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Erdős problem 248

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Are there infinitely many nn such that ω(n+k)≪k\omega(n + k) \ll k for all k≥1k \geq 1? Here ω(n)\omega(n) is the number of distinct prime divisors of nn.

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Problem row
sha256:42824369c5fcd5e1a6e9b23795c53f10bafc6b368a26189b19574000684d6b7f
Metadata
sha256:bf67d0e1c12a7a8fe0c4af33f01e120b15f5c50ac8c72dd4f6b1a8397962bcd2
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:a669ea5f1188903aefea547f5e8b34f6fee3c99e098275393242e626aa1aeb6f
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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