List questions from congruences

Published on 07 Feb 2016 - 21:33

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Solving simultaneous linear congruences for two unknowns

Published on 08 Feb 2016 - 23:26

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Properties of the Discrete Logarithm Problem

Published on 10 Feb 2016 - 18:53

49

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Prove that the mean of the $u_i$'s generated by a congruential linear generator of complete period is $\frac{1}{2} -\frac{1}{2m}$

Published on 25 Mar 2026 - 15:52

149

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Congruence problem $12x\equiv3\pmod{45}$

Published on 11 Feb 2016 - 18:47

76

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Show that if p is an odd prime, with p $\equiv 3 \pmod 4$ then $(\mathbb{Z}^_{p})^4$ = $(\mathbb{Z}^_{p})^2$.

Published on 11 Feb 2016 - 20:39

406

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What is the congruence class of a complex number modulo a prime?

Published on 16 Feb 2016 - 15:21

272

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Finding remainder of the big integer?

Published on 17 Feb 2016 - 9:32

8.4k

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Number of solutions for $x^2 \equiv x \pmod m$

Published on 18 Feb 2016 - 16:12

956

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When is $(p-2)!-1$ power of $p$ if $p$ is prime?

Published on 18 Feb 2016 - 20:45

364

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Find all integers $k$ such that $5^k\equiv 97 \pmod{101}$

Published on 18 Feb 2016 - 22:44

165

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Solving $x^e =c$ in $\mathbb{F}_{p}$

Published on 21 Feb 2016 - 1:14

74

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Is saying $n \not\equiv \pm a$ mod $p$ equivalent to saying $n^2 \not \equiv a^2$ mod $p$?

Published on 24 Feb 2016 - 16:03

1.6k

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How do I solve the system of congruences $x \equiv 1 \pmod{3}$, $x \equiv 2 \pmod{4}$, $x \equiv 4 \pmod{5}$, $x \equiv 2 \pmod{7}$?

Published on 24 Feb 2026 - 3:52

83

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If $y\equiv 1 mod 4$ then $y^2 \equiv 1 mod 8$

Published on 24 Feb 2016 - 17:25

List Question

Proofs of congruence relations

Solving simultaneous linear congruences for two unknowns

Properties of the Discrete Logarithm Problem

Prove that the mean of the $u_i$'s generated by a congruential linear generator of complete period is $\frac{1}{2} -\frac{1}{2m}$

Congruence problem $12x\equiv3\pmod{45}$

Show that if p is an odd prime, with p $\equiv 3 \pmod 4$ then $(\mathbb{Z}^_{p})^4$ = $(\mathbb{Z}^_{p})^2$.

What is the congruence class of a complex number modulo a prime?

Finding remainder of the big integer?

Number of solutions for $x^2 \equiv x \pmod m$

When is $(p-2)!-1$ power of $p$ if $p$ is prime?

Find all integers $k$ such that $5^k\equiv 97 \pmod{101}$

Solving $x^e =c$ in $\mathbb{F}_{p}$

Is saying $n \not\equiv \pm a$ mod $p$ equivalent to saying $n^2 \not \equiv a^2$ mod $p$?

How do I solve the system of congruences $x \equiv 1 \pmod{3}$, $x \equiv 2 \pmod{4}$, $x \equiv 4 \pmod{5}$, $x \equiv 2 \pmod{7}$?

If $y\equiv 1 mod 4$ then $y^2 \equiv 1 mod 8$

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