb{Z}$

Published on 11 Apr 2026 - 11:31

45

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Showing $a^{19} \bmod 7 = a$.

Published on 14 Apr 2026 - 6:06

45

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Congruence Equation Problem Question Solve for x

Published on 11 Apr 2026 - 14:12

111

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How to find the remainder of big number divisions using congruences?

Published on 13 Apr 2026 - 17:58

44

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What does it mean "Lifting" from $Z_3[x]/\langle x^3-x-1\rangle$ to $Z[x]/\langle x^3-x-1\rangle$ exactly?

Published on 21 Mar 2026 - 17:06

77

Views

How to prove that $a + b \neq 2^{n+1} (2c+1) $ with $ab = 4^n - 1$ and $a,b, c, n \in \mathbb{N}$?

Published on 16 Apr 2026 - 11:38

131

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Showing there isn't such an integer $a \not\equiv 1$ that $a^7 \equiv 1 \pmod{21}$

Published on 14 Apr 2026 - 8:33

102

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Solving $x^2= x\ \pmod{ 111 5111}$

Published on 17 Apr 2026 - 8:22

111

Views

For which $x,y, z$ we have $390=x^3+y^3+z^3$ with $ x, y, z$ integers?

Published on 17 Apr 2026 - 10:03

165

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Determine the number of solutions of $x^{100} \equiv a\pmod{77}$

Published on 15 Apr 2026 - 18:23

List Question

Integer solutions to $b^3=(a \bmod b)\cdot(a-a\bmod b)$

Integral matrices commute modulo $p^k$

$\Bbb Z / 3 \Bbb Z[x]/I$ and $(\Bbb Z / 3 \Bbb Z[x]/I)/J$ quotients rings. Prime elements.

How to solve a system of linear congruences?

Number of solutions to $x^2 = y^2$ in $\mathbb{Z}/n\mathbb{Z}$

Order of cyclic subgroups in $\mathbb{Z}/n\mathbb{Z}$

Showing $a^{19} \bmod 7 = a$.

Congruence Equation Problem Question Solve for x

How to find the remainder of big number divisions using congruences?

What does it mean "Lifting" from $Z_3[x]/\langle x^3-x-1\rangle$ to $Z[x]/\langle x^3-x-1\rangle$ exactly?

How to prove that $a + b \neq 2^{n+1} (2c+1) $ with $ab = 4^n - 1$ and $a,b, c, n \in \mathbb{N}$?

Showing there isn't such an integer $a \not\equiv 1$ that $a^7 \equiv 1 \pmod{21}$

Solving $x^2= x\ \pmod{ 111 5111}$

For which $x,y, z$ we have $390=x^3+y^3+z^3$ with $ x, y, z$ integers?

Determine the number of solutions of $x^{100} \equiv a\pmod{77}$

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