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Erdős problem 323

Is it true that fk,k(x)≫ϵx1−ϵf_{k,k}(x) \gg_\epsilon x^{1-\epsilon} for all ϵ>0\epsilon>0?

Sources

The source's own material, retained exactly.

4 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

323.lean

Retained formal statement4 of 4

For k>2k>2 it is not known if fk,k(x)=o(x)f_{k,k}(x)=o(x).

FormalConjectures/ErdosProblems/323.leanErdos323.erdos_323.variants.k_gt_21 lineExact file
True ↔ ∀ k > 2, (fun x => ↑(Erdos323.f k k x)) =o[Filter.atTop] fun x => ↑x
OpenStatement only, no proof