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Erdős problem 920

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Is it true that, for k≥4k\geq 4, fk(n)≫n1−1k−1(log⁡n)ckf_k(n) \gg \frac{n^{1-\frac{1}{k-1}}}{(\log n)^{c_k}} for some constant ck>0c_k>0?

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Problem row
sha256:1aa053ca3ce54261582739f7a652b546f1f0216622e2c2554af8928958cb6fa9
Metadata
sha256:700da84e5cfa9ea9812512a60cba68ce0649a19686463053c827f272001562b8
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:dbbf57f90790b754dbc95b4d309177f6aa53206dccd852f1a51be065a09e9ab2
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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