List questions from congruences

Published on 25 Jan 2016 - 4:20

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Mensuration and similarity

Published on 25 Jan 2016 - 9:28

4.2k

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Finding the solution of the congruence $4x\equiv16\pmod{26}$

Published on 25 Jan 2016 - 18:14

1k

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Path needed for solving these linear equations in Zn (my example Z105)

Published on 26 Jan 2016 - 17:50

77

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Quadratic residues and euler equation

Published on 26 Mar 2026 - 6:33

46

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If $p\equiv3 \pmod4 $, then there does not exist any integer $x$ with $x^2 ≡ −1 \pmod p$.

Published on 31 Jan 2016 - 8:04

1.5k

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Find the remainder when ${{5^5}^5}^5$ is divided by $24$

Published on 01 Feb 2016 - 4:24

50

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Modulus Notation Division

Published on 02 Feb 2016 - 2:56

8.4k

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Find all incongruent solutions to $21x \equiv 14 \pmod{91}$

Published on 03 Feb 2016 - 1:49

1.8k

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Prove that the Gaussian integer $a$ is a prime element if $N(a)=p$ or $p^2$ where $p$ is congruent t0 3 mod 4

Published on 04 Feb 2016 - 2:21

65

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Why is $x^2 \equiv 1 \pmod{x+1}$ for $x > 0$?

Published on 05 Feb 2016 - 2:41

314

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$17x+11y \equiv 7 \pmod {29}$ and $13x+10y \equiv 8 \pmod {29}$. What are x and y?

Published on 05 Feb 2016 - 16:32

95

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Solving $x^2 \equiv -x\pmod{2015}$

Published on 06 Feb 2016 - 14:51

139

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Solve the following congruence: $x(x+1)(x+2) \equiv 0 \pmod{221}$

Published on 06 Feb 2016 - 18:39

744

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Remainder when ${45^{17}}^{17}$ is divided by 204

Published on 07 Feb 2016 - 11:04

List Question

Show that if [b] and [c] are both multiplicative inverses of [a] in Z_n then b = c(mod n).

Mensuration and similarity

Finding the solution of the congruence $4x\equiv16\pmod{26}$

Path needed for solving these linear equations in Zn (my example Z105)

Quadratic residues and euler equation

If $p\equiv3 \pmod4 $, then there does not exist any integer $x$ with $x^2 ≡ −1 \pmod p$.

Find the remainder when ${{5^5}^5}^5$ is divided by $24$

Modulus Notation Division

Find all incongruent solutions to $21x \equiv 14 \pmod{91}$

Prove that the Gaussian integer $a$ is a prime element if $N(a)=p$ or $p^2$ where $p$ is congruent t0 3 mod 4

Why is $x^2 \equiv 1 \pmod{x+1}$ for $x > 0$?

$17x+11y \equiv 7 \pmod {29}$ and $13x+10y \equiv 8 \pmod {29}$. What are x and y?

Solving $x^2 \equiv -x\pmod{2015}$

Solve the following congruence: $x(x+1)(x+2) \equiv 0 \pmod{221}$

Remainder when ${45^{17}}^{17}$ is divided by 204

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