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@ryantuck ryantuck commented Jan 20, 2026

Formalizes conjecture for #1791

Work was done by Gemini CLI with the prompt:

formalize this conjecture, adding it to the appropriate directory and adhering to the style guide https://www.erdosproblems.com/13

It fetched the site, wrote the lean file in the correct location, and successfully ran lake build on the file.

To double-check, I asked a new gemini session to verify and it seems confident :)

Shout out to Terrence Tao for the inspiration to get involved with work like this!

Screenshot 2026-01-20 at 2 40 23 PM

@github-actions github-actions bot added the erdos-problems Erdős Problems label Jan 20, 2026
$|A| \le N/(r+1) + O(1)$?
-/
@[category research open, AMS 5 11]
theorem erdos_13_general (r : ℕ) : ∃ C : ℝ, ∀ N : ℕ,
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Since the statement is a question, maybe consider using the answer(sorry) format?

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... and can you do this?

@YaelDillies YaelDillies added the awaiting-author The author should answer a question or perform changes. Reply when done. label Jan 22, 2026
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
@@ -0,0 +1,62 @@
/-
Copyright 2025 The Formal Conjectures Authors.
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Suggested change
Copyright 2025 The Formal Conjectures Authors.
Copyright 2026 The Formal Conjectures Authors.

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3 participants