List questions from diophantine-equations

Published on 08 May 2023 - 16:28

67

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Symmetrical counting problem

Published on 28 Mar 2026 - 7:35

149

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Solve in integers: $(x + y + z + v)^2 - 29w = 2023, xy + yz + zv + vx - w^2 = 475$

Published on 15 May 2023 - 7:27

199

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Factoring using Euler's identity and Lagrange’s 4-square theorem

Published on 04 Apr 2026 - 19:11

162

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integral solutions of polynomials in two variables

Published on 03 Apr 2026 - 13:20

106

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Integer solutions to $\sqrt{x_1}+\cdots+\sqrt{x_k}=\sqrt{y}$

Published on 05 Jun 2023 - 3:41

51

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Solutions to diophantine equations involving the determinant of circulant matrices

Published on 25 Mar 2026 - 6:04

97

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Solution to the Diophantine equation subject to particular conditions

Published on 09 Jun 2023 - 19:22

135

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$n^6+18n$ is a perfect square if and only if $n=2$

Published on 12 Jun 2023 - 17:34

132

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Solving the equation $16c^2=a^2+15b^2$ over integers

Published on 12 Jun 2023 - 19:52

61

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Strange diophantine equation and one solution

Published on 14 Jun 2023 - 11:14

50

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Finding every solution of $a^2+b^2+c^2=3$ in $\mathbb{Q}(i)$

Published on 26 Mar 2026 - 1:03

71

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Rational Parameterization of $c^2 = a^2 + b^2 = d^2 + 4 b^2$

Published on 16 Jun 2023 - 16:06

62

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Solving a system of simultaneous equations in 2 variables

Published on 20 Jun 2023 - 21:50

121

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The diophantine equation $ a^2 + p b^2 = c^2 + p d^2 = q $ and related ring theory questions.

Published on 28 Mar 2026 - 23:59

List Question

Number of solutions of $100x+10y+z=5xyz$

Symmetrical counting problem

Solve in integers: $(x + y + z + v)^2 - 29w = 2023, xy + yz + zv + vx - w^2 = 475$

Factoring using Euler's identity and Lagrange’s 4-square theorem

integral solutions of polynomials in two variables

Integer solutions to $\sqrt{x_1}+\cdots+\sqrt{x_k}=\sqrt{y}$

Solutions to diophantine equations involving the determinant of circulant matrices

Solution to the Diophantine equation subject to particular conditions

$n^6+18n$ is a perfect square if and only if $n=2$

Solving the equation $16c^2=a^2+15b^2$ over integers

Strange diophantine equation and one solution

Finding every solution of $a^2+b^2+c^2=3$ in $\mathbb{Q}(i)$

Rational Parameterization of $c^2 = a^2 + b^2 = d^2 + 4 b^2$

Solving a system of simultaneous equations in 2 variables

The diophantine equation $ a^2 + p b^2 = c^2 + p d^2 = q $ and related ring theory questions.

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