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Erdős problem 298

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Does every set A⊆NA \subseteq \mathbb{N} of positive density contain some finite S⊂AS \subset A such that ∑n∈S1n=1\sum_{n \in S} \frac{1}{n} = 1?

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:49cddc160fffbd0e0d16d89c7a55bfd6e39f1bf2953ed75834951de966e350d8
Metadata
sha256:412697e7f881f36e0c9a24135a2b790ee67b7bd55c5c4fbc210a593271f213c4
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:33af58a683dbf6082d8ef06dfa56ad14c28d00d0b51c1ac5fb7d3b4153d025c6
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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