List questions from diophantine-equations

Published on 17 Apr 2026 - 0:37

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The complete solution to $x_1^k+x_2^k+x_3^k = y_1^k+y_2^k+y_3^k$, for $k=1,2$?

Published on 17 Apr 2026 - 2:05

151

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Count number of positive integer solutions of $x^2(8x-3)=y^2z$?

Published on 15 Apr 2026 - 9:32

1.8k

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Infinite solutions of Pell's equation $x^{2} - dy^{2} = 1$

Published on 15 Apr 2026 - 3:10

737

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The values of $N$ for which $N(N-101)$ is a perfect square

Published on 14 Apr 2026 - 19:45

219

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Diophantine equation $x^3=a^2+b^2+c^2$

Published on 16 Apr 2026 - 12:40

1.4k

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A natural number equation

Published on 10 Apr 2026 - 2:44

577

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Number of teeth in gears

Published on 11 Apr 2026 - 20:05

356

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Number of Solutions to Diophantine Equation

Published on 14 Apr 2026 - 11:27

97

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A diophantine equation

Published on 14 Apr 2026 - 16:42

774

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Prove that every practical number is either a power of two or a power of two times a non-trivial polygonal number

Published on 13 Apr 2026 - 1:12

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two questions about Diophantine Equation

Published on 10 Apr 2026 - 8:11

51

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Gap:$\;\;L(90,28) := {\{n90 - m28 ∈ N, n, m ∈ N, n < 28\}}$

Published on 15 Apr 2026 - 19:11

159

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Step in a solution of $y^2 = x^3 - 2$

Published on 16 Apr 2026 - 3:28

1.9k

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Pythagorean Quadruples:

Published on 10 Apr 2026 - 9:36

List Question

Find $a,b\in\mathbb{Z}^{+}$ such that $\large (\sqrt[3]{a}+\sqrt[3]{b}-1)^2=49+20\sqrt[3]{6}$

The complete solution to $x_1^k+x_2^k+x_3^k = y_1^k+y_2^k+y_3^k$, for $k=1,2$?

Count number of positive integer solutions of $x^2(8x-3)=y^2z$?

Infinite solutions of Pell's equation $x^{2} - dy^{2} = 1$

The values of $N$ for which $N(N-101)$ is a perfect square

Diophantine equation $x^3=a^2+b^2+c^2$

A natural number equation

Number of teeth in gears

Number of Solutions to Diophantine Equation

A diophantine equation

Prove that every practical number is either a power of two or a power of two times a non-trivial polygonal number

two questions about Diophantine Equation

Gap:$\;\;L(90,28) := {\{n90 - m28 ∈ N, n, m ∈ N, n < 28\}}$

Step in a solution of $y^2 = x^3 - 2$

Pythagorean Quadruples:

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