List questions from diophantine-equations

Published on 04 Feb 2015 - 12:37

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Three variable, second-degree symmetric Diophantine equation

Published on 04 Feb 2015 - 20:24

779

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How do I prove that this Diophantine equation has no solutions?

Published on 04 Feb 2015 - 20:34

230.4k

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Find a solution: $3(x^2+y^2+z^2)=10(xy+yz+zx)$

Published on 04 Feb 2015 - 22:53

119

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Is it possible to solve $ax^2+hxy+by^2+c=0$ in integers?

Published on 05 Feb 2015 - 11:23

417

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Find the solutions in positive integers $m^2 + 615 =2^n$

Published on 31 Mar 2026 - 12:21

91

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Solving a diophantine equation

Published on 07 Feb 2015 - 12:47

106

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Show that the equation $4x=y^2+z^2+1$ has no integer solution

Published on 07 Feb 2015 - 15:00

114

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Natural solutions to $4^n + 2^{n + 1} = 2^{k}$

Published on 07 Feb 2015 - 17:40

78

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Solving $x^p+ax^q+b=0$ with $x,a,b$ integer and $p-q>1$

Published on 08 Feb 2015 - 1:45

215

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Cubes of the Form $3x^2\pm xy+5y^2$, with $x,y$ Coprime

Published on 27 Feb 2026 - 23:48

438

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Finding integer solutions

Published on 25 Mar 2026 - 15:57

10.3k

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Fermat's Last Theorem simple proof

Published on 28 Mar 2026 - 14:53

165

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How to solve $4x^3-3z^2=y^6$ in positive integers?

Published on 09 Feb 2015 - 16:30

List Question

Diophantine equation: $3a^2+3b^2+19ab=0$.

Three variable, second-degree symmetric Diophantine equation

How do I prove that this Diophantine equation has no solutions?

Find a solution: $3(x^2+y^2+z^2)=10(xy+yz+zx)$

Is it possible to solve $ax^2+hxy+by^2+c=0$ in integers?

Find the solutions in positive integers $m^2 + 615 =2^n$

Solving a diophantine equation

Show that the equation $4x=y^2+z^2+1$ has no integer solution

Natural solutions to $4^n + 2^{n + 1} = 2^{k}$

Solving $x^p+ax^q+b=0$ with $x,a,b$ integer and $p-q>1$

Cubes of the Form $3x^2\pm xy+5y^2$, with $x,y$ Coprime

Finding integer solutions

Fermat's Last Theorem simple proof

Other Diophantine problems that use a Pell equation

How to solve $4x^3-3z^2=y^6$ in positive integers?

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