Back to Problems

erdos_394_lower_bound

Specification

Since $t_2(p)=p-1$ for prime $p$ it is trivial that $\sum_{n\leq x}t_2(n)\gg \frac{x^2}{\log x}$.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement
theorem erdos_394_lower_bound :
    (fun x ↦ x ^ 2 / Real.log x) ≫
    (fun x ↦ ∑ n ∈ Icc 1 ⌊x⌋₊, (t 2 n : ℝ))
ID: ErdosProblems__394__erdos_394_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.