List questions from modular-arithmetic

Published on 09 Jun 2019 - 20:22

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Number theory modulo problem

Published on 09 Jun 2019 - 22:33

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Solve $(y^2 + xy)(x^2 - x + 1) = 3x - 1$ over the integers.

Published on 28 Mar 2026 - 14:44

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Solve system of congruences $k^2 + l^2 \equiv 0 \mod 17 \wedge k^3+l^3 \equiv 0 \mod 17$

Published on 10 Jun 2019 - 7:51

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Prove that $6|a+b+c $ if and only if $6|a^3 +b^3+c^3$

Published on 28 Mar 2026 - 12:14

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Solutions to $y^2 = x^3 + x$ in $\mathbb{P}^2(\mathbb{F_p})$.

Published on 28 Mar 2026 - 7:51

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Basis of subspace that consists of polynomials that are divisible by $x^2+x+\overline{1}$

Published on 10 Jun 2019 - 11:59

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Rational numbers modulo $p$ for some prime $p$

Published on 25 Mar 2026 - 17:36

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Trig identities analogous to $\tan(\pi/5)+4\sin(\pi/5)=\sqrt{5+2\sqrt{5}}$

Published on 23 Feb 2026 - 4:56

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Number of solutions of linear congruence

Published on 10 Jun 2019 - 22:18

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Congruences in chinese remainder theorem

Published on 25 Mar 2026 - 18:47

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Prove that $\sum_{j = 0}^p {p \choose j}{p + j \choose j} \equiv 2^p + 1 ~(\text{mod}~p^2)$

Published on 30 Mar 2026 - 11:58

30

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Power residue when changing level

Published on 29 Mar 2026 - 15:53

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How many positive integer $(n < 180)$ that$ (n^3 + 3n+1)^{180} (mod 180) = 1 $?

Published on 12 Jun 2019 - 8:12

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How can I solve a system of 2 congruences?

Published on 25 Mar 2026 - 4:40

List Question

Sum of the first four positive integer $ \ a \ $ such that $ \ a^{2019} \pmod{2019 }= 1$

Number theory modulo problem

Solve $(y^2 + xy)(x^2 - x + 1) = 3x - 1$ over the integers.

Solve system of congruences $k^2 + l^2 \equiv 0 \mod 17 \wedge k^3+l^3 \equiv 0 \mod 17$

Prove that $6|a+b+c $ if and only if $6|a^3 +b^3+c^3$

Solutions to $y^2 = x^3 + x$ in $\mathbb{P}^2(\mathbb{F_p})$.

Basis of subspace that consists of polynomials that are divisible by $x^2+x+\overline{1}$

Rational numbers modulo $p$ for some prime $p$

Trig identities analogous to $\tan(\pi/5)+4\sin(\pi/5)=\sqrt{5+2\sqrt{5}}$

Number of solutions of linear congruence

Congruences in chinese remainder theorem

Prove that $\sum_{j = 0}^p {p \choose j}{p + j \choose j} \equiv 2^p + 1 ~(\text{mod}~p^2)$

Power residue when changing level

How many positive integer $(n < 180)$ that$ (n^3 + 3n+1)^{180} (mod 180) = 1 $?

How can I solve a system of 2 congruences?

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