List questions from diophantine-equations

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Generalized Pell's Equation: Why is 4 special?

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How to solve inhomogeneous quadratic forms in integers?

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$x^2 + 2 = 5y$ ($x$ and $y$ positive integers)

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$x^y = y^x$ for integers $x$ and $y$

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Factoring Multiple Variable Polynomials

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English translation of Voronoy paper on generalized Pell's equation

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Factoring a trivariate polynomial

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Can $n!$ be a perfect square when $n$ is an integer greater than $1$?

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Given a number of $3\!\text{ in}$ squares and $2\!\text{ in}$ squares, how many of each are needed to get a total area of $35 \! \text{ in}^2$?

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What are Diophantine equations REALLY?

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Does there exist $X$, $Y \in\mathbb{Q}-\mathbb{Z}$ such that $X^2+2Y^2=1$?

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Third degree Diophantine equation

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Diophantine equation and Turing Machine

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Examples of finding algebraic solutions to Diophantine equations.

Published on 10 Apr 2026 - 15:51

List Question

Markov-Hurwitz equation

Generalized Pell's Equation: Why is 4 special?

How to solve inhomogeneous quadratic forms in integers?

$x^2 + 2 = 5y$ ($x$ and $y$ positive integers)

$x^y = y^x$ for integers $x$ and $y$

Factoring Multiple Variable Polynomials

English translation of Voronoy paper on generalized Pell's equation

Factoring a trivariate polynomial

Can $n!$ be a perfect square when $n$ is an integer greater than $1$?

Given a number of $3\!\text{ in}$ squares and $2\!\text{ in}$ squares, how many of each are needed to get a total area of $35 \! \text{ in}^2$?

What are Diophantine equations REALLY?

Does there exist $X$, $Y \in\mathbb{Q}-\mathbb{Z}$ such that $X^2+2Y^2=1$?

Third degree Diophantine equation

Diophantine equation and Turing Machine

Examples of finding algebraic solutions to Diophantine equations.

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