List questions from modular-arithmetic

Published on 26 Mar 2026 - 4:51

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Cryptology Proof

Published on 26 Mar 2026 - 8:04

75

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Proof that this map is well-defined $ \phi(a \bmod{mn})= (a \bmod m, a \bmod n) $

Published on 26 Mar 2026 - 17:53

141

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Do there exist integers $m,x,$ and $y$ such that in $\mathbb Z_m$ we have $[x]\neq [0]$ and $[y]\neq [0],$ but $[x][y] = [0]$

Published on 23 Feb 2019 - 23:36

252

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Conjecture about the system of powerful equations

Published on 25 Feb 2019 - 11:07

47

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Constraints on equations $(a^n-1)\equiv 0 \mod (b^n-1)$

Published on 25 Feb 2019 - 16:00

83

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$x^{1682}+22x≡1652 (\bmod3599)$.

Published on 25 Mar 2026 - 15:39

123

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$n\geq 2 $ such that the equation $x^2-x+\hat2=\hat0$ has an unique solution in $\mathbb Z_n$

Published on 25 Feb 2019 - 21:10

157

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Solve for $x, \;23+35 x ≡ 4$ (mod $ 13)$

Published on 26 Mar 2026 - 4:50

1k

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Number of solutions of $x^e \equiv c \mod p$

Published on 25 Mar 2026 - 13:34

76

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Modular arithmetic proposition

Published on 26 Feb 2019 - 8:16

38

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What is $\sigma(q^k)$ in terms of $k$ if $q \equiv 5 \pmod 8$?

Published on 25 Mar 2026 - 12:21

118

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Showing that there exists a positive integer $t$ such that $5^t\equiv -3\pmod {2^{n+4}}$

Published on 27 Feb 2019 - 12:31

171

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Method to find solution for $a^x \equiv \mod n$

Published on 27 Feb 2019 - 15:13

132

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The different elements of $\mathbb{Z}/157\mathbb{Z}$

Published on 27 Feb 2019 - 15:33

List Question

Are there solutions to $x^2 = 171\pmod{203}$?

Cryptology Proof

Proof that this map is well-defined $ \phi(a \bmod{mn})= (a \bmod m, a \bmod n) $

Do there exist integers $m,x,$ and $y$ such that in $\mathbb Z_m$ we have $[x]\neq [0]$ and $[y]\neq [0],$ but $[x][y] = [0]$

Conjecture about the system of powerful equations

Constraints on equations $(a^n-1)\equiv 0 \mod (b^n-1)$

$x^{1682}+22x≡1652 (\bmod3599)$.

$n\geq 2 $ such that the equation $x^2-x+\hat2=\hat0$ has an unique solution in $\mathbb Z_n$

Solve for $x, \;23+35 x ≡ 4$ (mod $ 13)$

Number of solutions of $x^e \equiv c \mod p$

Modular arithmetic proposition

What is $\sigma(q^k)$ in terms of $k$ if $q \equiv 5 \pmod 8$?

Showing that there exists a positive integer $t$ such that $5^t\equiv -3\pmod {2^{n+4}}$

Method to find solution for $a^x \equiv \mod n$

The different elements of $\mathbb{Z}/157\mathbb{Z}$

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