Erdős problem 298 · problems.science

Does every set $A \subseteq \mathbb{N}$ of positive density contain some finite $S \subset A$ such that $\sum_{n \in S} \frac{1}{n} = 1$ ?

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Problem row: sha256:49cddc160fffbd0e0d16d89c7a55bfd6e39f1bf2953ed75834951de966e350d8
Metadata: sha256:412697e7f881f36e0c9a24135a2b790ee67b7bd55c5c4fbc210a593271f213c4
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:33af58a683dbf6082d8ef06dfa56ad14c28d00d0b51c1ac5fb7d3b4153d025c6

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207