List questions from diophantine-equations

Published on 25 Aug 2016 - 12:52

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Bounding fundamental solution of the pell equation

Published on 26 Aug 2016 - 10:25

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Algorithm for solving system of integer polynomial equations

Published on 26 Aug 2016 - 15:59

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If $a,b,c$ are pairwise relatively prime integers, do there always exist coprime integers $x,y$ such that $ax+by=c$

Published on 26 Aug 2016 - 18:53

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Does this system of Diophantine equations have a solution?

Published on 27 Aug 2016 - 19:03

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Show that $a^3+b^5=7^{7^{7^7}}$ has no solutions with $a,b\in \mathbb Z.$

Published on 28 Aug 2016 - 20:45

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General solution to Diophantine equation in 3 variables

Published on 26 Mar 2026 - 16:23

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Upper bound of the number of solutions of a diophantine equation.

Published on 30 Aug 2016 - 3:54

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Diophantine equation: $x^2 + 4y^2- 2xy -2x -4y -8 = 0$

Published on 30 Aug 2016 - 16:40

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Quadratic Diophantine Equation with Rational Coefficients

Published on 31 Aug 2016 - 1:40

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Why are only $n-1$ convergents solution to Pell's Equations

Published on 01 Sep 2016 - 5:20

112

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Is $(7,4)$ the only non-trivial integer solution for $(n)_k=n!$?

Published on 26 Mar 2026 - 4:50

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Is this fraction a natural number only in case ${n_1}^2+{n_2}^2+{n_3}^2={m_1}^2+{m_2}^2+{m_3}^2$?

Published on 27 Mar 2026 - 19:10

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Infinitude of solutions to Bézout's equation

Published on 30 Mar 2026 - 0:21

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Lutz-Nagell theorem proof variant

Published on 31 Mar 2026 - 22:50

List Question

How many solutions in positive integers has equation $x_1 + x_2 + ... + x_n = n^2?$

Bounding fundamental solution of the pell equation

Algorithm for solving system of integer polynomial equations

If $a,b,c$ are pairwise relatively prime integers, do there always exist coprime integers $x,y$ such that $ax+by=c$

Does this system of Diophantine equations have a solution?

Show that $a^3+b^5=7^{7^{7^7}}$ has no solutions with $a,b\in \mathbb Z.$

General solution to Diophantine equation in 3 variables

Upper bound of the number of solutions of a diophantine equation.

Diophantine equation: $x^2 + 4y^2- 2xy -2x -4y -8 = 0$

Quadratic Diophantine Equation with Rational Coefficients

Why are only $n-1$ convergents solution to Pell's Equations

Is $(7,4)$ the only non-trivial integer solution for $(n)_k=n!$?

Is this fraction a natural number only in case ${n_1}^2+{n_2}^2+{n_3}^2={m_1}^2+{m_2}^2+{m_3}^2$?

Infinitude of solutions to Bézout's equation

Lutz-Nagell theorem proof variant

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