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Erdős problem 234

Is it true that for all c ≥ 0, the density f c of integers for which (p (n + 1) - p n) / log n < c exists and is a continuous function of c?

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Problem row
sha256:befb09315287be2c6b3d139005622c38345d176d1f042aaead6cbe138b94b443
Metadata
sha256:29a099c983c16f1e4bfa3f9c2314bc1b486f839264c2c1e9c2787898b0b1f84a
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:5813bd3481ef821de2acbb544741807020564f147c1ad34d213614b9d018e307
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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