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Erdős–Turán conjecture on additive bases

 Home Mathematics Fields of mathematics Number theory Unsolved problems in number theory
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The Erdős–Turán conjecture on additive bases is a famous conjecture in additive number theory, which is concerned with the representation of integers as sums of elements from specific sets, known as additive bases. Formally, the conjecture can be stated as follows: Let \( B \) be a set of integers.

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