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Erdős problem 451

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Let nkn_k be the least integer greater than 2k2k for which ∏i=1k(nk−i)\prod_{i=1}^k (n_k - i) has no prime factor in (k,2k)(k, 2k). How rapidly must nkn_k grow?

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Problem row
sha256:a2f5a9c55e66df3dabc64996b6baacfc048efd05878828b822753810e6b979a4
Metadata
sha256:18240b165561d7a98822b98ea68d656dbacddd0f96a43c33f9b8f324ab0c0ea6
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:b815c194e7ad76177e15a1f9cd8d8e9290b2cbcea3303a90907c0893a4929342
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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