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Erdős problem 336

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If h(r)h(r) is the maximal finite exact order attainable by an additive basis of order at most rr, what is lim⁡r→∞h(r)/r2\lim_{r \to \infty} h(r)/r^2? The candidate proof identifies the sharp limit 1/31/3.

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If $h(r)$ is the maximal finite exact order attainable by an additive basis of order at most $r$, what is $\lim_{r \to \infty} h(r)/r^2$? The candidate proof identifies the sharp limit $1/3$.

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