List questions from diophantine-equations

Published on 15 Apr 2026 - 16:29

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For solving a Pell's equation How many iterations should I run before confirming no solution exists.

Published on 14 Apr 2026 - 14:48

80

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A subcase of Last Fermat's Theorem

Published on 11 Apr 2026 - 7:20

47

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Forming and soving a Diophantine equation

Published on 10 Apr 2026 - 20:32

36

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Solving a diophantine equation x²+y²=2z²

Published on 14 Apr 2026 - 21:39

329

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Are there any perfect squares of the form $\underbrace{88\cdots8}_{n\text{ times}}1$ (in decimal, at least two $8$'s)?

Published on 16 Apr 2026 - 11:57

75

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How to solve diophantine equation $2a(a+d)=(c-d)(c+d)$

Published on 15 Apr 2026 - 8:06

275

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Prove that there are no integer solutions to: $x^4+6x^2+1=8y^4$

Published on 16 Apr 2026 - 4:46

65

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On the integer solutions of $aX^2+bY^2=cZ^2+q$

Published on 13 Apr 2026 - 18:54

151

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determine if the equation $x^n+y^n+z^n+w^n=u^{n+1}$ has infinitely many solutions in distinct integers

Published on 14 Apr 2026 - 20:33

196

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solve in positive integers the equation $2x^2+x = y+3y^2.$

Published on 14 Apr 2026 - 8:37

62

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Is $\exists x,\ a_1, ... a_{n}$ $\in \mathbf{N}\ {\gt 0}$ such that $x^{n} = \sum_{i = 1}^{n} a_{i}^n$ true for any positive integer $n$?

Published on 17 Apr 2026 - 15:42

35

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What is $N$ such that the $S$ set becomes non-coupled?

Published on 12 Apr 2026 - 9:56

86

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Dirichlet's composition of a binary quadratic form multiple times: $f \circ f \circ f$.

Published on 16 Apr 2026 - 1:48

110

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Rational points on the the reduction mod $p$ of $X_0(N)$

Published on 16 Apr 2026 - 15:22

List Question

Integer solutions of the cubic equation $x^3-a^2bx-1-2ab=0$

For solving a Pell's equation How many iterations should I run before confirming no solution exists.

A subcase of Last Fermat's Theorem

Forming and soving a Diophantine equation

Solving a diophantine equation x²+y²=2z²

Are there any perfect squares of the form $\underbrace{88\cdots8}_{n\text{ times}}1$ (in decimal, at least two $8$'s)?

How to solve diophantine equation $2a(a+d)=(c-d)(c+d)$

Prove that there are no integer solutions to: $x^4+6x^2+1=8y^4$

On the integer solutions of $aX^2+bY^2=cZ^2+q$

determine if the equation $x^n+y^n+z^n+w^n=u^{n+1}$ has infinitely many solutions in distinct integers

solve in positive integers the equation $2x^2+x = y+3y^2.$

Is $\exists x,\ a_1, ... a_{n}$ $\in \mathbf{N}\ {\gt 0}$ such that $x^{n} = \sum_{i = 1}^{n} a_{i}^n$ true for any positive integer $n$?

What is $N$ such that the $S$ set becomes non-coupled?

Dirichlet's composition of a binary quadratic form multiple times: $f \circ f \circ f$.

Rational points on the the reduction mod $p$ of $X_0(N)$

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