Back to Problems

erdos_329.lower_bound

Specification

Erdős proved that upper density `1 / 2` can be attained; in particular, there exists a Sidon set whose upper density is *at least* `1 / 2`.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement 
theorem erdos_329.lower_bound : ∃ (A : Set ℕ), IsSidon A ∧ sidonUpperDensity A ≥ 1/2
ID: ErdosProblems__329__erdos_329.lower_bound
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.