About the Erdos-Straus Conjecture
The Conjecture
For all integers n ≥ 2, the fraction 4/n can be expressed as the sum of three unit fractions:
4/n = 1/x + 1/y + 1/z
where x, y, and z are positive integers.
Examples
n = 5: 4/5 = 1/2 + 1/4 + 1/20
n = 7: 4/7 = 1/2 + 1/7 + 1/14
n = 11: 4/11 = 1/3 + 1/11 + 1/33
The Challenge
Verified up to massive numbers, but not proven for all n. Finding a counterexample would be a major discovery!