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Erdős problem 821

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Is it true that, for every ϵ>0\epsilon>0, there exist infinitely many nn such that g(n)>n1−ϵg(n) > n^{1-\epsilon}?

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Problem row
sha256:ae53dacb29b225b649487f91f6489b569d67dd91bf89d5e6bb70806da76ff416
Metadata
sha256:9e0b40dc482e83560eb41ca815db965bfc5dcb97277080e4d97c58cc3e08fe70
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:d2bae2259335003169c04a1a920db6ab25954d2bbd9755d28c1109e2844f40b6
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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