Back to Problems

erdos_234

Specification

Is it true that for all `c ≥ 0`, the density `f c` of integers for which `(p (n + 1) - p n) / log n < c` exists and is a continuous function of `c`?

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement 
theorem erdos_234 : answer(sorry) ↔ ∃ f : ℝ≥0 → ℝ, Continuous f ∧
    ∀ c : ℝ≥0, HasDensity {n : ℕ | primeGap n / log n < c} (f c)
ID: ErdosProblems__234__erdos_234
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.