List questions from diophantine-equations

Published on 26 Jun 2019 - 3:10

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Positive square rationals equidistant to 1

Published on 26 Jun 2019 - 22:58

468

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If $U, V, W$ and m are natural numbers such that $U^m + V^m = W^m$ , then $m$< max$( U , V ,W)$

Published on 25 Mar 2026 - 7:46

89

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How to find integer solutions of $x^2 + by = c$

Published on 26 Mar 2026 - 14:42

164

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Number of solution of three variable equation

Published on 27 Jun 2019 - 18:23

163

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Diophantine Equations of the form $ax^3+by^3+cz^3=dxyz$

Published on 29 Jun 2019 - 9:53

404

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For how many positive integers $m$ the number $m^3+5m^2+3$ is a perfect cube?

Published on 30 Jun 2019 - 13:36

166

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Parametric solution of $ \alpha x^2 +\beta y^2 = \gamma w^2+\delta z^2$ quadratic Diophantine equation

Published on 26 Mar 2026 - 0:53

84

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Is there a tetrahedral number that is also a perfect cube? How would I prove or disprove?

Published on 03 Jul 2019 - 21:16

509

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Remainder when 29 divides $3^{2002} + 7^{2002} + 2002$

Published on 04 Jul 2019 - 16:21

445

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All integer solutions to $x^2+y^2+z^2=2^{11}$?

Published on 27 Mar 2026 - 0:34

2.5k

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Prove that the diophantine equation $2x^2-5y^2=7$ has no integer solutions.

Published on 05 Jul 2019 - 1:57

399

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Conjecture: No positive integer can be written as $a^b+b^a$ in more than one way

Published on 26 Mar 2026 - 3:11

557

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Four squares such that the difference of any two is a square?

Published on 26 Mar 2026 - 4:31

138

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Solving equation with two unknown degrees

Published on 09 Jul 2019 - 13:01

List Question

$p^2 - 2 q^2 = 5039$ for primes $p, q$

Positive square rationals equidistant to 1

If $U, V, W$ and m are natural numbers such that $U^m + V^m = W^m$ , then $m$< max$( U , V ,W)$

How to find integer solutions of $x^2 + by = c$

Number of solution of three variable equation

Diophantine Equations of the form $ax^3+by^3+cz^3=dxyz$

For how many positive integers $m$ the number $m^3+5m^2+3$ is a perfect cube?

Parametric solution of $ \alpha x^2 +\beta y^2 = \gamma w^2+\delta z^2$ quadratic Diophantine equation

Is there a tetrahedral number that is also a perfect cube? How would I prove or disprove?

Remainder when 29 divides $3^{2002} + 7^{2002} + 2002$

All integer solutions to $x^2+y^2+z^2=2^{11}$?

Prove that the diophantine equation $2x^2-5y^2=7$ has no integer solutions.

Conjecture: No positive integer can be written as $a^b+b^a$ in more than one way

Four squares such that the difference of any two is a square?

Solving equation with two unknown degrees

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