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Erdős problem 254

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If A⊆NA \subseteq \mathbb{N} has unbounded dyadic-shell counts and ∑n∈A∥θn∥=∞\sum_{n \in A} \|\theta n\| = \infty for every 0<θ<10 < \theta < 1, must AA be complete - is every sufficiently large integer a sum of distinct elements of AA?

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Problem row
sha256:720bf949cfa3f25df178d86ee120b0f6abc764bc32507910018f43169e845566
Metadata
sha256:f0c5aa17dcfeadf31059b24c23004a78b217da257cfe6e0e252ea96c2da8607f
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:4f95f4bb8026df1fe094bbb1e1ea393e0e11046129503950df6adb06341991d0
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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