List questions from diophantine-equations

Published on 27 Mar 2026 - 10:43

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Where am I going wrong in my linear Diophantine solution?

Published on 29 Jan 2015 - 21:23

316

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To solve the system of Diophantine equations.

Published on 30 Jan 2015 - 6:21

366

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What are equivalent parametric equations?

Published on 26 Mar 2026 - 10:57

43

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How do I solve $3(2^{x+2}-2^x) = 4a_1a_2a_3$

Published on 30 Jan 2015 - 13:13

2k

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When is $2^n -7$ a perfect square?

Published on 31 Mar 2026 - 12:12

272

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For which $a>0$ does the equation $x^2+y^2+z^2=a$ have a solution in $\mathbb{Q}_2$?

Published on 31 Mar 2026 - 15:23

36

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Parametrising the set of solutions of a simple diophantine equation.

Published on 31 Jan 2015 - 9:27

1.5k

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Parametrization of solutions of diophantine equation

Published on 31 Jan 2015 - 13:12

1.6k

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Prove that the equation $a^2+b^2=c^2+3$ has infinitely many integer solutions $(a,b,c)$.

Published on 31 Jan 2015 - 16:30

1.1k

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Find all integers $x$ such that $x^2+3x+24$ is a perfect square.

Published on 01 Feb 2015 - 6:46

331

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Applying Hensel's lemma

Published on 01 Feb 2015 - 21:28

49

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Pythagoras triples

Published on 02 Feb 2015 - 0:26

953

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The Diophantine equation $ax+by = b+c$ is solvable in integer $x , y$ iff $ax+by =c$ is solvable.

Published on 03 Feb 2015 - 15:46

206

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An equation $p^a=q^b+r^c$ for powers of primes

Published on 04 Feb 2015 - 0:23

List Question

Pythagorean Quadruples Problem

Where am I going wrong in my linear Diophantine solution?

To solve the system of Diophantine equations.

What are equivalent parametric equations?

How do I solve $3(2^{x+2}-2^x) = 4a_1a_2a_3$

When is $2^n -7$ a perfect square?

For which $a>0$ does the equation $x^2+y^2+z^2=a$ have a solution in $\mathbb{Q}_2$?

Parametrising the set of solutions of a simple diophantine equation.

Parametrization of solutions of diophantine equation

Prove that the equation $a^2+b^2=c^2+3$ has infinitely many integer solutions $(a,b,c)$.

Find all integers $x$ such that $x^2+3x+24$ is a perfect square.

Applying Hensel's lemma

Pythagoras triples

The Diophantine equation $ax+by = b+c$ is solvable in integer $x , y$ iff $ax+by =c$ is solvable.

An equation $p^a=q^b+r^c$ for powers of primes

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