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Solve it Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Add the first piece Even one lemma helps. Whoever finishes this later shares the pool with everyone who got them there.
contrib new erdos-126-variants-islittleoCommand line, then a pull request on GitHub.
← Erdős problem 124 - ne zero Erdős problem 128 →
What has been built Nothing has been published against this problem yet.
A first lemma is worth as much as a last one: whoever closes the problem shares the pool with everyone who got them there.
Proof target
import FormalConjectures.ErdosProblems.«126»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos126.erdos_126.variants.isLittleO" := by
sorry
end Bounty
Open this target’s Challenge.lean Original conjecture (Lean type)
∀ (f : ℕ → ℕ), Erdos126.IsMaximalAddFactorsCard f → (fun n => ↑(f n)) =o[Filter.atTop] fun n => ↑n / Real.log ↑nOriginal conjecture source: FormalConjectures/ErdosProblems/126.lean
Source type SHA-256 sha256:e51da61bab02dff3343888e4508dfbd1cb0dcede06e43085d132d5f8a50b05e1
Task id fc-8432eac9-variants-islittleo-10e93a8905-formalized-v1
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28 Sept 2025 nothing published against this one yet 20 Sept 2026
erdosproblems.com/126
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.
Our channel is in the Bittensor Discord server. Join the server first, then open the channel to send your report.
Reward
$2,291
for closing this problem
Whoever closes it takes the bounty. Published pieces that helped get there share a separate contribution pool, paid out once the problem is closed.
Set by bounty policy linear-age-v3-locked: the amount is worked out from how long the problem has stood open, so it moves as the pool and the pool's age profile move.
Prove it or break it
The same problem accepts both. You can submit a proof of the statement or a counterexample that refutes it, and you choose which when you submit.
Prove the statement no attempts
Find a counterexample no attempts
Erdős problem 126 - is Little O · Conjectures.io