Erdős problem 258 · problems.science

Let $a_n \to \infty$ be a sequence of non-zero natural numbers. Is $\sum_n \frac{d(n)}{(a_1 ... a_n)}$ irrational, where $d(n)$ is the number of divisors of $n$ ?

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Problem row: sha256:22c6e275ec66d3e11fb8240851ca7c2b012cc30e0b521612b3be91daf6363991
Metadata: sha256:bcdd27432c93405916b0da50013fa83a1b1e68dc4f66cf469ef1f6dad4b48fbe
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:1190fc2ae78df5707aa14f38a719b9b3e0d503fd012266a45d72af9d7bf9e456

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207

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