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Erdős problem 885

Is it true that, for every k≥1k \geq 1, there exist integers N1<⋯<NkN_1 < \dots < N_k such that ∣∩iD(Ni)∣≥k|\cap_i D(N_i)| \geq k?

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Problem row
sha256:46bfb904f89c300c339089a796e6bfb1ae89e2fe154cccdb6c28d4596ca2cb63
Metadata
sha256:24402e585a35f80979eb7926e3b9084e1f5848df7d2331e2efd4e25d129abd96
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:5484b5b185ec5aebe447b2f29fceb8a1637b2a1c506647e0962cfc6e9508f7e0
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
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