List questions from diophantine-equations

Published on 03 Mar 2017 - 4:08

245

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Diophantine equation

Published on 26 Mar 2026 - 12:45

382

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How to find an upper bound on the number of solutions of $y^3=x^2+4^k$

Published on 25 Mar 2026 - 1:18

131

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The diophantine equation $y^3=x^2+4$ has only $4$ solutions. Is there an easy proof?

Published on 03 Mar 2017 - 11:41

1.6k

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Solving: $3^m-2=n^2$

Published on 03 Mar 2017 - 12:37

66

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Find integer solution(s) to $(n-2)(p^2+n)^{14}=z^{13}$.

Published on 03 Mar 2017 - 19:40

227

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$x^2 + y^2 + xy = x^2y^2$ has no solutions

Published on 04 Mar 2017 - 4:32

155

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Diophantine Equations - 4th Powers / Computational Number Theory

Published on 05 Mar 2017 - 23:03

454

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Does there exist $a \in \mathbb{Q}$ such that $a^2 - a + 1$ is a square?

Published on 06 Mar 2017 - 4:49

240

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Probability that a linear Diophantine equation has a solution

Published on 02 Apr 2026 - 15:11

166

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Can $\sigma(p^k)=2^n$ for some $k>1$?

Published on 25 Mar 2026 - 15:21

56

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Number of integer solution to $P(X_1,\dotsc,X_n)=c$ where $P$ is a homogeneous polynomial

Published on 07 Mar 2017 - 20:09

30

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System of linear equations solution?

Published on 07 Mar 2017 - 23:36

87

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Positive diophantine solutions

Published on 25 Mar 2026 - 17:11

170

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On the Diophantine equation $2(a^3+b^3+c^3)=abc(abc+6)$

Published on 08 Mar 2017 - 10:36

List Question

Diophantine equation problem

Diophantine equation

How to find an upper bound on the number of solutions of $y^3=x^2+4^k$

The diophantine equation $y^3=x^2+4$ has only $4$ solutions. Is there an easy proof?

Solving: $3^m-2=n^2$

Find integer solution(s) to $(n-2)(p^2+n)^{14}=z^{13}$.

$x^2 + y^2 + xy = x^2y^2$ has no solutions

Diophantine Equations - 4th Powers / Computational Number Theory

Does there exist $a \in \mathbb{Q}$ such that $a^2 - a + 1$ is a square?

Probability that a linear Diophantine equation has a solution

Can $\sigma(p^k)=2^n$ for some $k>1$?

Number of integer solution to $P(X_1,\dotsc,X_n)=c$ where $P$ is a homogeneous polynomial

System of linear equations solution?

Positive diophantine solutions

On the Diophantine equation $2(a^3+b^3+c^3)=abc(abc+6)$

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