List questions from diophantine-equations

Published on 04 Apr 2026 - 13:49

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Which positive integers satisfies $a^{b^2} = b^a$

Published on 17 Nov 2015 - 16:15

302

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Solve $y^2 = x^3 - 4$ where $x,y \in \mathbb{Z}$

Published on 17 Nov 2015 - 17:55

140

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Find all integer solutions to $x^2+y^2+z^2=2xyz$

Published on 18 Nov 2015 - 2:21

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$x^2+(a^2+b^2)x+ab=0$ where $a,b,x\in \mathbb Z$

Published on 18 Nov 2015 - 6:57

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Three diophantine equations

Published on 18 Nov 2015 - 8:35

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How to show a certain integer solution does not exist for a system of linear equations?

Published on 07 Apr 2026 - 15:34

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Prove that $x^3-x = y^2+1$ has no integer solution

Published on 19 Nov 2015 - 13:01

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Which integers $a, b, c$ satisfy the equation $a \sqrt 2 − b = c \sqrt5$?

Published on 20 Nov 2015 - 14:00

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What does it means to find an solution for an elliptical equation?

Published on 08 Apr 2026 - 21:29

114

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For which integer $x,y$ does $x^2+23=3(2^y)$

Published on 20 Nov 2015 - 15:37

574

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Frobenius Coin Problem: Can anyone prove my closed form for n = 3?

Published on 20 Nov 2015 - 19:00

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How many quadruples are there?

Published on 21 Nov 2015 - 22:25

193

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Quintic diophantine equation $x^5+y^5=7z^5$

Published on 22 Nov 2015 - 1:25

46

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number theory for finding value of $k$

Published on 22 Nov 2015 - 15:14

List Question

Original proof of Ljunggren's equation

Which positive integers satisfies $a^{b^2} = b^a$

Solve $y^2 = x^3 - 4$ where $x,y \in \mathbb{Z}$

Find all integer solutions to $x^2+y^2+z^2=2xyz$

$x^2+(a^2+b^2)x+ab=0$ where $a,b,x\in \mathbb Z$

Three diophantine equations

How to show a certain integer solution does not exist for a system of linear equations?

Prove that $x^3-x = y^2+1$ has no integer solution

Which integers $a, b, c$ satisfy the equation $a \sqrt 2 − b = c \sqrt5$?

What does it means to find an solution for an elliptical equation?

For which integer $x,y$ does $x^2+23=3(2^y)$

Frobenius Coin Problem: Can anyone prove my closed form for n = 3?

How many quadruples are there?

Quintic diophantine equation $x^5+y^5=7z^5$

number theory for finding value of $k$

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