List questions from diophantine-equations

Published on 13 Apr 2026 - 5:15

584

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Product of consecutive natural numbers

Published on 11 Apr 2026 - 17:31

121

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Is there a generalisation of Catalan's Conjecture hiding in the solution to $(2^m-1) = (2^n-1)k^2$?

Published on 15 Apr 2026 - 12:31

265

Views

I want to find all the rational solutions of $x^2+y^3=z^3$

Published on 16 Apr 2026 - 12:55

152

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Show $x=0$ and $x=1$ are the only integer solutions

Published on 15 Apr 2026 - 4:01

83

Views

Question about parametric divisibility relations

Published on 12 Apr 2026 - 6:56

780

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How many positive integer solutions are there to the equation $^2 + 2^2 = 4^2$?

Published on 15 Apr 2026 - 14:29

322

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Ordered pairs of positive integers $2^{2x} - y^2 = 60$

Published on 16 Apr 2026 - 0:18

175

Views

Did Lagrange and/or Lebesgue and/or Lucas solve Ljunggren's equation?

Published on 16 Apr 2026 - 12:38

167

Views

Special Diophantine Equation, Special Pell's Equation

Published on 15 Apr 2026 - 4:32

196

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find all solutions to a system of equation in a given range.

Published on 12 Apr 2026 - 13:25

73

Views

Queer Diophantine Equation

Published on 13 Apr 2026 - 6:33

263

Views

How to solve the equation, $(x+y)(y+z)(x+z) = 13xyz$ for $x,y,z \in Z$.

Published on 12 Apr 2026 - 18:36

163

Views

How to prove or disprove $(x+y)(x+z)(z+y)=txyz$ has infinitely many solutions.

Published on 17 Apr 2026 - 5:56

127

Views

Does $a^4+b^4+c^4=d^4$ have a solution in $\mathbb{C}$ when $\|a\|=\|b\|=\|c\|$?

Published on 26 Mar 2026 - 6:05

List Question

Finding ALL rational solutions to a diophantine equation

Product of consecutive natural numbers

Is there a generalisation of Catalan's Conjecture hiding in the solution to $(2^m-1) = (2^n-1)k^2$?

I want to find all the rational solutions of $x^2+y^3=z^3$

Show $x=0$ and $x=1$ are the only integer solutions

Question about parametric divisibility relations

How many positive integer solutions are there to the equation $^2 + 2^2 = 4^2$?

Ordered pairs of positive integers $2^{2x} - y^2 = 60$

Did Lagrange and/or Lebesgue and/or Lucas solve Ljunggren's equation?

Special Diophantine Equation, Special Pell's Equation

find all solutions to a system of equation in a given range.

Queer Diophantine Equation

How to solve the equation, $(x+y)(y+z)(x+z) = 13xyz$ for $x,y,z \in Z$.

How to prove or disprove $(x+y)(x+z)(z+y)=txyz$ has infinitely many solutions.

Does $a^4+b^4+c^4=d^4$ have a solution in $\mathbb{C}$ when $\|a\|=\|b\|=\|c\|$?

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