List questions from diophantine-equations

Published on 13 Apr 2026 - 2:59

82

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Find all natural roots of: $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=d$ given that: $a<b<c$

Published on 17 Jun 2016 - 15:23

540

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solve $x^y-y^x=xy^2-19,$ $x,y\in\mathbb{Z}$

Published on 17 Jun 2016 - 16:11

169

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How many integer solutions are there of the equation $|x_{1}|+|x_{2}|+\cdots +|x_{k}|=n$?

Published on 17 Jun 2016 - 16:53

84

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Given some arbitrary roots of a polynomial p(x,y,z,...) with integer coefficients, is it possible to tell if p has a root in the Gaussian integers?

Published on 12 Apr 2026 - 21:40

157

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Integer solutions to $210y^2=(x)(x+1)(2x+1)$

Published on 18 Jun 2016 - 2:59

293

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Find all natural roots of $\sqrt{x}+\sqrt{y}=\sqrt{1376}$ given that $x\leq y$

Published on 18 Jun 2016 - 16:10

216

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Number of integer solutions (ordered and unordered)

Published on 12 Apr 2026 - 4:17

174

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Diophantine relations using an equation with polynomials of degree at most 4

Published on 08 Apr 2026 - 12:42

72

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Existence of positive integer solution of a equation

Published on 09 Apr 2026 - 16:08

1.5k

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Check if a positive solution exist of a linear equation with two variables?

Published on 11 Apr 2026 - 7:44

242

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Integer squares of the form $x^4+x^3+x^2+x+1$

Published on 22 Jun 2016 - 16:40

73

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Finding solutions in modulo

Published on 11 Apr 2026 - 18:09

1.6k

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Integer Solutions to an Ellipse

Published on 23 Jun 2016 - 10:40

274

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Solve in integers the equation $\sqrt{x^3-3xy^2+2y^3}=\sqrt[3]{13x+8}$

Published on 23 Jun 2016 - 13:00

List Question

Diophantine equation, 3 variables

Find all natural roots of: $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=d$ given that: $a<b<c$

solve $x^y-y^x=xy^2-19,$ $x,y\in\mathbb{Z}$

How many integer solutions are there of the equation $|x_{1}|+|x_{2}|+\cdots +|x_{k}|=n$?

Given some arbitrary roots of a polynomial p(x,y,z,...) with integer coefficients, is it possible to tell if p has a root in the Gaussian integers?

Integer solutions to $210y^2=(x)(x+1)(2x+1)$

Find all natural roots of $\sqrt{x}+\sqrt{y}=\sqrt{1376}$ given that $x\leq y$

Number of integer solutions (ordered and unordered)

Diophantine relations using an equation with polynomials of degree at most 4

Existence of positive integer solution of a equation

Check if a positive solution exist of a linear equation with two variables?

Integer squares of the form $x^4+x^3+x^2+x+1$

Finding solutions in modulo

Integer Solutions to an Ellipse

Solve in integers the equation $\sqrt{x^3-3xy^2+2y^3}=\sqrt[3]{13x+8}$

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