List questions from diophantine-equations

Published on 15 Jun 2019 - 12:09

306

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Can long numbers be "3-palindromic"?

Published on 27 Mar 2026 - 14:14

976

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Reducibility of $x^3+nx+1$ over $ \Bbb Z$

Published on 27 Mar 2026 - 3:59

217

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How to solve congruence using diophantine equation?

Published on 17 Jun 2019 - 11:31

318

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Prove that Markov numbers has all the solution to the Markov Diophantine equation

Published on 19 Jun 2019 - 13:32

121

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Does $y^2 = x^6 - 3x^5 + 3x^4 + 10x^3 + 3x^2 - 3x + 1$ have any rational solutions?

Published on 23 Feb 2026 - 1:06

224

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Positive integral solutions to $\frac{m(m+5)}{n(n+5)}=p^2$, where $p$ is prime.

Published on 19 Jun 2019 - 17:42

420

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Solutions mod p of the equation $x^4-17=2y^2$

Published on 19 Jun 2019 - 21:54

273

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Finding integer solutions in diophantine equations

Published on 20 Jun 2019 - 17:38

220

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Existence of integer solution of $x^3+y^3+dz^3=0$ with $d$ cube-free

Published on 20 Jun 2019 - 17:41

176

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If $x,\,y$ be integers and suppose that $x^{2}- y^{3}= 17$, prove each following proposition true.

Published on 24 Jun 2019 - 10:33

121

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Number of ordered pairs of integers $(x,y)$ satisfying the equation $x^2+6x+y^2=4$

Published on 24 Jun 2019 - 22:41

895

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How to demonstrate that this may belong to integers

Published on 25 Jun 2019 - 0:08

112

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Prove this equation has only two integer solutions

Published on 25 Jun 2019 - 0:49

126

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Does the Diophantine equation $x^2 + y^2 = 12x +7$ have any solution?

Published on 25 Jun 2019 - 11:39

List Question

Particular solution to a diophantine in terms of $n$

Can long numbers be "3-palindromic"?

Reducibility of $x^3+nx+1$ over $ \Bbb Z$

How to solve congruence using diophantine equation?

Prove that Markov numbers has all the solution to the Markov Diophantine equation

Does $y^2 = x^6 - 3x^5 + 3x^4 + 10x^3 + 3x^2 - 3x + 1$ have any rational solutions?

Positive integral solutions to $\frac{m(m+5)}{n(n+5)}=p^2$, where $p$ is prime.

Solutions mod p of the equation $x^4-17=2y^2$

Finding integer solutions in diophantine equations

Existence of integer solution of $x^3+y^3+dz^3=0$ with $d$ cube-free

If $x,\,y$ be integers and suppose that $x^{2}- y^{3}= 17$, prove each following proposition true.

Number of ordered pairs of integers $(x,y)$ satisfying the equation $x^2+6x+y^2=4$

How to demonstrate that this may belong to integers

Prove this equation has only two integer solutions

Does the Diophantine equation $x^2 + y^2 = 12x +7$ have any solution?

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