Erdős–Straus conjecture
= Erdős–Straus conjecture
{wiki=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 \\).