Back to Problems

kruckeberg_1961

Specification

Krückeberg ([Kr61]) exhibited an infinite Sidon set `A` with `sidonUpperDensity A = 1 / Real.sqrt 2`, improving Erdős’ earlier `1 / 2` lower bound. [Kr61] Krückeberg, Fritz, $B\sb{2}$-Folgen und verwandte Zahlenfolgen. J. Reine Angew. Math. (1961), 53-60.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement
theorem kruckeberg_1961 : ∃ (A : Set ℕ), IsSidon A ∧
    sidonUpperDensity A = 1 / Real.sqrt 2
ID: ErdosProblems__329__kruckeberg_1961
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.