Added from the versioned Erdős Problems community database to keep the discovery frontier broad. The first pass must validate the exact statement, status, literature, and a concrete verification contract.
Open-problem programQueued
Erdős problem #287
Let $k\geq 2$. Is it true that, for any distinct integers $1<n_1<\cdots <n_k$ such that\[1=\frac{1}{n_1}+\cdots+\frac{1}{n_k}\]we must have $\max(n_{i+1}-n_i)\geq 3$?
Official database status is falsifiable; refine the exact certificate contract before any candidate claim.
- Difficulty
- 7/10
- Attempts
- 0
- Last attempt
- Not yet
- Source status
- falsifiable
- External validation
- none
number theoryunit fractions
Resumable campaign memory
0 epochs · 0 promising · 0 blocked · 0 ruled outResearch map
Select the cheapest new discriminator.
First action: Review the source and strategy registry.
Stop or redirect when: The planned discriminator resolves the route.
- No open lead is checkpointed.
- No strategy has completed an epoch yet.
- Nothing has been rigorously ruled out yet.
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