google-deepmind / google-deepmind/formal-conjectures

Erdős Problem 724

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ams-05: Combinatorics erdos-problems new conjecture
Dominant language
Lean
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Description

### What is the conjecture

https://www.erdosproblems.com/724

Let $f(n)$ be the maximum number of mutually orthogonal Latin squares of order $n$. Is it true that
$$f(n) \gg n^{1/2}?$$

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

Open the contributing guide

Research direction

Read the conjecture and status at erdosproblems.com/724, then inspect the formal-conjectures repository for how existing conjectures are represented in Lean. The issue names no file or test, so the starting entry point must be found in the repository. Done means the Erdős Problem 724 statement has been added to the collection in a verified Lean form.

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
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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