List questions from diophantine-equations

Published on 11 Apr 2026 - 22:33

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Solve the equation $x^3 + 117y^3 = 5$ over the integers.

Published on 30 Mar 2016 - 8:50

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Alternative method to solve quadratic Diophantine equations

Published on 12 Apr 2026 - 9:59

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Transforming Diophantine quadratic equation to Pell's equation

Published on 10 Apr 2026 - 17:17

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Find all nonnegative integer solutions to $x^3 + 8x^2 − 6x + 8 = y^3$.

Published on 01 Apr 2016 - 14:32

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Why there isn't any integer solutions in non-zero integers for $z^3 = 3(x^3 +y^3+2xyz)$?

Published on 04 Apr 2016 - 7:27

336

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Parametrization of $a^2+b^2+c^2=d^2+e^2+f^2$

Published on 04 Apr 2016 - 11:57

136

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Quadratic Diophantine Equation $x^2 + 2y^2 = 2013$

Published on 04 Apr 2016 - 13:32

105

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Non-linear Diophantine equation on integer quadruples

Published on 10 Apr 2026 - 21:06

52

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Coprime - Irreducibility - Natural numbers

Published on 11 Apr 2026 - 10:02

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Show that $x^2 + y^2 + z^2 = x^3 + y^3 + z^3$ has infinitely many integer solutions.

Published on 28 Mar 2026 - 21:26

107

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Finding solutions to $x^2+y^2+z^2=w^3$

Published on 08 Apr 2016 - 21:17

495

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Find all integer solutions to $\frac{1}{x} + \frac{1}{y} = \frac{2}{3}$

Published on 09 Apr 2026 - 13:08

130

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Find all $x,y$ so that $\dfrac{x+y+2}{xy-1}$ is an integer.

Published on 11 Apr 2016 - 20:19

130

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Solutions to the diophantine equation $6x^2 - 6x - y^2 + y=0$?

Published on 12 Apr 2016 - 1:53

List Question

Why chord and tangent method does not give further points on Fermat's curve?

Solve the equation $x^3 + 117y^3 = 5$ over the integers.

Alternative method to solve quadratic Diophantine equations

Transforming Diophantine quadratic equation to Pell's equation

Find all nonnegative integer solutions to $x^3 + 8x^2 − 6x + 8 = y^3$.

Why there isn't any integer solutions in non-zero integers for $z^3 = 3(x^3 +y^3+2xyz)$?

Parametrization of $a^2+b^2+c^2=d^2+e^2+f^2$

Quadratic Diophantine Equation $x^2 + 2y^2 = 2013$

Non-linear Diophantine equation on integer quadruples

Coprime - Irreducibility - Natural numbers

Show that $x^2 + y^2 + z^2 = x^3 + y^3 + z^3$ has infinitely many integer solutions.

Finding solutions to $x^2+y^2+z^2=w^3$

Find all integer solutions to $\frac{1}{x} + \frac{1}{y} = \frac{2}{3}$

Find all $x,y$ so that $\dfrac{x+y+2}{xy-1}$ is an integer.

Solutions to the diophantine equation $6x^2 - 6x - y^2 + y=0$?

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