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Erdős problem 1139

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Let 1≤u1<u2<⋯1\leq u_1 < u_2 < \cdots be the sequence of integers with at most 22 prime factors. Is it true that lim sup⁡k→∞uk+1−uklog⁡k=∞?\limsup_{k \to \infty} \frac{u_{k+1}-u_k}{\log k}=\infty?

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Problem row
sha256:2101fed226fb5ef97fae6b6cbd6331177f95b260cbc33304435a0177f867461b
Metadata
sha256:49e401583669a2a18f9771a48aaa6cf67454bed50270a94ada462e97a11ec3c2
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:3f7931a6669cda65c1edc94a70d08998a2fd91bead216b9335d8b675c6b49605
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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