List questions from congruences

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

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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

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Congruence equation ...

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Reducing products in modular arithmetic

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

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Solving a linear system of congruences

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Computing admissible integers for the Atanassov-Halton sequence

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How to prove the congruency of these triangles

Published on 18 Apr 2026 - 22:02

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

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How to combine congruences?

Published on 29 Apr 2026 - 12:16

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Does this congruence equation system have no solutions?

Published on 29 Apr 2026 - 12:23

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System of two congruence equations

Published on 29 Apr 2026 - 12:23

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Apparently discordant result using the Chinese Remainder Theorem (CRT)

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Congruencies for Fibonacci numbers

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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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