List questions from diophantine-equations

Published on 09 Apr 2013 - 10:09

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How to prove that there exist infinitely many integer solutions to the equation $x^2-ny^2=1$ without Algebraic Number Theory

Published on 09 Apr 2013 - 20:54

168

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Solve : $ab(a+b)(a-b)=c^2-1$

Published on 06 Apr 2026 - 3:36

62

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Equation with matrix

Published on 10 Apr 2026 - 7:06

128

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Solve : $\frac{n}{2}(n+1)=2014+2k$.

Published on 12 Apr 2013 - 8:57

6.1k

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Number of integer solutions of $xy - 6 (x+y)=0$

Published on 04 Apr 2026 - 23:28

169

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Suppose $x$, $y$, and $z$ are integers that satisfy the system equations

Published on 16 Apr 2013 - 2:19

309

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Elementary Diophantine equation

Published on 16 Apr 2013 - 11:58

176

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Is there a squared matrix $A$ sized 2x2 that follows the next criteria?

Published on 12 Apr 2026 - 3:27

85

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Understanding Diophantine Equation Proof /w link

Published on 10 Apr 2026 - 18:45

607

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Linear diophantine equation solution existence

Published on 12 Apr 2026 - 21:42

221

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find all positive integers for a given diophantine equation involving 4 or 7 variables

Published on 19 Apr 2013 - 14:03

153

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No rational solutions of a system of equations

Published on 12 Apr 2026 - 7:29

172

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On the elliptic curve $x^4+y^4 =193z^2$

Published on 06 Apr 2026 - 5:16

15.8k

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Find all solutions: $x^2 + 2y^2 = z^2$

Published on 29 Mar 2026 - 2:34

List Question

Find all positive integers $a, b, c$ such that $1/a + 1/b + 1/c = 4/3999$

How to prove that there exist infinitely many integer solutions to the equation $x^2-ny^2=1$ without Algebraic Number Theory

Solve : $ab(a+b)(a-b)=c^2-1$

Equation with matrix

Solve : $\frac{n}{2}(n+1)=2014+2k$.

Number of integer solutions of $xy - 6 (x+y)=0$

Suppose $x$, $y$, and $z$ are integers that satisfy the system equations

Elementary Diophantine equation

Is there a squared matrix $A$ sized 2x2 that follows the next criteria?

Understanding Diophantine Equation Proof /w link

Linear diophantine equation solution existence

find all positive integers for a given diophantine equation involving 4 or 7 variables

No rational solutions of a system of equations

On the elliptic curve $x^4+y^4 =193z^2$

Find all solutions: $x^2 + 2y^2 = z^2$

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