New posts in diophantine-equations

Exponential diophantine equation involving a prime number

The equation $a^{4n}+b^{4n}+c^{4n}=2d^2$

Rational points on $y^5 = x^4 + x^3 + x^2 + x + 1$

Proving a statement regarding a Diophantine equation

Integer solutions of $x^3+y^3=z^3$ using methods of Algebraic Number Theory

A difficult Diophantine equation

Can $4\cdot n!-4n+1$ be a perfect square when $n>4$?

Link between the negative pell equation $x^2-dy^2=-1$ and a certain continued fraction

Diophantine equation $x^y-y^x=11$

Statistics for $N$ in sum of cubes $a^3+b^3+c^3 = N^3$?

Solution of $X^5=5 Y (Y+1)+1$ in integers.

$a^2+b^3=c^5$Are there infinitely many solutions?

Find all integer solutions to $x^2+4=y^3$. [duplicate]

Heronian triangle Generator

Pairs of $(p,q)$ such that $p^2 + 1 = 2 q^2$?

Solving $n! + 3n = k^2$

Wieferich's criterion for Fermat's Last Theorem

On Bachet's Duplication Formula and the number $-432$

Solving integer equation $a^3+b^3=a^2+72ab+b^2$

Find the possible values of $a$, $b$ and $c$?