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-828-variants-lehmer-conjectureCommand line, then a pull request on GitHub.
1 piece · 35 lemmas
3 Sept 2026
Lehmer candidates: five-factor, Carmichael, and normal-support API
5FqLp5…FfZZiK · 35 lemmas
conjectures-tasks
The pinned statement, the Lean challenge file and the exact bundle you build against.
versions/fc-v2-variants-lehmer-conjecture-ce5e76c26f8937b811237d1d-formalized →
conjectures-contribution
Every published piece for this problem, with its Lean source and its signed record.
contributions/erdos-828-variants-lehmer-conjecture →
Formal statement
Proof target
import Mathlib
import FormalConjectures.ErdosProblems.«828»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos828.erdos_828.variants.lehmer_conjecture" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∀ n > 1, n.totient ∣ n - 1 ↔ Prime nOriginal conjecture source: FormalConjectures/ErdosProblems/828.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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