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arxiv: math/0209137 · v1 · submitted 2002-09-11 · 🧮 math.NT · math.CO

On Thin Sets of Primes Expressible as Sumsets

classification 🧮 math.NT math.CO
keywords setselementsprimeseitherexpressibleinfiniteleastnumber
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Suppose that P is an infinite set of primes such that P = A + B + C, where A,B,C are sets with at least two elements. We show that if P(x) > c x/log^d x (where P(x) = the number of elements of P that are <= x), and if A,B,C is a "regular" triple of sets, then either |A+B| <= d, or |B+C| <= d, or |A+C| <= d.

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