Combinatorics
Date added
$5,226 bounty1 piece from 1 personlast one 2 months ago
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
A lemma, a definition, a special case. There is no race: when someone closes the problem, up to half of its bounty can go to the recognised pieces that led there.
contrib new erdos-723-variants-eq-12Command line, then a pull request on GitHub.
1 piece · 2 lemmas
1 Sept 2026
Prime powers are orders of projective planes
5FqLp5…FfZZiK · 2 lemmas
conjectures-tasks
The pinned statement, the Lean challenge file and the exact bundle you build against.
versions/fc-v2-variants-eq-12-b13630efb5558c58de279b05-formalized →
conjectures-contribution
Every published piece for this problem, with its Lean source and its signed record.
contributions/erdos-723-variants-eq-12 →
Formal statement
Proof target
import Mathlib
import FormalConjectures.ErdosProblems.«723»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos723.erdos_723.variants.eq_12" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∃ P L x x_1 x_2 pp, Configuration.ProjectivePlane.order P L = 12Original conjecture source: FormalConjectures/ErdosProblems/723.lean
References
Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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