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Erdős problem 997

Is it true that, for every α\alpha, the sequence {αpn}\{ \alpha p_n\} is not well-distributed, if pnp_n is the sequence of primes?

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Problem row
sha256:42f6799b8ae91351fa625b9fed12e5a4c8064a5533fcf3e51d9cb8e88e71ae07
Metadata
sha256:68e963bdd8c75bb844e910e23252d3585183652c52607168a9c46c388ca3a7c2
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:6e8e875368aa6f8e51168f43db1d866d35882e9de5acd1db1cb58d1bbd4e9221
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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