New posts in diophantine-equations

Is it true that $f(x,y)=\frac{x^2+y^2}{xy-t}$ has only finitely many distinct positive integer values with $x$, $y$ positive integers?

number-theory diophantine-equations vieta-jumping

Find All $x$ values where $f(x)$ is Perfect Square

number-theory diophantine-equations square-numbers pell-type-equations

How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$

elementary-number-theory diophantine-equations

On the Diophantine equation $a^2+b^2 = c^2+k$

number-theory limits diophantine-equations

Integer solutions of a monic polynomial

polynomials diophantine-equations

Machin's formula and cousins

trigonometry diophantine-equations pi

Equation with solution in prime numbers

number-theory prime-numbers diophantine-equations

Number of integral solutions for $|x | + | y | + | z | = 10$

combinatorics number-theory diophantine-equations

System of one quadratic and two linear equations over the positive integers

systems-of-equations diophantine-equations

Nature and number of solutions to $xy=x+y$

calculus number-theory diophantine-equations analytic-geometry

Minimum of $n$? $123456789x^2 - 987654321y^2 =n$ ($x$,$y$ and $n$ are positive integers)

number-theory diophantine-equations

Find all integer solutions to Diophantine equation $x^3+y^3+z^3=w^3$

number-theory diophantine-equations

Numbers that are clearly NOT a Square

elementary-number-theory diophantine-equations factorial square-numbers conjectures

Solving $x^3-y^3=xy+61$ in integers

elementary-number-theory diophantine-equations

Positive integral solutions of $3^x+4^y=5^z$

diophantine-equations

Quadratic Diophantine Equation $x^2 + axy + y^2 = z^2$

diophantine-equations quadratic-forms

Find all integers $x$, $y$, and $z$ such that $\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$

number-theory diophantine-equations

Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

combinatorics number-theory diophantine-equations generating-functions linear-diophantine-equations

Diophantine equation involving prime numbers : $p^3 - q^5 = (p+q)^2$

elementary-number-theory prime-numbers diophantine-equations

If $p$, $q$ are naturals, solve $p^3-q^5=(p+q)^2$.

number-theory elementary-number-theory diophantine-equations