List questions from diophantine-equations

Published on 25 Mar 2026 - 14:32

464

Views

Can the sum of the first $n$ squares be a cube?

Published on 26 Nov 2016 - 10:24

168

Views

Perfect powers in the solution of a certain Pell equation

Published on 28 Nov 2016 - 11:22

1.5k

Views

Show that equation $x^2+y^2+z^2=(x-y)(y-z)(z-x)$ has infinitely many solutions in integers $x,y,z$

Published on 28 Nov 2016 - 16:43

351

Views

Why are there no positive rational solutions for the following Diophantine equation over the field of rational numbers?

Published on 03 Apr 2026 - 0:01

857

Views

Number of natural solutions to $x_1 + x_2 + x_3 + 2x_4 + x_5 = 72$

Published on 29 Nov 2016 - 17:34

92

Views

What method can solve the following equation: $6xy -y +x = 16$

Published on 01 Dec 2016 - 13:30

672

Views

Diophantine equation no integer solutions

Published on 01 Dec 2016 - 15:11

70

Views

Diophantine equation involving arithmetical functions

Published on 26 Mar 2026 - 13:01

61

Views

Are there any integer solutions for $a$, $b$, $c$, $d$ such that $ad^2+{b^2}c=0$

Published on 02 Dec 2016 - 18:35

44

Views

Particular diophantine in three variables

Published on 02 Dec 2016 - 20:16

181

Views

When will this quadratic be a perfect square?

Published on 03 Dec 2016 - 13:18

428

Views

Solutions to the diophantine equation $x^n-2y^n=1$. Can the sum of the first $n$ squares be a perfect power?

Published on 26 Mar 2026 - 6:01

1.1k

Views

Check whether positive integral solution $(x,y)$ exists for $ax + by = n$

Published on 25 Mar 2026 - 14:32

235

Views

How can I solve the folowing Diophantine equation with two unknowns?

Published on 25 Mar 2026 - 14:37

List Question

3 variable diophantine equation word problem: coins

Can the sum of the first $n$ squares be a cube?

Perfect powers in the solution of a certain Pell equation

Show that equation $x^2+y^2+z^2=(x-y)(y-z)(z-x)$ has infinitely many solutions in integers $x,y,z$

Why are there no positive rational solutions for the following Diophantine equation over the field of rational numbers?

Number of natural solutions to $x_1 + x_2 + x_3 + 2x_4 + x_5 = 72$

What method can solve the following equation: $6xy -y +x = 16$

Diophantine equation no integer solutions

Diophantine equation involving arithmetical functions

Are there any integer solutions for $a$, $b$, $c$, $d$ such that $ad^2+{b^2}c=0$

Particular diophantine in three variables

When will this quadratic be a perfect square?

Solutions to the diophantine equation $x^n-2y^n=1$. Can the sum of the first $n$ squares be a perfect power?

Check whether positive integral solution $(x,y)$ exists for $ax + by = n$

How can I solve the folowing Diophantine equation with two unknowns?

Trending Questions

Popular # Hahtags

Popular Questions