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Erdős problem 972

Erdős problem 972. Let α>1\alpha > 1 be irrational. Are there infinitely many primes pp such that pα\lfloor p\alpha \rfloor is also prime?

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Technical detailsExact roots, source, and retained record identifiers

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Problem row
sha256:2849469aae852f2d1e33c13007b2db67089ff029cefcaecb98dd8f03dd2df06f
Metadata
sha256:1a5d7f2568a98b54363a6a5ee1f58c8faa7ff27d08a1a8c4cd4fa6d18c8068f8
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:9afd9bb6c880d8d4dd39ba8d0c497640ae99c7b140e2dfd9e8d8c9bbeb9e9dad
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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