Combinatorics
WithdrawnWithdrawn 6 Oct 2026
HOLD_STATEMENT_SOURCE_DISCREPANCY (the constant c elaborates as a natural number, not the intended positive real. Admission is suspended pending a decision between retiring the defective statement and admitting a corrected one; the target is not solved and not retired. See HOLDS-2026-10-06.md.)
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Formal statement
Proof target
import FormalConjectures.ErdosProblems.«564»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos564.erdos_564" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∃ c > 0, ∀ᶠ (n : ℕ) in Filter.atTop, 2 ^ 2 ^ (c * n) ≤ ↑(Combinatorics.hypergraphRamsey 3 n)Original conjecture source: FormalConjectures/ErdosProblems/564.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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Individual lemmas, special cases and supporting work, shown in their original scope.
Nothing has been published against this problem yet.