List questions from diophantine-equations

Published on 16 Jul 2015 - 18:03

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How can $p^{q+1}+q^{p+1}$ be a perfect square?

Published on 17 Jul 2015 - 17:30

439

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Prove quadratic diophantine has no solutions?

Published on 18 Jul 2015 - 12:29

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Integer solutions of a cubic equation

Published on 28 Mar 2026 - 20:03

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Exponential diophantine equation: $2p^2-6p+7=3^n$.

Published on 20 Jul 2015 - 16:57

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How do I show that we can't write $N=114^n-1$ as sum of $3$ squares for all natural number $n>2$?

Published on 30 Mar 2026 - 0:22

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prove if $xyk \neq 0$, then: $x^3=3(k+xy)(k-xy-y^3)$ has no integral solutions.

Published on 21 Jul 2015 - 15:26

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Diophantine equation - Special form (quadratic)

Published on 22 Jul 2015 - 9:24

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Solution of a quadratic diophantine equation

Published on 31 Mar 2026 - 23:12

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A tricky diophantine equation with factorials

Published on 03 Apr 2026 - 14:23

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Diophantine sets

Published on 24 Jul 2015 - 20:40

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On Catalan's complete solution to the equation $T^2=U^2+V^2+W^2$

Published on 28 Mar 2026 - 14:07

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Find more integral points on a hyperbola

Published on 25 Jul 2015 - 20:26

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Nonnegative Integer solutions of $x+y-xy=0$

Published on 26 Jul 2015 - 2:21

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Generalization of Erdos-Selfridge

Published on 26 Jul 2015 - 8:25

List Question

Can I solve for all integer solutions of this diophantine equation?

How can $p^{q+1}+q^{p+1}$ be a perfect square?

Prove quadratic diophantine has no solutions?

Integer solutions of a cubic equation

Exponential diophantine equation: $2p^2-6p+7=3^n$.

How do I show that we can't write $N=114^n-1$ as sum of $3$ squares for all natural number $n>2$?

prove if $xyk \neq 0$, then: $x^3=3(k+xy)(k-xy-y^3)$ has no integral solutions.

Diophantine equation - Special form (quadratic)

Solution of a quadratic diophantine equation

A tricky diophantine equation with factorials

Diophantine sets

On Catalan's complete solution to the equation $T^2=U^2+V^2+W^2$

Find more integral points on a hyperbola

Nonnegative Integer solutions of $x+y-xy=0$

Generalization of Erdos-Selfridge

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