Erdős–Straus conjecture

The Erdős–Straus conjecture is a problem in number theory that was proposed by the mathematicians Paul Erdős and George Strauss in 1948. The conjecture asserts that for every integer \( n \geq 2 \), the equation \[ \frac{4}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z} \] has solutions in positive integers \( x, y, z \).