Back to Problems

erdos_44.empty_start

Specification

The case where we start with an empty set (constructing large Sidon sets).

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement 
theorem erdos_44.empty_start : answer(sorry) ↔ ∀ᵉ (ε > (0 : ℝ)), ∀ᶠ (M : ℕ) in Filter.atTop,
    ∃ᵉ (A ⊆ Finset.Icc 1 M), IsSidon (A : Set ℕ) ∧ (1 - ε) * Real.sqrt M ≤ A.card
ID: ErdosProblems__44__erdos_44.empty_start
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.