List questions from congruences

Published on 20 Nov 2017 - 22:14

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Congruence modulo high power problem

Published on 21 Nov 2017 - 9:01

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Chinese remainder theorem, how to get a ≡ b (mod pq) from a ≡ b (mod p) and a ≡ b (mod q)?

Published on 31 Mar 2026 - 15:18

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Determine all solutions of the congruence $y^2≡5x^3\pmod7$ in integers $x$, $y$.

Published on 30 Mar 2026 - 1:30

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Polig-helman - solving $3^x = 5 \pmod{113}$ - 2 methods give different values for $x_1$ for $40^x=42$

Published on 23 Feb 2026 - 13:44

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$a,b,c$ such that $ax^2+bx+c \equiv 0$ (mod $3$) holds for all $x$?

Published on 24 Nov 2017 - 14:21

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Determine all solutions of the congruence $4 953^m \cdot n \equiv 13 383 \pmod{14 553}$ in integers $m,n$.

Published on 27 Nov 2017 - 21:56

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System of modular equations with solutions in an interval

Published on 31 Mar 2026 - 3:57

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Prove it if it is true or give counterexample if it is false

Published on 29 Nov 2017 - 16:00

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Show that a congruence has solution iff “something” is a quadratic residue

Published on 29 Mar 2026 - 17:24

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Linear congruence with Fermat's little theorem 987x ≡ 610 (mod 1597)

Published on 01 Dec 2017 - 19:29

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Solving $2x \equiv 3 [10]$ and $2x \equiv 6 [10]$ in $\mathbb{Z}/10\mathbb{Z}$

Published on 02 Dec 2017 - 8:46

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Solving linear congruence system

Published on 02 Dec 2017 - 12:38

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Prove that $7^{100} - 3^{100}$ is divisible by $1000$

Published on 02 Dec 2017 - 15:47

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proving to exponential congruence

Published on 02 Dec 2017 - 18:20

List Question

Solve a system of 2 congruences

Congruence modulo high power problem

Chinese remainder theorem, how to get a ≡ b (mod pq) from a ≡ b (mod p) and a ≡ b (mod q)?

Determine all solutions of the congruence $y^2≡5x^3\pmod7$ in integers $x$, $y$.

Polig-helman - solving $3^x = 5 \pmod{113}$ - 2 methods give different values for $x_1$ for $40^x=42$

$a,b,c$ such that $ax^2+bx+c \equiv 0$ (mod $3$) holds for all $x$?

Determine all solutions of the congruence $4 953^m \cdot n \equiv 13 383 \pmod{14 553}$ in integers $m,n$.

System of modular equations with solutions in an interval

Prove it if it is true or give counterexample if it is false

Show that a congruence has solution iff “something” is a quadratic residue

Linear congruence with Fermat's little theorem 987x ≡ 610 (mod 1597)

Solving $2x \equiv 3 [10]$ and $2x \equiv 6 [10]$ in $\mathbb{Z}/10\mathbb{Z}$

Solving linear congruence system

Prove that $7^{100} - 3^{100}$ is divisible by $1000$

proving to exponential congruence

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