Number theory
p, does the density of integers with h n = p exist? Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«770»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos770.erdos_770.parts.i" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∀ (p : ℕ), Nat.Prime p → ∃ a, {n | Erdos770.h n = ↑p}.HasDensity aOriginal conjecture source: FormalConjectures/ErdosProblems/770.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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