List questions from congruences

Published on 14 Apr 2016 - 16:12

93

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Solve the following equation in $\mathbb{Z}_{16}$

Published on 15 Apr 2016 - 13:47

105

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Is it true: $3k^2+1$ is a perfect square if and only if $k=1$ or $4$

Published on 16 Apr 2016 - 10:50

136

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Understanding Fermats Little Theorem

Published on 16 Apr 2016 - 14:28

400

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Show that 3 is a primitive root modulo 14. Then, write the other primitive roots modulo 14 in terms of powers of 3. How many are there?

Published on 29 Mar 2026 - 16:30

22

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Question regarding congruence notation

Published on 25 Mar 2026 - 17:17

132

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Explain this step in solving this system of linear congruences.

Published on 20 Apr 2016 - 13:51

123

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Help me to understand question on Linear Congruence in simplest and elaborated way.

Published on 20 Apr 2016 - 14:58

144

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Proof of $a^{m \, \pmod{\varphi(n)}} \equiv a^m\pmod n$

Published on 20 Apr 2016 - 19:19

79

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Find an affine linear map given two vectors

Published on 29 Mar 2026 - 4:48

49

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How do I prove the equivalence of these two congruences?

Published on 22 Apr 2016 - 17:13

2.2k

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What does x equivalent to 2 mod 15 mean?

Published on 22 Apr 2016 - 22:03

912

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Find two pairs of relatively prime positive integers $(a,c)$ so that $a^2+5929=c^2$. Can you find additional pairs with $gcd(a,c)>1$?

Published on 23 Apr 2016 - 0:54

4.5k

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Solution to exponential congruence

Published on 23 Apr 2016 - 15:42

1.3k

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Fermat's little theorem's proof for a negative integer

Published on 24 Apr 2016 - 21:28

List Question

Solving a basic linear congruence

Solve the following equation in $\mathbb{Z}_{16}$

Is it true: $3k^2+1$ is a perfect square if and only if $k=1$ or $4$

Understanding Fermats Little Theorem

Show that 3 is a primitive root modulo 14. Then, write the other primitive roots modulo 14 in terms of powers of 3. How many are there?

Question regarding congruence notation

Explain this step in solving this system of linear congruences.

Help me to understand question on Linear Congruence in simplest and elaborated way.

Proof of $a^{m \, \pmod{\varphi(n)}} \equiv a^m\pmod n$

Find an affine linear map given two vectors

How do I prove the equivalence of these two congruences?

What does x equivalent to 2 mod 15 mean?

Find two pairs of relatively prime positive integers $(a,c)$ so that $a^2+5929=c^2$. Can you find additional pairs with $gcd(a,c)>1$?

Solution to exponential congruence

Fermat's little theorem's proof for a negative integer

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