List questions from diophantine-equations

Published on 24 Feb 2019 - 2:35

107

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Solutions to $\cos(\pi x) + \cos(\pi y) + \cos(\pi z) = 0$ for rational $x$, $y$, $z$ with $0 \leq x \leq \frac{1}{2} \leq y \leq z \leq 1$

Published on 25 Feb 2019 - 2:59

155

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Solving Diophantine equation without brute force

Published on 25 Feb 2019 - 10:11

128

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Diophantine equation: $x^2 - xy + ay^2 = b$

Published on 28 Feb 2019 - 5:23

654

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Determine all positive integer solutions for $\frac 1x + \frac 1y + \frac 1z + \frac 1{xy} + \frac1{yz} + \frac 1{xz} + \frac 1{xyz} = 1$

Published on 01 Mar 2019 - 10:14

247

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There exists $i, j \in \mathbb{N}$ such that $n=3i+5j$ for $n\ge 8$

Published on 02 Mar 2019 - 18:23

143

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a method/algorithm to solve a nonlinear Diophantine equation like this

Published on 03 Mar 2019 - 23:04

392

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Find all positive integers $a, b, c$ such that $21^a+ 28^b= 35^c$ .

Published on 25 Mar 2026 - 3:20

43

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Bounds on representations via (non-positive) binary quadratic forms

Published on 26 Mar 2026 - 1:07

702

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Finding integer solution to a quadratic equation in two unknowns

Published on 27 Mar 2026 - 19:29

72

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Parametrization of pythagorean-like equation

Published on 08 Mar 2019 - 17:49

217

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When does the recurrence $a_k = 3a_{k - 1} + 1$ reach a power of 2?

Published on 25 Mar 2026 - 6:05

805

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$x^5 + x^4 +1$ to be a perfect square

Published on 12 Mar 2019 - 19:53

74

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Estimate integer solutions to a set of linear or diophantine equations (underdetermined)

Published on 25 Mar 2026 - 6:11

203

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Integer solutions to the diophantine equation $a^3+b^3+c^3=6$

Published on 26 Mar 2026 - 6:27

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Counting kth power residues mod $p^a$

Solutions to $\cos(\pi x) + \cos(\pi y) + \cos(\pi z) = 0$ for rational $x$, $y$, $z$ with $0 \leq x \leq \frac{1}{2} \leq y \leq z \leq 1$

Solving Diophantine equation without brute force

Diophantine equation: $x^2 - xy + ay^2 = b$

Determine all positive integer solutions for $\frac 1x + \frac 1y + \frac 1z + \frac 1{xy} + \frac1{yz} + \frac 1{xz} + \frac 1{xyz} = 1$

There exists $i, j \in \mathbb{N}$ such that $n=3i+5j$ for $n\ge 8$

a method/algorithm to solve a nonlinear Diophantine equation like this

Find all positive integers $a, b, c$ such that $21^a+ 28^b= 35^c$ .

Bounds on representations via (non-positive) binary quadratic forms

Finding integer solution to a quadratic equation in two unknowns

Parametrization of pythagorean-like equation

When does the recurrence $a_k = 3a_{k - 1} + 1$ reach a power of 2?

$x^5 + x^4 +1$ to be a perfect square

Estimate integer solutions to a set of linear or diophantine equations (underdetermined)

Integer solutions to the diophantine equation $a^3+b^3+c^3=6$

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