New posts in diophantine-equations

Hard system in integers related to natural number representations

number-theory inequality diophantine-equations computer-algebra-systems palindrome

On equations $m^2+1=5^n$

number-theory elementary-number-theory contest-math diophantine-equations

Does every number base have at least one "Baseless number"?

number-theory diophantine-equations examples-counterexamples recreational-mathematics number-systems

$2^n + 3^n = x^p$ has no solutions over the natural numbers

number-theory elementary-number-theory diophantine-equations

Find the positive integer solutions of $m!=n(n+1)$

elementary-number-theory diophantine-equations

Integral solutions $(a,b,c)$ for $a^\pi + b^\pi = c^\pi$

number-theory diophantine-equations

Solutions to $A^N+B^N=C^N \pm 1$

number-theory diophantine-equations perfect-powers

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

number-theory elementary-number-theory algebraic-number-theory diophantine-equations

Solutions of $q=\frac{x}{y} +\frac{y}{z} + \frac{z}{x}$ s.t. $q \geq 3$

number-theory diophantine-equations rational-numbers

triangles in $\mathbb{R}^n$ with all vertices in $\mathbb{Q}^n$

geometry elementary-number-theory diophantine-equations

Prove that ${x^7-1 \over x-1}=y^5-1$ has no integer solutions

polynomials contest-math diophantine-equations

Solve in $\mathbb{Z}$ the equation $x^4 + 1 = 2y^2$.

number-theory diophantine-equations gaussian-integers

Prove $\frac{\text{Area}_1}{c_1^2}+\frac{\text{Area}_2}{c_2^2}\neq \frac{\text{Area}_3}{c_3^2}$ for all primitive Pythagorean triples

real-analysis geometry number-theory diophantine-equations

Integers $x$ such that $\frac{nx}{x-n}$ is an integer

elementary-number-theory divisibility diophantine-equations

An equation of the form A + B + C = ABC [duplicate]

elementary-number-theory contest-math diophantine-equations recreational-mathematics

diophantine equation in positive integers

number-theory diophantine-equations

Finding the common integer solutions to $a + b = c \cdot d$ and $a \cdot b = c + d$

diophantine-equations recreational-mathematics

Solve $(a^2-1)(b^2-1)=\frac{1}4 ,a,b\in \mathbb Q$

number-theory diophantine-equations

Is the Diophantine equation $y(x^3-y)=z^2+2$ solvable?

elementary-number-theory diophantine-equations

$x^5 + y^2 = z^3$

elementary-number-theory contest-math diophantine-equations