List questions from diophantine-equations

Published on 19 Mar 2026 - 21:25

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$a + b = c + c$

Published on 02 Feb 2019 - 18:51

63

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Rational solutions of $x^4(k^2+4)-4kx^2=z^2$, where $k>0$ is given rational.

Published on 02 Feb 2019 - 18:57

75

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Integer solutions of $kx^2=y^3-1$, where $k$ is given positive integer.

Published on 03 Feb 2019 - 1:56

67

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Rational solutions of $k^4(x^2+4)-4xk^2=z^2$, where $k$ is given rational.

Published on 04 Feb 2019 - 0:11

94

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Integer solutions of $3^x = 2 + y^2$

Published on 04 Feb 2019 - 11:12

346

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How does this elementary method of solving Pell's equation compare with the classical methods?

Published on 04 Feb 2019 - 14:30

490

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$5 \times 5\;$ "square additive set"

Published on 25 Mar 2026 - 9:31

105

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Solve $73x-137y=0$, $x,y\in\mathbb{Z}.$

Published on 04 Feb 2019 - 23:55

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How to get only positive solution of a system of 4 variables and equations?

Published on 08 Feb 2019 - 8:37

414

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Fermat's last theorem short proof attempt

Published on 25 Mar 2026 - 23:36

143

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A prime number of the form $10^n+1$

Published on 10 Feb 2019 - 14:57

289

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Given prime $p$, find solutions to $x^2 + p y^2 = z^3$

Published on 11 Feb 2019 - 1:24

284

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Solving simultaneous (non linear) integer equations (a bit like conics)

Published on 11 Feb 2019 - 16:29

181

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Inverse Fermat's theorem

Published on 13 Feb 2019 - 11:19

List Question

Methods for solving Elliptic curve over Q taking advantage of Complex Multiplication

$a + b = c + c$

Rational solutions of $x^4(k^2+4)-4kx^2=z^2$, where $k>0$ is given rational.

Integer solutions of $kx^2=y^3-1$, where $k$ is given positive integer.

Rational solutions of $k^4(x^2+4)-4xk^2=z^2$, where $k$ is given rational.

Integer solutions of $3^x = 2 + y^2$

How does this elementary method of solving Pell's equation compare with the classical methods?

$5 \times 5\;$ "square additive set"

Solve $73x-137y=0$, $x,y\in\mathbb{Z}.$

How to get only positive solution of a system of 4 variables and equations?

Fermat's last theorem short proof attempt

A prime number of the form $10^n+1$

Given prime $p$, find solutions to $x^2 + p y^2 = z^3$

Solving simultaneous (non linear) integer equations (a bit like conics)

Inverse Fermat's theorem

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