List questions from diophantine-equations

Published on 29 Oct 2016 - 10:07

118

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Finding gcd(a,b) using Diophantine Equation?

Published on 26 Mar 2026 - 19:35

330

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How to split 59 in $\mathbb{Q}(\sqrt{13})$

Published on 01 Nov 2016 - 4:22

349

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A conjecture relate to Euler's sum of powers conjecture

Published on 25 Mar 2026 - 16:01

187

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Nontrivial rational solution of $x^3-3x^2+3x+1=y^2$

Published on 27 Mar 2026 - 10:11

106

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Find this diophantine equation intgers $x^4+4x^3y-6x^2y^2-4xy^3+y^4=1$

Published on 04 Nov 2016 - 13:45

680

Views

Solve the Diophantine equation $a+2b=2ab$, where $(a,b)$ are positive integers.

Published on 08 Nov 2016 - 19:28

76

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(More efficiently) solving for residue classes $\pmod {2^A}$?

Published on 28 Mar 2026 - 8:29

303

Views

Diophantine equation $9x_1$+$12x_2$+$16x_3$=13

Published on 12 Nov 2016 - 9:55

770

Views

Unique pair of positive integers $(p,n)$ satisfying $p^3-p=n^7-n^3$ where $p$ is prime

Published on 12 Nov 2016 - 14:01

798

Views

Trouble finding all positive solutions on linear diophantine equations with 3 variables

Published on 12 Nov 2016 - 18:37

57

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the diophantine forms of the equation $a^2 +b^3 = c^5$

Published on 13 Nov 2016 - 6:36

420

Views

Cubic equation and points on an elliptic curve

Published on 27 Mar 2026 - 10:08

222

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Find all positive integers such that x^y=y^x

Published on 02 Apr 2026 - 18:06

1k

Views

Find all solutions to $m^2 − n^2 = 105$, for which both m and n are integers

Published on 14 Nov 2016 - 18:24

List Question

For what $n$ does $x^4+y^4\equiv 0\pmod n\implies x\equiv y\equiv 0\pmod n$

Finding gcd(a,b) using Diophantine Equation?

How to split 59 in $\mathbb{Q}(\sqrt{13})$

A conjecture relate to Euler's sum of powers conjecture

Nontrivial rational solution of $x^3-3x^2+3x+1=y^2$

Find this diophantine equation intgers $x^4+4x^3y-6x^2y^2-4xy^3+y^4=1$

Solve the Diophantine equation $a+2b=2ab$, where $(a,b)$ are positive integers.

(More efficiently) solving for residue classes $\pmod {2^A}$?

Diophantine equation $9x_1$+$12x_2$+$16x_3$=13

Unique pair of positive integers $(p,n)$ satisfying $p^3-p=n^7-n^3$ where $p$ is prime

Trouble finding all positive solutions on linear diophantine equations with 3 variables

the diophantine forms of the equation $a^2 +b^3 = c^5$

Cubic equation and points on an elliptic curve

Find all positive integers such that x^y=y^x

Find all solutions to $m^2 − n^2 = 105$, for which both m and n are integers

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