List questions from diophantine-equations

Published on 17 Apr 2026 - 12:32

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Proof that $x^2 - 2y^2 = -1$ has a recurring solution for $x$

Published on 15 Apr 2026 - 12:21

200

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Diophantine Equation in $\mathbb{Z}$

Published on 10 Apr 2026 - 4:24

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If $p$ is prime and $p>3$ and $k,l,m,n,p\in\mathbb N$ and $p^k+p^l+p^m=n^2$, prove that $8\mid p+1$.

Published on 17 Apr 2026 - 10:54

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Coefficients in expansion of $(\sqrt[3]{2} - 1)^m$

Published on 16 Apr 2026 - 12:22

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$(1+1/x)(1+1/y)(1+1/z) = 3$ Find all possible integer values of $x$, $y$, $z$ given all of them are positive integers.

Published on 16 Apr 2026 - 14:17

300

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Looking for proof of no solution to 4-variable quadratic diophantine equation

Published on 11 Apr 2026 - 3:02

276

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Solve in $\mathbb Z$ the equation: $x^5 +15xy + y^5=1$

Published on 14 Apr 2026 - 20:07

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Find all integer solutions: $x^4+x^3+x^2+x=y^2$

Published on 17 Apr 2026 - 12:24

315

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Stuck solving an equation using the floor operator.

Published on 09 Apr 2026 - 14:37

230

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A partition of tenth powers into ten parts with equal sums

Published on 13 Apr 2026 - 11:28

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Subsets of all Diophantine's sets

Published on 14 Apr 2026 - 23:25

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Solve $7x^3+2=y^3$ over integers

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Diophantine quartic equation in four variables

Published on 25 Mar 2026 - 18:58

231

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Inequality with four positive integers looking for upper bound

Published on 14 Apr 2026 - 4:33

List Question

Solving equations of type $x^{1/n}=\log_{n} x$

Proof that $x^2 - 2y^2 = -1$ has a recurring solution for $x$

Diophantine Equation in $\mathbb{Z}$

If $p$ is prime and $p>3$ and $k,l,m,n,p\in\mathbb N$ and $p^k+p^l+p^m=n^2$, prove that $8\mid p+1$.

Coefficients in expansion of $(\sqrt[3]{2} - 1)^m$

$(1+1/x)(1+1/y)(1+1/z) = 3$ Find all possible integer values of $x$, $y$, $z$ given all of them are positive integers.

Looking for proof of no solution to 4-variable quadratic diophantine equation

Solve in $\mathbb Z$ the equation: $x^5 +15xy + y^5=1$

Find all integer solutions: $x^4+x^3+x^2+x=y^2$

Stuck solving an equation using the floor operator.

A partition of tenth powers into ten parts with equal sums

Subsets of all Diophantine's sets

Solve $7x^3+2=y^3$ over integers

Diophantine quartic equation in four variables

Inequality with four positive integers looking for upper bound

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