List questions from diophantine-equations

Published on 21 Apr 2013 - 16:58

83

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Sums that are pythagorean and normal

Published on 12 Apr 2026 - 18:35

314

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Find all integer solutions of $35x^{31} + 33x^{25} + 19x^{21} \equiv 1 \pmod{ 55}$

Published on 22 Apr 2013 - 4:08

61

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Wrong answer on elementary diophantine equation - why?

Published on 12 Apr 2026 - 14:34

2.9k

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Integer solutions of $n^3 = p^2 - p - 1$

Published on 23 Apr 2013 - 15:05

264

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On Selmer's curve

Published on 23 Apr 2013 - 17:59

170

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Simple looking diophantine equation...

Published on 12 Apr 2026 - 16:25

204

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How to solve for solutions to this diophantine?

Published on 11 Apr 2026 - 12:35

18.8k

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Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?

Published on 27 Apr 2013 - 20:47

368

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Linear Diophantine Equations: Integer Solutions $x,y$ exist for $ax+by=c$, but how do I find them by hand?

Published on 11 Apr 2026 - 22:48

262

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How to find all integers $a,b > 1$ satisfying $b \mid a^2+1$ and $a^2 \mid b^3+1$?

Published on 29 Apr 2013 - 13:17

668

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(USAJMO)Find the integer solutions:$ab^5+3=x^3,a^5b+3=y^3$

Published on 01 May 2013 - 2:59

2.1k

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Way to show $x^n + y^n = z^n$ factorises as $(x + y)(x + \zeta y) \cdots (x + \zeta^{n-1}y) = z^n$

Published on 29 Mar 2026 - 20:56

1.2k

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Solve: $x^2-py^2=q$

Published on 04 May 2013 - 14:00

3k

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Find all integer solutions to $x^2+4=y^3$.

Published on 06 Apr 2026 - 7:05

List Question

Solve the equation $x^4+y^4=d*z^2$

Sums that are pythagorean and normal

Find all integer solutions of $35x^{31} + 33x^{25} + 19x^{21} \equiv 1 \pmod{ 55}$

Wrong answer on elementary diophantine equation - why?

Integer solutions of $n^3 = p^2 - p - 1$

On Selmer's curve

Simple looking diophantine equation...

How to solve for solutions to this diophantine?

Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?

Linear Diophantine Equations: Integer Solutions $x,y$ exist for $ax+by=c$, but how do I find them by hand?

How to find all integers $a,b > 1$ satisfying $b \mid a^2+1$ and $a^2 \mid b^3+1$?

(USAJMO)Find the integer solutions:$ab^5+3=x^3,a^5b+3=y^3$

Way to show $x^n + y^n = z^n$ factorises as $(x + y)(x + \zeta y) \cdots (x + \zeta^{n-1}y) = z^n$

Solve: $x^2-py^2=q$

Find all integer solutions to $x^2+4=y^3$.

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