List questions from diophantine-equations

Published on 01 Nov 2014 - 22:47

425

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Does the equation has a non-trivial solution?

Published on 01 Nov 2014 - 22:57

33

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Why do we conclude that $(a,b)=1$, having found that $(a',b'=1)$?

Published on 02 Nov 2014 - 19:57

169

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What are the integer solutions of the system $a^2+b^2=c^2$, $a^3+b^3+c^3=d^3$?

Published on 02 Nov 2014 - 23:10

354

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Possible values of infinitely nested square root $n= \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x}......}}}$

Published on 29 Mar 2026 - 3:22

55

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Diophantine Equation 1

Published on 04 Nov 2014 - 13:08

1.4k

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At which p-adic fields does the equation have no solution?

Published on 28 Mar 2026 - 0:47

181

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Diophantine $7^a+2=3^b$

Published on 05 Nov 2014 - 18:22

240

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An annoying Pell-like equation related to a binary quadratic form problem

Published on 27 Mar 2026 - 14:45

60

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Does this "distribution of factors" cover all possibilities?

Published on 06 Nov 2014 - 21:40

501

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how do you solve $a^2+b^2+c^2=d^3$

Published on 07 Nov 2014 - 19:34

127

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Is there a simpler proof that $f(x,y,z) = 4x + 11y + 18z$ is surjective?

Published on 12 Nov 2014 - 15:29

366

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When does $x^3+y^3=kz^2$?

Published on 12 Nov 2014 - 18:25

89

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The Diophantine equation $ax+by = p^z$.

Published on 12 Nov 2014 - 19:07

1.3k

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Prove there are no non-trivial solution to $3x^2 - 5y^2 + 7z^2 = 0$

Published on 14 Nov 2014 - 1:37

List Question

find a parametric solutions for a special equation

Does the equation has a non-trivial solution?

Why do we conclude that $(a,b)=1$, having found that $(a',b'=1)$?

What are the integer solutions of the system $a^2+b^2=c^2$, $a^3+b^3+c^3=d^3$?

Possible values of infinitely nested square root $n= \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x}......}}}$

Diophantine Equation 1

At which p-adic fields does the equation have no solution?

Diophantine $7^a+2=3^b$

An annoying Pell-like equation related to a binary quadratic form problem

Does this "distribution of factors" cover all possibilities?

how do you solve $a^2+b^2+c^2=d^3$

Is there a simpler proof that $f(x,y,z) = 4x + 11y + 18z$ is surjective?

When does $x^3+y^3=kz^2$?

The Diophantine equation $ax+by = p^z$.

Prove there are no non-trivial solution to $3x^2 - 5y^2 + 7z^2 = 0$

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