List questions from diophantine-equations

Published on 13 Oct 2019 - 8:40

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Integral Cuboid Problem

Published on 12 Oct 2019 - 5:57

249

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Find all possible ordered triples for the system

Published on 15 Oct 2019 - 9:04

453

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How do I find natural number solutions?

Published on 15 Oct 2019 - 9:07

352

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No solutions to $x^2+y^2+z^2 = 7t^2$

Published on 15 Oct 2019 - 18:00

142

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Find all solutions $(x, y, z)$ ∈ $\mathbb N^+ ×\mathbb N^+ ×\mathbb N^+$ for the following equations in $\mathbb Z$

Published on 18 Oct 2019 - 11:03

125

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Find three rational numbers $a,b,c$ s.t. $c^2-b^2=b^2-a^2=1111$.

Published on 18 Oct 2019 - 14:12

171

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Show that there exists no solution with $(x, y, z)$ ∈ $\mathbb N^+ × \mathbb N^+ × \mathbb N^+$

Published on 19 Oct 2019 - 9:05

41

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What are the integer solutions of the equation $(x^2 -1)(y^2 -1)=2(7xy-24)$

Published on 19 Oct 2019 - 20:10

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Primitive instances where $c^3|(a^3+b^3)$ with $a,b,c\in\mathbb{N}$

Published on 26 Mar 2026 - 12:41

233

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Number of solutions to the Diophantine equation $xy-6(x+y)= 0$ such that $x\leq y$

Published on 20 Oct 2019 - 9:22

73

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Is there for all $N$ an integer that is the sum of, say, twenty $N$-th powers in two different ways?

Published on 25 Mar 2026 - 11:14

59

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Solving the Diophantine equation $pX^2+qY+d = 0$

Published on 20 Oct 2019 - 23:19

117

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How can I solve $2^{x}+1=y^{2}$?

Published on 21 Oct 2019 - 15:37

60

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Check if a general nth degree diophantine equation has solutions

Published on 22 Oct 2019 - 4:39

List Question

transforming problems into Diophantine equations

Integral Cuboid Problem

Find all possible ordered triples for the system

How do I find natural number solutions?

No solutions to $x^2+y^2+z^2 = 7t^2$

Find all solutions $(x, y, z)$ ∈ $\mathbb N^+ ×\mathbb N^+ ×\mathbb N^+$ for the following equations in $\mathbb Z$

Find three rational numbers $a,b,c$ s.t. $c^2-b^2=b^2-a^2=1111$.

Show that there exists no solution with $(x, y, z)$ ∈ $\mathbb N^+ × \mathbb N^+ × \mathbb N^+$

What are the integer solutions of the equation $(x^2 -1)(y^2 -1)=2(7xy-24)$

Primitive instances where $c^3|(a^3+b^3)$ with $a,b,c\in\mathbb{N}$

Number of solutions to the Diophantine equation $xy-6(x+y)= 0$ such that $x\leq y$

Is there for all $N$ an integer that is the sum of, say, twenty $N$-th powers in two different ways?

Solving the Diophantine equation $pX^2+qY+d = 0$

How can I solve $2^{x}+1=y^{2}$?

Check if a general nth degree diophantine equation has solutions

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