List questions from diophantine-equations

Published on 22 Sep 2014 - 21:02

99

Views

$x^4-2x^3+x=y^4+3y^2+y$ in the set of integers

Published on 24 Sep 2014 - 13:42

53

Views

$f(x)=x^3+ax^2+bx+p=0$ has no integral solutions.

Published on 25 Sep 2014 - 21:28

461

Views

Non-linear diophantine equation

Published on 26 Sep 2014 - 11:53

720

Views

Is Legendre’s solution of the general quadratic equation the only one?

Published on 27 Mar 2026 - 14:58

402

Views

3 Variable Diophantine Equation

Published on 27 Sep 2014 - 1:09

887

Views

Homogeneous diophantine equation

Published on 25 Mar 2026 - 17:31

300

Views

What is the density of solutions for Pythagoras' and Fermat's equation $x^2+y^2=z^2$

Published on 27 Sep 2014 - 9:40

118

Views

Is there also an other way, to prove that the diophantine equation has no solution?

Published on 27 Sep 2014 - 15:38

88

Views

Show that there are only trivial solutions

Published on 27 Sep 2014 - 16:38

96

Views

Quadruples of integers with $20^x + 14^{2y} = (x + 2y + z)^{zt}.$

Published on 28 Sep 2014 - 19:48

1.6k

Views

Prove by contradiction that $\forall x,y \in \Bbb Z: x^2-4y \ne 2$

Published on 28 Sep 2014 - 22:58

75

Views

Number of integer solutions of two similar equations

Published on 30 Sep 2014 - 5:56

486

Views

Numbers represented as two different sums of squares

Published on 26 Mar 2026 - 21:34

978

Views

Prove that there are infinitely many integer solutions to a diophantine equation

Published on 30 Sep 2014 - 17:21

List Question

Is there any integer solutions of $3x^3+3x+7=y^3$?

$x^4-2x^3+x=y^4+3y^2+y$ in the set of integers

$f(x)=x^3+ax^2+bx+p=0$ has no integral solutions.

Non-linear diophantine equation

Is Legendre’s solution of the general quadratic equation the only one?

3 Variable Diophantine Equation

Homogeneous diophantine equation

What is the density of solutions for Pythagoras' and Fermat's equation $x^2+y^2=z^2$

Is there also an other way, to prove that the diophantine equation has no solution?

Show that there are only trivial solutions

Quadruples of integers with $20^x + 14^{2y} = (x + 2y + z)^{zt}.$

Prove by contradiction that $\forall x,y \in \Bbb Z: x^2-4y \ne 2$

Number of integer solutions of two similar equations

Numbers represented as two different sums of squares

Prove that there are infinitely many integer solutions to a diophantine equation

Trending Questions

Popular # Hahtags

Popular Questions