List questions from diophantine-equations

Published on 14 Apr 2026 - 12:47

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Find integer solution.

Published on 12 Apr 2026 - 23:41

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Prove that $y^2z^2 - y^2 -z^2$ is not a perfect square for any $y,z \in \mathbf{N}$

Published on 14 Apr 2026 - 17:36

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How to approxmate a real number by a sum of two real with integer weights?

Published on 12 Apr 2026 - 3:54

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Perfect Square With Two Integer Variables

Published on 14 Apr 2026 - 17:08

112

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What are the integer solutions to $\cos(\sqrt{n^2-1}) = \frac{1}{n}$?

Published on 13 Apr 2026 - 23:28

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On the composition of binary quadratic forms (esp. Gauss Disquitiones Arithmeticae Art. 235/236)

Published on 15 Apr 2026 - 0:28

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Find all integer solutions of equation $y = \frac{a+bx}{b-x}$

Published on 15 Apr 2026 - 14:48

160

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Solving $x^2+100=y^3$ in $\mathbb{Z}^2$

Published on 15 Apr 2026 - 17:54

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Solving for integers $m>8, n > 0$ for $2^m - 3^n = 13$

Published on 28 Apr 2026 - 20:07

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Is a way to find all positive integer solution for a linear equation that also satisfy the sum of squares of the unknowns, such that:

Published on 11 Apr 2026 - 1:19

213

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Given the following set of equations, find: $xy + 2yz + 3zx$.

Published on 15 Apr 2026 - 18:17

122

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Linear Diophantine Equation problem

Published on 09 Apr 2026 - 23:10

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The diophantine equation $T_{n}(x)=a$

Published on 11 Apr 2026 - 15:51

530

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Find all ordered pairs of integers$(x,y)$ which satisfy the equation $2(x^2+y^2)+x+y=5xy$

Published on 16 Apr 2026 - 9:54

List Question

Solve in positive integers the equation $x^3 + y^3 + z^3 - 3xyz = 1517$

Find integer solution.

Prove that $y^2z^2 - y^2 -z^2$ is not a perfect square for any $y,z \in \mathbf{N}$

How to approxmate a real number by a sum of two real with integer weights?

Perfect Square With Two Integer Variables

What are the integer solutions to $\cos(\sqrt{n^2-1}) = \frac{1}{n}$?

On the composition of binary quadratic forms (esp. Gauss Disquitiones Arithmeticae Art. 235/236)

Find all integer solutions of equation $y = \frac{a+bx}{b-x}$

Solving $x^2+100=y^3$ in $\mathbb{Z}^2$

Solving for integers $m>8, n > 0$ for $2^m - 3^n = 13$

Is a way to find all positive integer solution for a linear equation that also satisfy the sum of squares of the unknowns, such that:

Given the following set of equations, find: $xy + 2yz + 3zx$.

Linear Diophantine Equation problem

The diophantine equation $T_{n}(x)=a$

Find all ordered pairs of integers$(x,y)$ which satisfy the equation $2(x^2+y^2)+x+y=5xy$

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