List questions from congruence-relations

Published on 03 Nov 2017 - 0:32

39

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Problem with proving that relation is congruent.

Published on 04 Nov 2017 - 11:51

32

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$\equiv$ is congruence relation in the structure. Prove that $\mathcal{F}=[X]_\equiv$ if $|\mathcal{A}/\equiv|>1$

Published on 05 Nov 2017 - 10:17

7.9k

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Show that $n(n^2-1)$ is divisible by 24, if $n$ is an odd integer greater than $2$.

Published on 07 Nov 2017 - 11:14

66

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For what positive integer values $n$, is $2^n+1$ divisible by 3

Published on 08 Nov 2017 - 2:06

166

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Smallest natural number $n$ that fulfills given conditions

Published on 08 Nov 2017 - 14:30

250

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Solve $[2^{(2^{403})}] = [a]$ in $\mathbb Z_{23}$ where $0 \le a < 23$.

Published on 12 Nov 2017 - 0:40

217

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Inverse of the function $f(x) = 3x+2 \pmod 5$

Published on 14 Nov 2017 - 4:43

58

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Show that for every $n \in \mathbb{N}$ $120 \mid n^7 - n^3$

Published on 14 Nov 2017 - 23:29

76

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Determine whether each of the following functions is one-to-one and whether it is onto

Published on 16 Nov 2017 - 13:33

39

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Modulus in Congruence

Published on 17 Nov 2017 - 2:28

34

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modular arithmetic questions concerning the sum of reciprocals

Published on 26 Nov 2017 - 10:40

34

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Issue with the linear congruence of 56x \equiv 70 modulo 455

Published on 06 Dec 2017 - 16:46

1.2k

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System of congruent equations

Published on 19 Dec 2017 - 21:18

3.2k

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Prove that the square of any odd number is equal to a multiple of $8$ plus $1$

Published on 06 Jan 2018 - 20:37

List Question

Prove that $x^2 \not \equiv 3$ (mod 9)

Problem with proving that relation is congruent.

$\equiv$ is congruence relation in the structure. Prove that $\mathcal{F}=[X]_\equiv$ if $|\mathcal{A}/\equiv|>1$

Show that $n(n^2-1)$ is divisible by 24, if $n$ is an odd integer greater than $2$.

For what positive integer values $n$, is $2^n+1$ divisible by 3

Smallest natural number $n$ that fulfills given conditions

Solve $[2^{(2^{403})}] = [a]$ in $\mathbb Z_{23}$ where $0 \le a < 23$.

Inverse of the function $f(x) = 3x+2 \pmod 5$

Show that for every $n \in \mathbb{N}$ $120 \mid n^7 - n^3$

Determine whether each of the following functions is one-to-one and whether it is onto

Modulus in Congruence

modular arithmetic questions concerning the sum of reciprocals

Issue with the linear congruence of 56x \equiv 70 modulo 455

System of congruent equations

Prove that the square of any odd number is equal to a multiple of $8$ plus $1$

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