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Erdős problem 247

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Let n1<n2<⋯n_1 < n_2 < \cdots be a sequence of integers such that lim sup⁡nkk=∞. \limsup \frac{n_k}{k} = \infty. Is ∑k=1∞12nk \sum_{k=1}^{\infty} \frac{1}{2^{n_k}} transcendental?

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Problem row
sha256:932ee9cbf20d5763899daa7064cfe1746617e62465bd74b3ad46d6edabc6931e
Metadata
sha256:f396e908533fba362e2f748c4797a7399f05e4e12e59a1d9eed57d79768535ac
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:d0e8820cc6d8a64846f2698f9f98bb043c6b8c18a9a27d9da30442fcb7411188
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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