List questions from diophantine-equations

Published on 17 Apr 2026 - 8:19

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How to obtain a number from a given interval?

Published on 08 Apr 2026 - 17:57

155

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Help with a specific Diophantine Equation

Published on 11 Apr 2026 - 18:24

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How many solutions are there to $x+y+z=14$ where $x,y,z$ are all non-negative integers, $x \leq 5, y \leq 6, z \leq 7$?

Published on 13 Apr 2026 - 20:37

550

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Statistics for $N$ in sum of cubes $a^3+b^3+c^3 = N^3$?

Published on 14 Apr 2026 - 16:15

208

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How can find all solution of $x^2(y-1)+y^2(x-1)=1$ such that $x,y \in \mathbb{Z}$?

Published on 15 Apr 2026 - 2:55

842

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Show that the modified Pell equation $x^2 - 7y^2 = -1$ has no solutions in integers $x,y$.

Published on 15 Apr 2026 - 7:27

465

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Linear Diophantine Equation vs linear congruence

Published on 11 Apr 2026 - 14:57

120

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Proving that certain non-linear diophantine equations have infinitely many (or no) solutions

Published on 14 Apr 2026 - 20:34

205

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Solve $b^2 = 8b - 16a$ for $a,b\in\Bbb Z$

Published on 16 Apr 2026 - 10:34

57

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how can prove that the diophantine equation has at most three solutions

Published on 11 Apr 2026 - 14:08

254

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Do there exist positive integers $a, b, c$ such that $1/a+1/b+1/c=47/48$?

Published on 16 Apr 2026 - 2:09

68

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Question about proof correctness of a theorem related to FLT

Published on 12 Apr 2026 - 6:56

169

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Solving $x+y+z=x^3+y^3+z^3=3$.

Published on 17 Apr 2026 - 15:19

List Question

Solution to the following diophantine equation

How to obtain a number from a given interval?

Help with a specific Diophantine Equation

How many solutions are there to $x+y+z=14$ where $x,y,z$ are all non-negative integers, $x \leq 5, y \leq 6, z \leq 7$?

Statistics for $N$ in sum of cubes $a^3+b^3+c^3 = N^3$?

More practice on Diophantine problems

How can find all solution of $x^2(y-1)+y^2(x-1)=1$ such that $x,y \in \mathbb{Z}$?

Show that the modified Pell equation $x^2 - 7y^2 = -1$ has no solutions in integers $x,y$.

Linear Diophantine Equation vs linear congruence

Proving that certain non-linear diophantine equations have infinitely many (or no) solutions

Solve $b^2 = 8b - 16a$ for $a,b\in\Bbb Z$

how can prove that the diophantine equation has at most three solutions

Do there exist positive integers $a, b, c$ such that $1/a+1/b+1/c=47/48$?

Question about proof correctness of a theorem related to FLT

Solving $x+y+z=x^3+y^3+z^3=3$.

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