List questions from diophantine-equations

Published on 25 Mar 2026 - 22:05

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Diophantine Equations with Factor Exponents

Published on 27 Mar 2015 - 18:13

373

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How to find all positive integers $m,n$ such that $3^m+4^n$ is a perfect square?

Published on 31 Mar 2026 - 17:50

112

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$a,b$ are integers , both greater than $1$ , such that $(a^n-1)(b^n-1)$ is a perfect square for every positive integer $n$ , then $a=b$ ?

Published on 28 Mar 2015 - 10:50

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How do you solve the Problem below?

Published on 28 Mar 2015 - 18:44

322

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Diophantine system of two equations with four variables

Published on 29 Mar 2015 - 15:33

561

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Question about the chakravala method on solving Pell's equation

Published on 29 Mar 2015 - 17:07

119

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A question on the Pell equation $x^2-pqy^2 = -1$, with prime $p,q$.

Published on 30 Mar 2015 - 4:08

129

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An integer sequence with integer $k$ norms

Published on 30 Mar 2015 - 7:40

488

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Solve $x^3=y^2-y+1$ in positive integers.

Published on 31 Mar 2015 - 7:40

421

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On a theorem of Kronecker!

Published on 26 Mar 2026 - 13:44

452

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Diophantine linear Equation Gaussian Integers

Published on 27 Mar 2026 - 18:35

130

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A bivariate quadratic diophantine equation

Published on 01 Apr 2015 - 3:47

106

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For a given positive integer $n>1$ , how to find all positive integers $s,t$ such that $n^s-(n-1)^t=1$ ?

Published on 01 Apr 2015 - 14:20

565

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Partition problem for consecutive $k$th powers with equal sums (another family)

Published on 29 Mar 2026 - 2:52

List Question

How many pairs of positive integers $(n, m)$ are there such that $2n+3m=2015$?

Diophantine Equations with Factor Exponents

How to find all positive integers $m,n$ such that $3^m+4^n$ is a perfect square?

$a,b$ are integers , both greater than $1$ , such that $(a^n-1)(b^n-1)$ is a perfect square for every positive integer $n$ , then $a=b$ ?

How do you solve the Problem below?

Diophantine system of two equations with four variables

Question about the chakravala method on solving Pell's equation

A question on the Pell equation $x^2-pqy^2 = -1$, with prime $p,q$.

An integer sequence with integer $k$ norms

Solve $x^3=y^2-y+1$ in positive integers.

On a theorem of Kronecker!

Diophantine linear Equation Gaussian Integers

A bivariate quadratic diophantine equation

For a given positive integer $n>1$ , how to find all positive integers $s,t$ such that $n^s-(n-1)^t=1$ ?

Partition problem for consecutive $k$th powers with equal sums (another family)

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