List questions from diophantine-equations

Published on 11 Apr 2026 - 12:15

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Proving that $\frac {x}{ y} + \frac {y}{z} + \frac {z}{x} = 2$ has no natural solutions

Published on 14 Apr 2026 - 13:47

139

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Prime numbers in equation

Published on 11 Apr 2026 - 5:57

2k

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Generating Pythagorean triples for $a^2+b^2=5c^2$?

Published on 11 Apr 2026 - 18:18

1.6k

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How to solve $ x^2+4x+2 \equiv 0 \pmod{49}$

Published on 16 Apr 2026 - 13:54

528

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On expressing a square as a sum of two cubes

Published on 18 Apr 2026 - 22:37

1.2k

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Applying the Thue-Siegel Theorem

Published on 10 Apr 2026 - 3:42

483

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Ordered triplet query

Published on 13 Apr 2026 - 14:02

431

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Find three integers $a,\, b,\,$ and $c$ such that $\sqrt{a^2+b^2}$, $\sqrt{a^2+c^2}$, $\sqrt{c^2+b^2}$, and $\sqrt{a^2+b^2+c^2}$ are all integers.

Published on 16 Apr 2026 - 2:43

1.8k

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Finding a Pythagorean triple $a^2 + b^2 = c^2$ with $a+b+c=40$

Published on 15 Apr 2026 - 20:26

367

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Checking if a number if expressible as $x^2+y^4$

Published on 14 Apr 2026 - 20:13

1.8k

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Finding the sum of all solutions

Published on 09 Apr 2026 - 11:27

216

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Diophantine equations special problem

Published on 13 Apr 2026 - 12:43

262

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Does this equation have integer solutions

Published on 09 Apr 2026 - 17:06

402

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Solutions of Diophantine equations in Natural numbers

Published on 09 Apr 2026 - 14:34

List Question

Trigonometric equation mistake?

Proving that $\frac {x}{ y} + \frac {y}{z} + \frac {z}{x} = 2$ has no natural solutions

Prime numbers in equation

Generating Pythagorean triples for $a^2+b^2=5c^2$?

How to solve $ x^2+4x+2 \equiv 0 \pmod{49}$

On expressing a square as a sum of two cubes

Applying the Thue-Siegel Theorem

Ordered triplet query

Find three integers $a,\, b,\,$ and $c$ such that $\sqrt{a^2+b^2}$, $\sqrt{a^2+c^2}$, $\sqrt{c^2+b^2}$, and $\sqrt{a^2+b^2+c^2}$ are all integers.

Finding a Pythagorean triple $a^2 + b^2 = c^2$ with $a+b+c=40$

Checking if a number if expressible as $x^2+y^4$

Finding the sum of all solutions

Diophantine equations special problem

Does this equation have integer solutions

Solutions of Diophantine equations in Natural numbers

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