List questions from chinese-remainder-theorem

Published on 29 Mar 2026 - 9:54

88

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If $(\frac {-1}{d}) = 1$, does it mean that $-1$ is a square in $\mathbb {Z}/d\mathbb{Z}$?

Published on 26 Mar 2026 - 14:24

518

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Does this algorithm work as an alternative to the Chinese Remainder Theorem

Published on 27 Oct 2015 - 20:53

186

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Prove that there are no solutions to $x^2 + x + 1 \equiv 0$ (mod $n$) in $\mathbb{Z}/_{n}\mathbb{Z}$

Published on 09 Mar 2026 - 15:02

966

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Jacobi's Symbol

Published on 30 Mar 2026 - 0:18

312

Views

Splitting $\mathbb Z_{pq}$ into direct sum with $\mathbb Z_p$

Published on 21 Mar 2026 - 15:22

130

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how to solve $rem(8^{5}+9^{5},17)$ & $rem(3^{8}-4^{8},10)$

Published on 03 Nov 2015 - 1:42

154

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Solve the system of conguruences: $x = 2 \bmod7, x = 5 \bmod12, x = 8 \bmod 25$

Published on 04 Nov 2015 - 2:29

151

Views

Isomorphisms between groups, and order

Published on 04 Nov 2015 - 3:37

1k

Views

How to find solutions to $x^2 \equiv 4 \pmod{91}$?

Published on 04 Nov 2015 - 8:24

38

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A simple modular reconstruction conundrum on CRT

Published on 08 Nov 2015 - 20:47

86

Views

Linear equations modulo different prime through CRT

Published on 09 Nov 2015 - 7:21

121

Views

Find a polynomial $q(x)$ of minimal degree in $F_3[x]$ so that the following condition is true:

Published on 11 Nov 2015 - 1:56

135

Views

What's the inverse of 1 in (mod x)? (Working in F3)

Published on 28 Mar 2026 - 2:44

332

Views

Chinese Remainder Theorem Modular

Published on 12 Nov 2015 - 5:37

List Question

Is my reasoning with regard to the Chinese Remainder Theorem correct?

If $(\frac {-1}{d}) = 1$, does it mean that $-1$ is a square in $\mathbb {Z}/d\mathbb{Z}$?

Does this algorithm work as an alternative to the Chinese Remainder Theorem

Prove that there are no solutions to $x^2 + x + 1 \equiv 0$ (mod $n$) in $\mathbb{Z}/_{n}\mathbb{Z}$

Jacobi's Symbol

Splitting $\mathbb Z_{pq}$ into direct sum with $\mathbb Z_p$

how to solve $rem(8^{5}+9^{5},17)$ & $rem(3^{8}-4^{8},10)$

Solve the system of conguruences: $x = 2 \bmod7, x = 5 \bmod12, x = 8 \bmod 25$

Isomorphisms between groups, and order

How to find solutions to $x^2 \equiv 4 \pmod{91}$?

A simple modular reconstruction conundrum on CRT

Linear equations modulo different prime through CRT

Find a polynomial $q(x)$ of minimal degree in $F_3[x]$ so that the following condition is true:

What's the inverse of 1 in (mod x)? (Working in F3)

Chinese Remainder Theorem Modular

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