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Erdős problem 244

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Let C>1C > 1. Does the set of integers of the form p+⌊Ck⌋p + \lfloor C^k \rfloor, for some prime pp and k≥0k\geq 0, have density >0>0?

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Exact provenance

Problem row
sha256:82a9a993109c3c8f91d85b3cfa41ac2a18990bc853779506021d3bb0d3d3ca4d
Metadata
sha256:5b536a2c5a28e3501a0476699fa5774db3746e8a35a02dfdeffa7b8e6ccb0c19
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:cf492b0d8023a7b3834d7b2d70a3a0907a3032e3f614a2f8d7e05e61b4cc2c87
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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