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Given any infinite set $A\subset \mathbb{N}$ there is a set $B$ of density $0$ such that $A+B$ contains all except finitely many integers.
#31
:
[Er56]
[Er59]
[Er73]
number theory
,
additive basis
Conjectured by Erdős and Straus. Proved by Lorentz
[Lo54]
.
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