For every n > 1, 4/n is a sum of three unit fractions.

Statement

For every integer $n > 1$ there exist positive integers $x, y, z$ with $\tfrac{4}{n} = \tfrac1x + \tfrac1y + \tfrac1z$ (Erdős-Straus).

Assessment

Renown 3/5

The best-known Egyptian-fraction conjecture.

Attackability 1/5

A counterexample is a single prime n (checkable by bounded search), but verification extends beyond 10^17 and density arguments make survivors implausible.

finite witness

5/5

oracle cost

4/5

freshness

0/5

seedability

0/5

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

I resolved this

Name or handle Email (not public) Resolution type counterexampleproof prior work found Evidence URL One-line note Report resolution publicly

I’m attacking this

Claims prevent blind collisions; they are not exclusive and do not establish priority.

Name or handle Email (for verification; not public) Email me a verification link