Erdős problem 646 · problems.science

Let $p_1,\ldots,p_k$ be distinct primes. Are there infinitely many $n$ such that $n!$ is divisible by an even power of each of the $p_i$ ?

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:088e5678d982e089d09c5b850f1fd26a80033c6539cd81d03399cb2562490166
Metadata: sha256:8c2c9d0d7b9f3bc07c1f2c080f7f17fc091c0358b381fa641c945db84ca0201b
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:9354ef16b4395624fbb0b77a2f710a9bcb662a1463094bb4965088f949dffafb

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