Back to Problems

erdos_1102.density_zero_of_P

Specification

If `A = {a₁ < a₂ < …}` has property P, then `A` has natural density `0`. Equivalently, `(a_j / j) → ∞` as `j → ∞`.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement 
theorem erdos_1102.density_zero_of_P
    (A : ℕ → ℕ)
    (h_inc : StrictMono A)
    (hP : HasPropertyP (range A)) :
    Tendsto (fun j => (A j / j : ℝ)) atTop atTop
ID: ErdosProblems__1102__erdos_1102.density_zero_of_P
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.