google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 1070
- Dominant language
- Lean
- Stars
- 1.3k
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- 363
Description
### What is the conjecture
https://www.erdosproblems.com/1070
Let $f(n)$ be maximal such that, given any $n$ points in $\mathbb{R}^2$, there exist $f(n)$ points such that no two are distance $1$ apart. Estimate $f(n)$. In particular, is it true that $f(n)\geq n/4$?
Status: open
### Choose either option
- [ ] I plan on working on this conjecture
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else
Contributor guide
Research direction
Start by reading the conjecture and its open status at https://www.erdosproblems.com/1070, then inspect the formal-conjectures repository for comparable Erdős problem entries. Done means adding a Lean formalization of Problem 1070 to the collection.
Written by the indexing model from the issue text.
Assessment
- Domain
- tooling
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Active
- Clarity
- Needs clarification
- Newbie friendliness
- 45/100