List questions from congruences

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Counting the number of solutions of the congruence $x^k\equiv h$ (mod q)

Published on 18 Mar 2026 - 2:22

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Considering a prime $p$ of the form $4k+3$. Show that for any pair of integers $(a,b)$, we can get $k,l$ having these properties

Published on 24 Mar 2026 - 15:30

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Congruence equation ...

Published on 19 Mar 2026 - 12:36

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Reducing products in modular arithmetic

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Can you apply CRT to the congruence $84x ≡ 68$ $(mod$ $400)$?

Published on 22 Mar 2026 - 20:34

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Solving a linear system of congruences

Published on 20 Mar 2026 - 13:07

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Computing admissible integers for the Atanassov-Halton sequence

Published on 22 Mar 2026 - 11:16

54

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How to prove the congruency of these triangles

Published on 24 Mar 2026 - 11:43

193

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Proof congruence identity modulo $p$: $2^2\cdot4^2\cdot\dots\cdot(p-3)^2\cdot(p-1)^2 \equiv (-1)^{\frac{1}{2}(p+1)}\mod{p}$

Published on 24 Mar 2026 - 15:30

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How to combine congruences?

Published on 19 Mar 2026 - 21:26

94

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Does this congruence equation system have no solutions?

Published on 17 Mar 2026 - 0:30

719

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System of two congruence equations

Published on 17 Mar 2026 - 8:08

557

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Apparently discordant result using the Chinese Remainder Theorem (CRT)

Published on 22 Mar 2026 - 16:02

226

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Congruencies for Fibonacci numbers

Published on 21 Mar 2026 - 23:49

List Question

How do I find the least x that satisfies this congruence properties?

Counting the number of solutions of the congruence $x^k\equiv h$ (mod q)

Considering a prime $p$ of the form $4k+3$. Show that for any pair of integers $(a,b)$, we can get $k,l$ having these properties

Congruence equation ...

Reducing products in modular arithmetic

Can you apply CRT to the congruence $84x ≡ 68$ $(mod$ $400)$?

Solving a linear system of congruences

Computing admissible integers for the Atanassov-Halton sequence

How to prove the congruency of these triangles

Proof congruence identity modulo $p$: $2^2\cdot4^2\cdot\dots\cdot(p-3)^2\cdot(p-1)^2 \equiv (-1)^{\frac{1}{2}(p+1)}\mod{p}$

How to combine congruences?

Does this congruence equation system have no solutions?

System of two congruence equations

Apparently discordant result using the Chinese Remainder Theorem (CRT)

Congruencies for Fibonacci numbers

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