Newbetuts

How many solutions are there to $x+y+z=14$ where $x,y,z$ are all non-negative integers, $x \leq 5, y \leq 6, z \leq 7$?

Algebra - Solving for three unknowns.

Show that $x^3-x^2+8=y^2$ has no integer solution

$p^2 - 2 q^2 = 5039$ for primes $p, q$

Positive integers $a,b$ satisfying $a^3+a+1=3^b$

Roots with equal fractional parts

Representation of a number as a sum of squares.

The sum of three cubes

Are there any positive integers such that $\frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 1$?

Near-Pythagorean triplets: What are the general solutions to $a^2+b^2=c^2-1$?

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

Which triangular numbers are also squares?

On the equation $(a^2+1)(b^2+1)=c^2+1$

Minimum of $|az_x-bz_y|$

How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?

Positive integer solutions to $x^4+y^7=z^9$

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

New posts in diophantine-equations

Quadratic residue

Can $3p^4-3p^2+1$ be square number?

Parametric characterization for $x^2 + y^2 = 2z^2$

How many solutions are there to $x+y+z=14$ where $x,y,z$ are all non-negative integers, $x \leq 5, y \leq 6, z \leq 7$?

Algebra - Solving for three unknowns.

Show that $x^3-x^2+8=y^2$ has no integer solution

$p^2 - 2 q^2 = 5039$ for primes $p, q$

Positive integers $a,b$ satisfying $a^3+a+1=3^b$

Roots with equal fractional parts

Representation of a number as a sum of squares.

The sum of three cubes

Are there any positive integers such that $\frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 1$?

Near-Pythagorean triplets: What are the general solutions to $a^2+b^2=c^2-1$?

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

Which triangular numbers are also squares?

On the equation $(a^2+1)(b^2+1)=c^2+1$

Minimum of $|az_x-bz_y|$

How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?

Positive integer solutions to $x^4+y^7=z^9$

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