Number theory
Date added
$5,155 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-1095-variants-log-isthetaCommand line, then a pull request on GitHub.
1 piece · 38 lemmas
8 Sept 2026
conjectures-tasks
The pinned statement, the Lean challenge file and the exact bundle you build against.
versions/fc-v2-variants-log-istheta-1cf5d2c61e18d210d2c6e96a-formalized →
conjectures-contribution
Every published piece for this problem, with its Lean source and its signed record.
contributions/erdos-1095-variants-log-istheta →
Formal statement
Proof target
import Mathlib
import FormalConjectures.ErdosProblems.«1095»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos1095.erdos_1095.variants.log_isTheta" := by
sorry
end Bounty
Original conjecture (Lean type)
(fun k => Real.log ↑(Erdos1095.g k)) =Θ[Filter.atTop] fun k => ↑k / Real.log ↑kOriginal conjecture source: FormalConjectures/ErdosProblems/1095.lean
The audit patch changes this file, so the upstream version can differ from the statement above.
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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