Back to Problems

erdos_1095_lower_solved

Specification

The current record is\[g(k) \gg \exp(c(\log k)^2)\]for some $c>0$, due to Konyagin [Ko99b](https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0025579300007555).

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement
theorem erdos_1095_lower_solved :
    ∃ c > 0, (fun k : ℕ ↦ exp (c * log k ^ 2)) =O[atTop] fun k ↦ (g k : ℝ)
ID: ErdosProblems__1095__erdos_1095_lower_solved
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.