List questions from diophantine-equations

503

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Solve over natural numbers: $m^3=2n^3+6n^2$. Functional equation gives rise to a diophantine equation!

Published on 17 Feb 2023 - 10:30

246

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Determine a value, where quadratic equation will generate the perfect square

Published on 17 Feb 2023 - 22:39

87

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Rational solutions of the equation $Y^3=X^3-5 X^2+8 X-4$

Published on 18 Feb 2023 - 15:11

90

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Weighted sum of squares

Published on 19 Feb 2023 - 8:33

106

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Is there a general algorithm to decide whether an integer value is attainable by a quadratic form?

Published on 29 Mar 2026 - 22:26

115

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On the elliptic curve $u(u+2186^2)(u+2188^2)=v^2$ and 7th powers?

Published on 25 Mar 2026 - 6:03

212

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The diophantine equations $x^2-y^5=\pm2$

Published on 22 Feb 2023 - 17:54

507

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Gap between two Pythagorean triples

Published on 27 Mar 2026 - 4:14

114

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No Rational Solutions To Elliptic Curve System

Published on 01 Apr 2026 - 19:06

148

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Find maximum value of $y$ for which $y^2xz^3 + yx^2$ is a perfect square

Published on 01 Apr 2026 - 16:57

97

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Solving the Diophantine system of equations $w + x + y - z = a, wx + yz = b$

Published on 05 Mar 2023 - 5:25

105

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Criteria for a linear system of equations to have integer solutions

Published on 06 Mar 2023 - 5:57

152

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Rational solutions to $\{x^2+y^2=2,x^2+z^2=4\}$

Published on 01 Apr 2026 - 19:08

33

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Index of generating set to $E(\mathbb{Q} ) /2E(\mathbb{Q} )$ can be arbitrarly large

Published on 01 Apr 2026 - 19:08

91

Views

Who can prove that $7|4x^2+5x+2+d $ following solutions I found are correct?

Published on 10 Mar 2023 - 6:09

List Question

Solve over natural numbers: $m^3=2n^3+6n^2$. Functional equation gives rise to a diophantine equation!

Determine a value, where quadratic equation will generate the perfect square

Rational solutions of the equation $Y^3=X^3-5 X^2+8 X-4$

Weighted sum of squares

Is there a general algorithm to decide whether an integer value is attainable by a quadratic form?

On the elliptic curve $u(u+2186^2)(u+2188^2)=v^2$ and 7th powers?

The diophantine equations $x^2-y^5=\pm2$

Gap between two Pythagorean triples

No Rational Solutions To Elliptic Curve System

Find maximum value of $y$ for which $y^2xz^3 + yx^2$ is a perfect square

Solving the Diophantine system of equations $w + x + y - z = a, wx + yz = b$

Criteria for a linear system of equations to have integer solutions

Rational solutions to $\{x^2+y^2=2,x^2+z^2=4\}$

Index of generating set to $E(\mathbb{Q} ) /2E(\mathbb{Q} )$ can be arbitrarly large

Who can prove that $7|4x^2+5x+2+d $ following solutions I found are correct?

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