Back to Problems

erdos_295.variants.erdos_straus

Specification

Erdős and Straus have proved the existence of some constant $c>0$ such that $-c < k(N)-(e-1)N \ll \frac N {\log N}$

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement
theorem erdos_295.variants.erdos_straus :
    ∃ᵉ (C > 0) (O > 0), ∀ᶠ (N : ℕ) in Filter.atTop,
      (k N - (rexp 1 - 1)*N) ∈ Set.Ioc (-C) (O * N / (N : ℝ).log)
ID: ErdosProblems__295__erdos_295.variants.erdos_straus
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.