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Erdős problem 258

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Let an→∞a_n \to \infty be a sequence of non-zero natural numbers. Is ∑nd(n)(a1...an)\sum_n \frac{d(n)}{(a_1 ... a_n)} irrational, where d(n)d(n) is the number of divisors of nn?

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Problem row
sha256:22c6e275ec66d3e11fb8240851ca7c2b012cc30e0b521612b3be91daf6363991
Metadata
sha256:bcdd27432c93405916b0da50013fa83a1b1e68dc4f66cf469ef1f6dad4b48fbe
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:1190fc2ae78df5707aa14f38a719b9b3e0d503fd012266a45d72af9d7bf9e456
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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