List questions from diophantine-equations

Published on 13 Apr 2026 - 20:11

241

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The solutions of the equation $|p^3-q^2|=2^n$

Published on 15 Apr 2026 - 21:06

123

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Find all positive integer solutions of $ (2x-1)^3 +16 = y^4. $

Published on 15 Apr 2026 - 18:00

82

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Unsolvability of a diophantine equation is equivalent to a given mathematical case

Published on 12 Apr 2026 - 8:29

78

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Odd cubes of the form $x^2+y^2-xy$

Published on 17 Apr 2026 - 6:07

138

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Showing that $(x,y)=(4,5), (5,4)$ are the only positive integer solutions to $x+y=3n, x^2+y^2-xy=7n$

Published on 15 Apr 2026 - 20:59

116

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Is this factoring method an algorithm?

Published on 23 Apr 2026 - 1:07

97

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Solvability of a particular Negative Pell's Equation

Published on 09 Apr 2026 - 14:34

231

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Fermat's Last Theorem for $n=4$ revisited

Published on 15 Apr 2026 - 22:21

117

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Diophantine equation with constraints

Published on 10 Apr 2026 - 6:43

186

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How can I make this kind of proof rigorous?

Published on 11 Apr 2026 - 4:49

127

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Given $k$, can we find $n$ such that $d$ is a perfect square

Published on 16 Apr 2026 - 8:53

95

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Find all integers n having the property that $\frac{2^n+1}{n^2}$ is an integer

Published on 15 Apr 2026 - 10:58

138

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Solve in integers $y^2 = x^3 + (x+4)^2$

Published on 16 Apr 2026 - 10:34

701

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Is there an explicitly known Diophantine equation whose solvability is undecidable in ZFC?

Published on 13 Apr 2026 - 0:48

List Question

Is the Diophantine equation $y(x^3-y)=z^2+2$ solvable?

The solutions of the equation $|p^3-q^2|=2^n$

Find all positive integer solutions of $ (2x-1)^3 +16 = y^4. $

Unsolvability of a diophantine equation is equivalent to a given mathematical case

Odd cubes of the form $x^2+y^2-xy$

Showing that $(x,y)=(4,5), (5,4)$ are the only positive integer solutions to $x+y=3n, x^2+y^2-xy=7n$

Is this factoring method an algorithm?

Solvability of a particular Negative Pell's Equation

Fermat's Last Theorem for $n=4$ revisited

Diophantine equation with constraints

How can I make this kind of proof rigorous?

Given $k$, can we find $n$ such that $d$ is a perfect square

Find all integers n having the property that $\frac{2^n+1}{n^2}$ is an integer

Solve in integers $y^2 = x^3 + (x+4)^2$

Is there an explicitly known Diophantine equation whose solvability is undecidable in ZFC?

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