List questions from diophantine-equations

Published on 26 Mar 2026 - 1:10

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Show that there are no integers $x, y$ such that $x^{2015} - y^{2016} = 2115$

Published on 13 Sep 2015 - 6:56

54

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Diophantine-like equations

Published on 07 Apr 2026 - 0:36

3.4k

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Find All $x$ values where $f(x)$ is Perfect Square

Published on 01 Apr 2026 - 2:04

410

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Find all natural solutions for $\binom mn=1984$

Published on 14 Sep 2015 - 18:37

123

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How to solve $937=x^2+24x+24y+y^2$ where x and y are integers.

Published on 14 Sep 2015 - 20:46

288

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Solutions for the equation $ \tbinom n3=m^2$

Published on 15 Sep 2015 - 7:53

9.6k

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Solve $y^3=x^{3}+8x^{2}-6x+8$ for positive integers $x, y $

Published on 15 Sep 2015 - 12:10

411

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Do there exist any Pythagorean triples that share two out of three numbers?

Published on 27 Mar 2026 - 22:01

557

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Find all natural numbers $n > 1$ and $m > 1$ such that $1!3!5!\cdots(2n - 1)! = m!$

Published on 03 Apr 2026 - 19:40

3.4k

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Solving the nonlinear Diophantine equation $x^2-3x=2y^2$

Published on 17 Sep 2015 - 13:39

97

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non-trivial integer solutions of an equation coming from permutations.

Published on 18 Sep 2015 - 15:10

659

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How to solve simultaneous modulus / diophantine equations

Published on 19 Sep 2015 - 13:55

218

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Proof that there exists an integer $k$ such that $(x+y+z)^5-x^5-y^5-z^5=5(x+y)(x+z)(y+z)k$

Published on 02 Apr 2026 - 14:49

37

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Predictability of consecutive powers

Published on 08 Apr 2026 - 18:38

List Question

Find all the solutions of $6a+9b+20c=-2$

Show that there are no integers $x, y$ such that $x^{2015} - y^{2016} = 2115$

Diophantine-like equations

Find All $x$ values where $f(x)$ is Perfect Square

Find all natural solutions for $\binom mn=1984$

How to solve $937=x^2+24x+24y+y^2$ where x and y are integers.

Solutions for the equation $ \tbinom n3=m^2$

Solve $y^3=x^{3}+8x^{2}-6x+8$ for positive integers $x, y $

Do there exist any Pythagorean triples that share two out of three numbers?

Find all natural numbers $n > 1$ and $m > 1$ such that $1!3!5!\cdots(2n - 1)! = m!$

Solving the nonlinear Diophantine equation $x^2-3x=2y^2$

non-trivial integer solutions of an equation coming from permutations.

How to solve simultaneous modulus / diophantine equations

Proof that there exists an integer $k$ such that $(x+y+z)^5-x^5-y^5-z^5=5(x+y)(x+z)(y+z)k$

Predictability of consecutive powers

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