We say that $A \subset N$ is an essential component if $d_{s} (A + B) > d_{s} (B)$ for every $B \subset N$ with $0 < d_{s} (B) < 1$ where $d_{s}$ is the Schnirelmann density.Can a lacunary set $A \subset N$ be an essential component?

Worked, still open.

number theory · solved · 0 attempts

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vela registry pull vfr_37aec80d874a0239

vela reproduce examples/erdos-problems

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