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Erdős problem 354

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Let α,β∈R>0\alpha,\beta\in \mathbb{R}_{>0} such that α/β\alpha/\beta is irrational. Is {⌊α⌋,⌊γα⌋,⌊γ2α⌋,…}∪{⌊β⌋,⌊γβ⌋,⌊γ2β⌋,…}\{ \lfloor \alpha\rfloor,\lfloor \gamma\alpha\rfloor,\lfloor \gamma^2\alpha\rfloor,\ldots\}\cup \{ \lfloor \beta\rfloor,\lfloor \gamma\beta\rfloor,\lfloor \gamma^2\beta\rfloor,\ldots\} complete?

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:8ddf1e03e847bfdac02c565f65fbe4a6c298eed7078fa14a70d79033985200e2
Metadata
sha256:f9db7a7668f7db151519a419ac1d0d750482ab7b0d693accaee22c5c844137cf
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:554f700e24b98fa69780d7f50353a5b53cedcc713f97613755ab770a960f7baf
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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