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Erdős problem 1101

Does there exist a good pairwise-coprime sequence unu_n with ∑1/un<∞\sum 1/u_n < \infty and polynomial growth? What if one only requires un≤eo(n)u_n \le e^{o(n)}?

Sources

The source's own material, retained exactly.

3 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

1101.lean

Retained formal statement2 of 2

2. There is a good sequence with sub-exponential growth.

FormalConjectures/ErdosProblems/1101.leanErdos1101.erdos_1101.parts.ii1 lineExact file
∃ u, Erdos1101.IsGood u ∧ (fun n => Real.log ↑(u n)) =o[Filter.atTop] fun n => ↑n
OpenStatement only, no proof