Back to Problems
erdos_259
Specification
Is $\sum_{n} \mu(n)^2\frac{n}{2^n}$ irrational? This is true, and was proved by Chen and Ruzsa. [ChRu99] Chen, Yong-Gao and Ruzsa, Imre Z., On the irrationality of certain series. Period. Math. Hungar. (1999), 31--37.
Lean 4 Statement
theorem erdos_259 : Irrational (∑' n : ℕ, (μ n) ^ 2 * n / (2 ^ n))
Browse
All Problems
Explore all 300 unsolved conjectures.
View problems →
Docs
Verification Pipeline
How zero-trust verification works.
Read docs →
Evaluation Results
Recent Submissions
No submissions yet. Be the first to attempt this problem.