List questions from diophantine-equations

Published on 28 Dec 2015 - 1:46

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Solve this equation $xy-\frac{(x+y)^2}{n}=n-4$

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Birational Equivalence of Diophantine Equations and Elliptic Curves

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A "flowchart" for handling Diophantine equations

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$3ab + a^3 - 2b^3 - 4a + 5b - 7 = 0$

Published on 29 Dec 2015 - 17:15

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Solve $x^n+y^n=2015$

Published on 29 Dec 2015 - 19:56

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How to solve these system of linear equations?

Published on 30 Dec 2015 - 5:27

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Diophantine Equation with 2017th powers: $a^{2017}+a-2=(a-1)(b^{11})$

Published on 31 Dec 2015 - 3:30

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Problems & Solutions on Fermat Theorem of Multiple of 3

Published on 09 Apr 2026 - 15:15

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When is sum of squares a perfect square?

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How to solve quadratic Diophantine equation with 3 variables

Published on 11 Apr 2026 - 2:30

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Can we find $x_{1}, x_{2}, ..., x_{n}$?

Published on 03 Jan 2016 - 13:59

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Solutions to Diophantine Equations

Published on 09 Apr 2026 - 1:17

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Finding the common integer solutions to $a + b = c \cdot d$ and $a \cdot b = c + d$

Published on 05 Jan 2016 - 1:22

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An interesting equation in natural numbers

Published on 08 Apr 2026 - 19:06

List Question

Prove that ${x^7-1 \over x-1}=y^5-1$ has no integer solutions

Solve this equation $xy-\frac{(x+y)^2}{n}=n-4$

Birational Equivalence of Diophantine Equations and Elliptic Curves

A "flowchart" for handling Diophantine equations

$3ab + a^3 - 2b^3 - 4a + 5b - 7 = 0$

Solve $x^n+y^n=2015$

How to solve these system of linear equations?

Diophantine Equation with 2017th powers: $a^{2017}+a-2=(a-1)(b^{11})$

Problems & Solutions on Fermat Theorem of Multiple of 3

When is sum of squares a perfect square?

How to solve quadratic Diophantine equation with 3 variables

Can we find $x_{1}, x_{2}, ..., x_{n}$?

Solutions to Diophantine Equations

Finding the common integer solutions to $a + b = c \cdot d$ and $a \cdot b = c + d$

An interesting equation in natural numbers

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